Mini 1720 Number Mafia | Endgame snuggles


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Mini 1720 Number Mafia | Endgame snuggles

Post Post #0 (isolation #0) » Mon Sep 21, 2015 2:03 am

Post by Plotinus »

0 0 1 1 2 2 333 44444 5555 6 6 7 88888 999 A 00 0 1 1 22 22 3 3 4 5 5 66 66 7 7 8 9 A A 0 0 0 1 1 2 2 2 333 444 5555 6 6 6 7 7 888 9 A A 0 00 1 1 2 2 3 3 4 5 5 6 6 77777 8 9 AAAAA 0 0 111 2 2 333 44444 5 5 6 6 7 7 8 999 A A


by Plotinus. Reviewed for normalcy and balance by ether, mykonian, and quadz08! Thank you!


Alive:

  • 1.
    Fro99er
    SithLord84
    *

  • 2.
    Bellaphant

  • 3.
    Espeonage
    *
  • 8.
    All Alone

  • 9.
    DeasVail

  • 12.
    lalaladucks*

  • 13.
    JarJarDrinks


Bold = [13/13] confirmed, * = prodded

Spoiler: Dead
  • pirate mollie - town Vanilla Townie - lynched day 1

  • Wanderer-nl - mafia goon - lynched day 2

  • Antihero - town Vanilla Townie - killed night 2

  • BlueBloodedToffee - mafia encryptor - lynched day 3

  • DeathRowKitty - town Vanilla Townie - killed night 3

  • MTD - mafia goon - lynched day 4


Spoiler: Modkilled
Nobody! Never!


Spoiler: Original player list
  1. SithLord84
  2. Bellaphant
  3. Espeonage
  4. Antihero
  5. BlueBloodedToffee
  6. Wanderer-nl
  7. pirate mollie
  8. All Alone
  9. DeasVail
  10. MTD
  11. DeathRowKitty
  12. lalaladucks
  13. JarJarDrinks


Spoiler: Replacement Queue
PantherPunt
pistachi0n
goodmorning
herrcombs
Malakittens
Last edited by Plotinus on Thu Oct 15, 2015 6:24 pm, edited 35 times in total.
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Post Post #1 (isolation #1) » Mon Sep 21, 2015 2:05 am

Post by Plotinus »

Rules

Inspired by Equinox’s ruleset.

important bit14-day day phase, 48 hour night phase
Majority lynches
48 hours before prod, 24 hours before replacement, 24 hour weekends
Bah posts allowed (limit: 1, free of game related content)
Don’t be a dick


  1. Follow all site rules
    .
  2. Mod colour
    -
    My colour is bold purple (3rd row 10th column). Don’t use it.

  3. Behaviour
    - Don’t be a dick. This is a heated game but below the belt attacks will not be tolerated. Attack the play not the player.
  4. Animated GIFs
    - are of the devil, but they are permitted behind spoilers if clearly labelled as such.
  5. Tiny text
    - is also of the devil, keep it 70+ please.
    New rule as of page 4

  6. Confirmation
    - You have 48 hours to confirm your role and your alignment by PM. Game will start sooner if everyone confirms. Posting in a private topic counts as confirmation.
  7. Days
    - Days last 14 days. Extensions will be granted if there are replacements.
  8. Lynching
    - Days end early when a simple majority of players (50% of living players + 1 rounded down) vote to lynch somebody. If a majority is not reached at deadline or if a majority of the players vote for no lynch, the day will end without a lynch. At evens, 50% is sufficient for no lynch.
  9. Voting
    - Votes must be in bold in the format VOTE: Plotinus or
    Vote: Plotinus
    . Strong preference for using vote tags instead of bold tags. Unvotes are nice but not required. If I think it’s a vote, it’s a vote, no tricks.
  10. Night
    - Night lasts 48 hours.
  11. Action submissions
    - You may submit actions via PM or PT. If the actions are not submitted by the deadline then you do nothing that night. You can change your mind as many times before the deadline.
  12. Play to Win
    - and have fun!


Sample Town Vanilla Townie Role PMHello, XXXX

You are a
town Vanilla Townie
.

During the day, you may vote for players you think are scummy and may use your words to convince other players to vote with you. During the night, you may reread the game thread in search of scumslips you missed during the daytime.

Alignment/win condition
: You are a
town
aligned
vanilla townie
who can win with the
town
, which will occur when all
threats
to the
town
have been eliminated.

Good luck and have fun!

Confirm:
by PMing me your role and alignment
Last edited by Plotinus on Wed Sep 23, 2015 3:22 am, edited 3 times in total.
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Post Post #2 (isolation #2) » Mon Sep 21, 2015 2:05 am

Post by Plotinus »

Randomising roles and stuff now! Yay!

edit: Sending out role PMs very soon!

Here's an awesome video about the intermediate value theorem to watch while we wait!


edit: all role PMs are out! The game will start when 11/13 have confirmed or in (expired on 2015-09-23 20:00:00)

edit: 11 have confirmed but it's almost bedtime for me so I'll open the thread when I wake up. This will be around (expired on 2015-09-22 09:00:00) from now.
Last edited by Plotinus on Wed Sep 23, 2015 3:23 am, edited 1 time in total.
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Post Post #3 (isolation #3) » Mon Sep 21, 2015 8:01 pm

Post by Plotinus »

Official Vote Count 1.00 Prime numbers and the aks test
We’ll start off by talking a bit about Prime numbers to get them out of the way because I don’t like them all that much but there are some things about Prime numbers that I do like.

Prime numbers are numbers that are only divisible by themselves and 1. Here’s a fun video on a fast way to find primes, the AKS test. It is slower than the Fermat test but unlike the Fermat test it is 100% accurate and there aren’t any false positives.




:!:
Everybody
(L-7): nobody

Not Voting
(13): All Alone, Antihero, Bellaphant, BlueBloodedToffee, DeasVail, DeathRowKitty, Espeonage, JarJarDrinks, lalaladucks, MTD, pirate mollie, SithLord84, Wanderer-nl

With 13 alive, it takes 7 to lynch.

Deadline: 279th (32*31) day of the year or in (expired on 2015-10-06 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: I love you guys! I'm really excited! I'm sure you're all going to do great!
Last edited by Plotinus on Wed Sep 23, 2015 3:18 am, edited 2 times in total.
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Post Post #26 (isolation #4) » Mon Sep 21, 2015 8:24 pm

Post by Plotinus »

Official Vote Count 1.01 Prime numbers and ulam spirals
Prime numbers are icky because most of them are odd numbers but they have some cool properties and they’re important for a lot of things, including information security. Most computer generated pseudo-random numbers rely on very large prime numbers to work, and many aspects of our daily lives would not be possible without prime numbers.

This vote count is dedicated to one of the coolest things about prime numbers: Ulam Spirals. To get an Ulam spiral, you do what a bored mathematician named Ulam did one day while he was sitting in some boring mathematics lecture at some conference and you write out the numbers on a bit of graph paper in a spiral, starting with 1 and continuing until you get bored of writing out numbers. Then you colour in the prime numbers and you get something that looks a lot like my avatar!

Instead of random noise, like you would expect if the prime numbers were randomly distributed, you get all these lines and patterns cropping up! I think this means that there is some correlation between the prime numbers and the perfect squares, which are much nicer numbers than the primes if I do say so myself. I will have a lot to say about perfect squares later on.

Ulam spiral with 40,000 numbers:

Image

Random noise:

Image

The fantastic thing is that you don’t have to start at 1 to get an interesting pattern. You can start at 0 or 41 or 100 or any other number you like!


:!:
DeathRowKitty
(L-4): lalaladucks, BlueBloodedToffee, All Alone
BlueBloodedToffee
(L-6): Antihero
SithLord84
(L-6): MTD

Not Voting
(8):
All Alone, Antihero
, Bellaphant,
BlueBloodedToffee
, DeasVail, DeathRowKitty, Espeonage, JarJarDrinks,
lalaladucks, MTD
, pirate mollie, SithLord84, Wanderer-nl

With 13 alive, it takes 7 to lynch.

Deadline: 279th (32*31) day of the year or in (expired on 2015-10-06 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: <3
Last edited by Plotinus on Wed Sep 23, 2015 3:24 am, edited 2 times in total.
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Post Post #51 (isolation #5) » Mon Sep 21, 2015 8:46 pm

Post by Plotinus »

Official Vote Count 1.02 prime numbers in mafia terms
I know, my stance on prime numbers is really fencesitty and if you want to flip me for information on prime numbers' alignment I would support that.

I think the reason I'm so uneasy about the primes is because of associative tells with the odd numbers, who are naturally unbalanced and unwilling to work together with the rest of the town, and because if there is a prime number of things to be given out, unless there is the same number of recipients, then someone will get more and someone will get less because they won't overlap.

And the chaos of the prime numbers makes them hard to read and that makes me wary of them but now and then out of the chaos they form a cohesive and beautiful pattern like the Ulam Spiral and it makes me wonder if maybe they're just mislynch bait.


:!:
DeathRowKitty
(L-4): lalaladucks, BlueBloodedToffee, All Alone
SithLord84
(L-6): MTD
pirate mollie
(L-6): Antihero
BlueBloodedToffee
(L-6):
Antihero
, Espeonage

Not Voting
(7): Bellaphant, DeasVail, DeathRowKitty,
Espeonage
, JarJarDrinks, pirate mollie, SithLord84, Wanderer-nl

With 13 alive, it takes 7 to lynch.

Deadline: 279th (32*31) day of the year or in (expired on 2015-10-06 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: <3
Last edited by Plotinus on Wed Sep 23, 2015 3:25 am, edited 2 times in total.
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Post Post #76 (isolation #6) » Mon Sep 21, 2015 9:05 pm

Post by Plotinus »

Official Vote Count 1.03 more about ulam spirals

Here’s a video about Ulam Spirals! It shows you how to make your own! I made a crochet one once. :) It also talks some about Ulam who made the first Ulam Spiral in 1963.

It talks some about Sack’s Spirals too which are also really impressive and exciting!


:!:
DeathRowKitty
(L-4): lalaladucks, BlueBloodedToffee, All Alone
pirate mollie
(L-6): Antihero
BlueBloodedToffee
(L-6): Espeonage
Espeonage
(L-6): MTD
Antihero
(L-6): DeathRowKitty
SithLord84 (L-7): MTD


Not Voting
(6): Bellaphant, DeasVail,
DeathRowKitty
, JarJarDrinks, pirate mollie, SithLord84, Wanderer-nl

With 13 alive, it takes 7 to lynch.

Deadline: 279th (32*31) day of the year or in (expired on 2015-10-06 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: <3
Last edited by Plotinus on Wed Sep 23, 2015 3:26 am, edited 2 times in total.
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Post Post #100 (isolation #7) » Tue Sep 22, 2015 1:31 am

Post by Plotinus »

Official Vote Count 1.04 ulam spirals and the number 41

This is a video about the number 41 and Ulam’s spirals! What happens if you make an Ulam Spiral starting with 41 instead of starting with 1? Watch the vid to find out it is super exciting!



:!:
BlueBloodedToffee
(L-4): Espeonage, lalaladucks, All Alone
pirate mollie
(L-6): Antihero
Espeonage
(L-6):
MTD
, BlueBloodedToffee
Antihero
(L-6): DeathRowKitty
DeathRowKitty (L-7): lalaladucks, BlueBloodedToffee, All Alone


Not Voting
(7): Bellaphant, DeasVail, JarJarDrinks, pirate mollie, SithLord84, Wanderer-nl, MTD

With 13 alive, it takes 7 to lynch.

Deadline: 279th (32*31) day of the year or in (expired on 2015-10-06 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: PAGE TOP!
Last edited by Plotinus on Wed Sep 23, 2015 3:27 am, edited 2 times in total.
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Post Post #125 (isolation #8) » Tue Sep 22, 2015 4:47 am

Post by Plotinus »

Official Vote Count 1.05 Perfect Squares
o
o
o
o
o
o
o
o
o
o
o
o
o
o
o
o
o
o
o
o
o
o
o
o
o
But I want to talk about something that’s closer to my heart than the prime numbers and that’s the perfect squares. Perfect squares are numbers that if you line up some beans in a square shape you will have that many beans.

To square a number x you could work out x2 but that’s not particularly exciting and doesn’t tell you anything you didn’t already know. Is there a better way? YES!

x2 = (x+c)(x-c) + c2.

We can see that this is the case if we multiply it through, getting:

x2 = x2 + xc -xc - c2 + c2.

This is very obviously true for each and every c because +xc -xc = 0 and + c2 - c2 = 0 and you can add zero however many times you want to a number if it will make your life easier and you will still have the same number.

In our case, c is any number that makes the arithmetic easier because we’re doing this in our heads.

So for example, to take an easy number like 972 you could do it the way they taught you in school where you did 7*7 = 49 and 7*90 = 630 and 90*7= 630 again and 90*90 = 8100 and then you could add those up but that’s a lot of numbers to keep track of in your head and you might make a mistake.

Instead, pick 3 to be our c and we have:

972 = (97+3)(97-3) + 32

972 = 100*94 + 32

972 = 9400 + 9

972 = 9409

And this will work for any number that you like. Some are a little harder to do in your head than others but if anyone wants to suggest a number I’ll walk you through it in one of the vote counts. Don’t limit yourselves to 2 digits numbers!



:!:
BlueBloodedToffee
(L-4): Espeonage, lalaladucks, All Alone
pirate mollie
(L-6): Antihero
Espeonage
(L-6): BlueBloodedToffee
Antihero
(L-6): DeathRowKitty
lalaladucks
(L-6): JarJarDrinks

Not Voting
(6): Bellaphant, DeasVail,
JarJarDrinks
, pirate mollie, SithLord84, Wanderer-nl, MTD

With 13 alive, it takes 7 to lynch.

Deadline: 279th (32*31) day of the year or in (expired on 2015-10-06 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: I have divisibility by 7 somewhere in the flavour queue, I can add some others factorisation stuff too if you want?
Last edited by Plotinus on Wed Sep 23, 2015 3:28 am, edited 2 times in total.
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Post Post #183 (isolation #9) » Tue Sep 22, 2015 6:24 pm

Post by Plotinus »

Official Vote Count 1.06 divisibility by 7
Divisibility by 7. To test for divisibility by 7 it is good to have a few numbers that are divisible by 7 memorised.

The easiest ones are: 101101, 10101, 1001, 98.

I have generated a random number for us, 592286.

First, we’ll subtract 505505, leaving us with 86781. This is the same as subtracting 101101 5 times.

Then we’ll subtract 10101, leaving us with 76680.

Then we divide by 10 leaving us with 7668.

Then we subtract 7007 leaving us with 661 (this is the same as subtracting 1001 7 times).

And then we subtract 600 and add 12 (this is the same as subtracting 98 six times) leaving us with 73.

73 is not divisible by 7, so 592286 isn’t either! If you were 592286 hours old then you would be just over 67 and a half years old!



:!:
BlueBloodedToffee
(L-4): Espeonage, lalaladucks, All Alone
:!:
Espeonage
(L-4): BlueBloodedToffee, MTD, Bellaphant
lalaladucks
(L-5): JarJarDrinks, DeasVail
pirate mollie
(L-6): Antihero
Antihero
(L-7): DeathRowKitty


Not Voting
(4):
Bellaphant, DeasVail, pirate mollie
, SithLord84, Wanderer-nl,
MTD
, DeathRowKitty, pirate mollie

With 13 alive, it takes 7 to lynch.

Deadline: 279th (32*31) day of the year or in (expired on 2015-10-06 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: I am awakes!
Last edited by Plotinus on Wed Sep 23, 2015 3:29 am, edited 1 time in total.
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Post Post #201 (isolation #10) » Wed Sep 23, 2015 2:07 am

Post by Plotinus »

Official Vote Count 1.07 Factorisation
I generated a random number: 2995633

2995633 is not even so not divisible by 2

2995633 digits do not add up to anything divisible by 3

2995633 does not end in 5 or 0, not divisible by 5

2995633 - 2022020 = 973613 - 303303 = 670310/10 = 67031-10101 = 56930/10=5693-3003=2690/10=269-200+4=73-70=3 not divisible by 7

295633 sum the odd digits and sum the evens: 2+5+3=10, 9+6+3=18. 18-10=8 which is not divisible by 11 and is not 0. not divisible by 11.

295633-13 = 295620/10 = 29562-52 = 29510/10 = 2951+39 = 2990/10 = 299-39 = 260 is divisible by 13 hurray! now let’s actually divide it by 13 and see what happens. Don’t know how to explain how to divide it in your head sorry, you just do and you get: 22741

does 13 divide it again?

22741 + 39 = 22780/10 = 2278+52=2330/10=233-13=220 is not divisible by 13.

22741 - 51 = 22690/10 = 2269 + 51 = 2320/10 = 232+68= 300 is not divisible by 17

22741 + 19 = 22760/10 = 2276 which is obviously not divisible by 19 because 76 is 19*4 and 2200 is not divisible by 19.

22741 + 69 = 22810/10 = 2281 + 69 = 2350/10 = 235*2=470 is not divisible by 23.

22741 + 29 = 22770/10 = 2277 - 87= 2190/10 = 219 is not divisible by 29.

22741 - 31 = 22710/10 = 2271-31 = 2240/10 = 224 is clearly not divisible by 31.

I hope 22741 isn’t prime or we’ll be at this for a while.

okay yeah it is prime i looked it up. but basically if I hadn’t started to worry I was boring you guys i would have kept going testing larger and larger primes in this fashion until I got to the square root of 22741, after which it’s pointless to test farther. For fun, the square root of 22741 is around 151 so we’d have been at this for a really long time.

Anyway did I explain it okay? Are you able to follow along with what I’m trying to do? basically i just add or subtract a multiple of the prime number i’m testing for to make the thing end in 0 and then I divide by 10 and keep going until it’s small enough that I just know whether it’s divisible or not, and if it ends in 5 then I multiply by 2 and then divide by 10.



:!:
BlueBloodedToffee
(L-4): Espeonage, lalaladucks, All Alone
:!:
Espeonage
(L-4): BlueBloodedToffee, MTD, Bellaphant
lalaladucks
(L-5): JarJarDrinks, DeasVail
pirate mollie
(L-6): Antihero

Not Voting
(4): SithLord84, Wanderer-nl, DeathRowKitty, pirate mollie

With 13 alive, it takes 7 to lynch.

Deadline: 279th (32*31) day of the year or in (expired on 2015-10-06 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: This vote count is unchanged from the previous one but I wanted to have one on every page while I’m awake.
Last edited by Plotinus on Wed Sep 23, 2015 3:30 am, edited 1 time in total.
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Post Post #229 (isolation #11) » Wed Sep 23, 2015 5:24 am

Post by Plotinus »

Official Vote Count 1.08 Factorials
Factorials are really fun because of how they’re used in combinatorics! Factorials are when you take a number, say 5, and multiply it by all the numbers between 1 and it, so 1*2*3*4*5=5!=120. It gets big quickly!

The first few factorials are: 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800.

Combinatorics is the most excitingest bestest part of maths.

There are 14 of us here including me. What is the chance that any two of us have the same birthday? (ignoring feb 29th and seasonal variation in human mating habits)

1-365*364*363*362*361*360*359*358*357*356*355*354*353*352/(36514) = 22.3%

Explained: There is a 365/365 chance that I have at least one birthday. There is a 364/365 chance that your birthday is not the same as mine, and a 363/365 chance that a third person’s birthday is different from both of ours. You multiply all the chances together and that’s the chance we have a different birthday. to find the chance at least two of us have the same birthday, you do 1 minus that. 22.3% is higher than most people would expect. It means that about 1 in 4, 1 in 5 minis you’ll have two people with the same birthday playing.

The break even point is around 23. If you have 23 people, it’s 50% that some two people share a birthday. So if you play in a couple larges, sooner or later you’ll find your twin!



:!:
BlueBloodedToffee
(L-4): Espeonage, lalaladucks, All Alone
Espeonage
(L-5):
BlueBloodedToffee
, MTD, Bellaphant
lalaladucks
(L-6):
JarJarDrinks
, DeasVail
pirate mollie
(L-6): Antihero
All Alone
(L-6): BlueBloodedToffee
DeathRowKitty
(L-6): JarJarDrinks

Not Voting
(4): SithLord84, Wanderer-nl, DeathRowKitty, pirate mollie

With 13 alive, it takes 7 to lynch.

Deadline: 279th (32*31) day of the year or in (expired on 2015-10-06 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: I have a more readable mod colour now.
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Post Post #250 (isolation #12) » Wed Sep 23, 2015 7:53 am

Post by Plotinus »

Official Vote Count 1.09 Infinite Trees

ViHart is really awesome you guys look at these infinite trees!


:!:
BlueBloodedToffee
(L-4): Espeonage, lalaladucks, All Alone
Espeonage
(L-5): MTD, Bellaphant
lalaladucks
(L-6): DeasVail
pirate mollie
(L-6): Antihero
All Alone
(L-6): BlueBloodedToffee
DeathRowKitty
(L-6): JarJarDrinks
Antihero
(L-6): pirate mollie

Not Voting
(3): SithLord84, Wanderer-nl, DeathRowKitty,
pirate mollie


With 13 alive, it takes 7 to lynch.

Deadline: 279th (32*31) day of the year or in (expired on 2015-10-06 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: <3
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Post Post #274 (isolation #13) » Wed Sep 23, 2015 10:01 am

Post by Plotinus »

8407 is a number I randomly generated just for you because I love you. It has no in game significance, but you know that its prime factors are 7 and 1201, and that if you were 8407 days old you would be just over 23 years old.
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Post Post #275 (isolation #14) » Wed Sep 23, 2015 10:01 am

Post by Plotinus »

Official Vote Count 1.0A Palindromic Numbers and 121
Palindromic numbers are numbers that are the same forwards as backwards. To test if a number i is a palindrome, you could use this python code:

Code: Select all

if str(i)[::-1] == str(i):
    print(str(i) + "is a palindrome."
else:
    print(str(i) + "is not a palindrome."


Palindromic primes are pretty to look at. Some palindromic primes are 101, 313, and 757.

121 is a Palindromic perfect square. One thing I really like about the number 121 is that in every base (except for base 2), 121 is a perfect square. In base 3, it represents the number 16. In base 4, it represents the number 25. In base 5, it represents the number 36, in base 246, it represents the number 2472 = 200*294 + 472 = 58800 + 2209 = 61009.

Can you see why this is the case?


:!:
BlueBloodedToffee
(L-4): Espeonage, lalaladucks, All Alone
Espeonage
(L-5): MTD, Bellaphant
lalaladucks
(L-6): DeasVail
pirate mollie
(L-6): Antihero
All Alone
(L-6): BlueBloodedToffee
DeathRowKitty
(L-6): JarJarDrinks
Antihero
(L-6): pirate mollie


Not Voting
(4): SithLord84, Wanderer-nl, DeathRowKitty, pirate mollie

With 13 alive, it takes 7 to lynch.

Deadline: 279th (32*31) day of the year or in (expired on 2015-10-06 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: <3
The failure mode of clever is asshole.

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Post Post #283 (isolation #15) » Wed Sep 23, 2015 8:02 pm

Post by Plotinus »

SithLord84 has been prodded. He has (expired on 2015-09-25 09:00:00) to post or he will be replaced.
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Post Post #300 (isolation #16) » Thu Sep 24, 2015 2:14 am

Post by Plotinus »

Official Vote Count 1.0B Squaring numbers close to 50
Sorry for skipping a step in the last vote count but 472 = 50*44 + 32 = 100*22 + 9 = 2209 is pretty trivial and I don’t usually work out the steps like that for numbers close to 50 because there’s a shortcut.

I just do 50-47=3 and 25-3=22 and 32 = 9 therefore 2209 and that looks
wrong
, it looks as
terribly horribly unmathematically wrong
as 4
9
/
9
8 = 4/8 and 1
9
/
9
5 = 1/5
are
wrong, like you’ve reached the right answer through incorrect means, but it is mathematically sound and it works for all numbers but using it outside the range 30-70 is kind of weird.)

Can you see why this is the case?


:!:
BlueBloodedToffee
(L-4): Espeonage, lalaladucks, All Alone
Espeonage
(L-5): MTD, Bellaphant
lalaladucks
(L-5): DeasVail, Wanderer-nl
pirate mollie
(L-6): Antihero
All Alone
(L-6): BlueBloodedToffee
DeathRowKitty
(L-6): JarJarDrinks

Not Voting
(3): SithLord84,
Wanderer-nl
, DeathRowKitty, pirate mollie

With 13 alive, it takes 7 to lynch.

Deadline: 279th (32*31) day of the year or in (expired on 2015-10-06 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: Bellaphant is V/LA until the 270th. SithLord84 has (expired on 2015-09-25 09:00:00) to post or he will be replaced.
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Post Post #325 (isolation #17) » Thu Sep 24, 2015 3:16 am

Post by Plotinus »

Official Vote Count 1.0C (unchanged) The Major System
This isn’t really about maths but it’s about numbers and taking a detour to teach you the Major System is worthwhile because it’s really really cool and useful fun, and it can help with maths too. You too can pretend to have a photographic memory with the help of mnemonics!

It is best to do this in your native language, but English is the lingua franca here, so we’ll do it in English and you can translate the concept into your native languages in your own time, except I’ve already done German so I can post that too.


  • 0 : s, z, c (like city)
  • 1 : t, d, th
  • 2 : n
  • 3 : m
  • 4 : r
  • 5 : l
  • 6 : ch, sh, j, g (like gem)
  • 7 : k, g (like game), c (like cake)
  • 8 : f, v, ph (like pharmacy)
  • 9 : b, p
  • free : a, e, h, i, o, u, w, y


Spoiler: German
  • 0 : s, z, ß, c (weich)
  • 1 : t, d, th
  • 2 : n
  • 3 : m
  • 4 : r
  • 5 : l
  • 6 : ch, g (weich), j (wie Dschungel), sch, dsch
  • 7 : k, ck, g (hart) c (hart)
  • 8 : f, v, w, ph
  • 9 : b, p
  • frei : a, ä, e, ë, h, i, ï, j, o, ö, u, ü, y


This is based on sounds, not on spelling, so night would be 21 not 261 because the g is not pronounced. xerox would be 0470.

The idea is that once you memorise the system, you can memorise long strings of numbers by converting chunks of 3-4 numbers into words and then making a funny, memorable story to go with the words. For example you could remember the first 16 digits of pi with “my turtle banjo lime love book palm” 3.141692653589793.

You can make up words on the fly with this system and that’s good practice, but ultimately what you want to do is decide on a set of words that will always mean certain numbers, for example 1 is always tea and never anything else and so if you want to remember the first thing on your list you ask yourself if you have any funny stories about tea. If 1 is sometimes tea and sometimes tie then you might make a funny story about tea and but then you go looking for a story about a tie and you don’t find anything.

It can be fun to try to count this way, trying to use the same words each time:
sea, tea, Noah, ma, ray, law, jaw, key, foe, paw,
daze, dad, den, dam, dare, dale, dash, deck, dive, dab,
NASA, net, nun, name, near, nail, nudge, neck, navy, nab,
mouse, mat, man, mama, mare, mail, mash, mac, mafia, map,
race, rat, ran, ram, rare, rail, rash, reck, reef, rap,
lace, lad, lane, lamb, lair, lily, lash, lake, love, lab,
chase, chat, chain, chime, chair, chill, cha-cha, check, chav, chap,
case, cat, can, cam, car, call, cash, cake, calf, cap
face, fat, fan, femme, fear, fail, fish, fake, fife, fab
base, bat, ban, bomb, boar, ball, bash, back, buff, baby
daisies…

Then if you have to remember a shopping list to buy potatoes, onions, mustard, marjoram, garlic, paprika, chill powder, salt, oil, you could tell yourself a story “The
potatoes
came alive and were swimming in
sea
and I steeped some
onion
peels in hot water to make a
tea
and
Noah
fed the animal some sweet Bavarian
mustard
and
ma
is growing
marjoram
in her garden, a
ray
of light shining on a single clove of
garlic
revealing the garlic to be the One True Seasoning that must be put into all the dishes and so the redheaded child smeared some
paprika
on his
jaw
to make it look like he was old enough to grow a beard and put
chili powder
on the
key
so that it would burn the fingers of whoever touched it and throwing
salt
in the eyes of your
foe
s to get them to leave you alone and putting fish
oil
on the constipated cat’s
paw
so it will lick it up.”

If you visualise it to yourself and try to make it as funny as possible you’ll be able to remember most of it, and then when you're at the shops you just run through the list like sea tea noah ma ray law jaw key foe paw and you’ll have it. But do it in your own language, it’s better.


:!:
BlueBloodedToffee
(L-4): Espeonage, lalaladucks, All Alone
Espeonage
(L-5): MTD, Bellaphant
lalaladucks
(L-5): DeasVail, Wanderer-nl
pirate mollie
(L-6): Antihero
All Alone
(L-6): BlueBloodedToffee
DeathRowKitty
(L-6): JarJarDrinks

Not Voting
(3): SithLord84, DeathRowKitty, pirate mollie

With 13 alive, it takes 7 to lynch.

Deadline: 279th (32*31) day of the year or in (expired on 2015-10-06 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: Bellaphant is V/LA until the 270th. SithLord84 has (expired on 2015-09-25 09:00:00) to post or he will be replaced.
Last edited by Plotinus on Thu Sep 24, 2015 4:21 am, edited 4 times in total.
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Post Post #350 (isolation #18) » Thu Sep 24, 2015 7:09 am

Post by Plotinus »

Official Vote Count 1.0D (Unchanged) Cube Roots
Perfect cubes are interesting, but finding cube roots is easier and looks more impressive. First, you should memorise the perfect cubes from 13 to 103:


  • 13 = 1 - tea
  • 23 = 8 - foe
  • 33 = 27 - neck
  • 43 = 64 - chair
  • 53 = 125 - tunnel
  • 63 = 216 - nightwatch
  • 73 = 343 marm
  • 83 = 512 Latin
  • 93 = 729 canopy
  • 103 = 1000 these zoos


Code: Select all

>>> import random
>>> random.randint(11,99)**3

32768


32768 ends in 8 so we know the cube root of 32768 ends in 2, because 23=8. Take away the last 3 digits of 32768, leaving us with 32. What is the largest number than when you cube it, it is less than or equal to 32? 3. Therefore the cube root of 32768 is 32.

Let’s do another! 226981. Ends in 1, so the cube root ends in 1 also. Take away the last 3 digits and you get 226. 63 is 216 and 73 is 343 which is too big so the answer is 61.

Who can work out the cube root of 91125?



:!:
BlueBloodedToffee
(L-4): Espeonage, lalaladucks, All Alone
Espeonage
(L-5): MTD, Bellaphant
lalaladucks
(L-5): DeasVail, Wanderer-nl
pirate mollie
(L-6): Antihero
All Alone
(L-6): BlueBloodedToffee
DeathRowKitty
(L-6): JarJarDrinks

Not Voting
(3): SithLord84, DeathRowKitty, pirate mollie

With 13 alive, it takes 7 to lynch.

Deadline: 279th (32*31) day of the year or in (expired on 2015-10-06 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: Bellaphant is V/LA until the 270th. SithLord84 has (expired on 2015-09-25 09:00:00) to post or he will be replaced.
Last edited by Plotinus on Mon Oct 05, 2015 9:34 pm, edited 3 times in total.
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Post Post #388 (isolation #19) » Thu Sep 24, 2015 6:30 pm

Post by Plotinus »

Official Vote Count 1.0E Triangular Numbers
o
o
o
o
o
o
o
o
o
o
o
o
o
o
o
Triangular numbers are the numbers that you get if you line up some beans in the shape of an equilateral triangle. 0, 0+1, 0+1+2, 0+1+2+3, 0+1+2+3+4, etc. You can generate a list of the first n triangular numbers in python like so:

Code: Select all


triangles = [0]

for i in range(1,n):

     triangles.append(triangles[-1] + len(triangles))




The sum of two consecutive triangular numbers are perfect squares. You can see why with this picture:

Image

Every positive number is the sum of at most 3 triangular numbers. It can be a fun game to work out which triangular numbers each number is the sum of.

When I buy tins of tomato paste, I buy a triangular number such as ten at a time and I stack them in 4+3+2+1 because that’s the easiest way to see at a glance that there are ten of them but the cashier always counts them anyway, but someday I will find a kindred spirit cashier who can glance at them and know how many there are.



:!:
pirate mollie
(L-4): Antihero, lalaladucks, DeasVail
BlueBloodedToffee
(L-5): Espeonage,
lalaladucks
, All Alone
Espeonage
(L-5): MTD, Bellaphant
All Alone
(L-5): BlueBloodedToffee, DeathRowKitty
lalaladucks
(L-6):
DeasVail
, Wanderer-nl
DeathRowKitty
(L-6): JarJarDrinks

Not Voting
(2): SithLord84,
DeathRowKitty
, pirate mollie

With 13 alive, it takes 7 to lynch.

Deadline: 279th (32*31) day of the year or in (expired on 2015-10-06 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: Bellaphant is V/LA until the 270th. SithLord84 has (expired on 2015-09-25 09:00:00) to post or he will be replaced.
Last edited by Plotinus on Fri Sep 25, 2015 3:32 am, edited 3 times in total.
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Post Post #398 (isolation #20) » Fri Sep 25, 2015 12:47 am

Post by Plotinus »

Fro99er replaces SithLord84! Please
ribbit at
welcome him.
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Post Post #400 (isolation #21) » Fri Sep 25, 2015 12:50 am

Post by Plotinus »

Official Vote Count 1.0F (Unchanged) Star Numbers
But even cooler than the triangular numbers are the star numbers!


Star numbers are centered figurate numbers that represent a centered six-pointed star. The pattern is 6×n×(n-1) + 1.



Image



There are infinitely many star numbers that are triangular numbers too, and infinitely many star numbers that are square numbers too. Some star numbers are prime.

35113 is a star number and its prime factors are 13, 37, and 73, and those are consecutive star numbers!

If you sum the digits of a number iteratively until you get a single digit number and you don’t get a 1 or a 4 then it’s not a star number. If you do get a 1 or a 4 it might be a star number but it might not be.



:!:
pirate mollie
(L-4): Antihero, lalaladucks, DeasVail
BlueBloodedToffee
(L-5): Espeonage, All Alone
Espeonage
(L-5): MTD, Bellaphant
All Alone
(L-5): BlueBloodedToffee, DeathRowKitty
lalaladucks
(L-6): Wanderer-nl
DeathRowKitty
(L-6): JarJarDrinks

Not Voting
(2): Fro99er, pirate mollie

With 13 alive, it takes 7 to lynch.

Deadline: 279th (32*31) day of the year or in (expired on 2015-10-06 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: Bellaphant is V/LA until the 270th. In case you missed it, Fro99er is the new SithLord84!
Last edited by Plotinus on Fri Sep 25, 2015 3:32 am, edited 1 time in total.
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Post Post #426 (isolation #22) » Fri Sep 25, 2015 3:20 am

Post by Plotinus »

Official Vote Count 1.10 Tetrahedral Numbers
Tetrahedral numbers are figurate numbers that represent a pyramid with a triangular base and three sides, called a tetrahedron.

Tetrahedral numbers are superior to triangular numbers if you are stacking tins in your pantry because you can make a three dimensional pyramid instead of a triangle.


:!:
pirate mollie
(L-2): Antihero, lalaladucks, DeasVail, Fro99er, Wanderer-nl
BlueBloodedToffee
(L-5): Espeonage, All Alone
Espeonage
(L-5): MTD, Bellaphant
All Alone
(L-5): BlueBloodedToffee, DeathRowKitty
DeathRowKitty
(L-6): JarJarDrinks
lalaladucks
(L-7):Wanderer-nl


Not Voting
(1):
Fro99er
, pirate mollie

With 13 alive, it takes 7 to lynch.

Deadline: 279th (32*31) day of the year or in (expired on 2015-10-06 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: Bellaphant is V/LA until the 270th.
Last edited by Plotinus on Fri Sep 25, 2015 3:31 am, edited 1 time in total.
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Post Post #460 (isolation #23) » Fri Sep 25, 2015 6:13 am

Post by Plotinus »

Official Vote Count 1.11 (unchanged) Powerful Numbers
Powerful numbers are numbers where all of their prime factors are perfect powers for example (33)(22) = 108 is a powerful number, and so is 256 = 28, but 567 is not a powerful number because it is 7(34).


I really like powerful numbers, especially ones in the form xyyx.



Some powerful numbers come in pairs of consecutive numbers, like 23=8 and 32=9. There are infinitely many integer solutions to Pell’s equation x2 8y2 = 1, so there are infinitely many pairs of consecutive numbers like this. The Erdős–Mollin–Walsh conjecture states that you can’t have 3 in a row, though.



:!:
pirate mollie
(L-2): Antihero, lalaladucks, DeasVail, Fro99er, Wanderer-nl
BlueBloodedToffee
(L-5): Espeonage, All Alone
Espeonage
(L-5): MTD, Bellaphant
All Alone
(L-5): BlueBloodedToffee, DeathRowKitty
DeathRowKitty
(L-6): JarJarDrinks

Not Voting
(1): pirate mollie

With 13 alive, it takes 7 to lynch.

Deadline: 279th (32*31) day of the year or in (expired on 2015-10-06 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: Bellaphant is V/LA until the 270th.
The failure mode of clever is asshole.

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Post Post #478 (isolation #24) » Fri Sep 25, 2015 6:21 am

Post by Plotinus »

Official Vote Count 1.12 (Unchanged) Erdős Pál
I want to take a break to talk about my favourite mathematician, Erdős Pál.
You can see him telling a joke here:



He was into number theory and set theory and graphs and combinatorics and he wrote SO MANY papers and I really feel he was one of the most important mathematicians of the 20th century.

He was great not just with mathematics but also with people. He could remember what everybody’s interests were and could keep track of all the other mathematicians and what they liked and what they were good at and could send anybody the exact sort of mathematical problem or conjecture that they might be able to solve and would enjoy solving.

He didn’t have a home or very many possessions, he spent most of his life couch surfing with fellow mathematicians but everyone was happy to see him because he was really good at mathematics.



:!:
pirate mollie
(L-2): Antihero, lalaladucks, DeasVail, Fro99er, Wanderer-nl
BlueBloodedToffee
(L-5): Espeonage, All Alone
Espeonage
(L-5): MTD, Bellaphant
All Alone
(L-5): BlueBloodedToffee, DeathRowKitty
DeathRowKitty
(L-6): JarJarDrinks

Not Voting
(1): pirate mollie

With 13 alive, it takes 7 to lynch.

Deadline: 279th (32*31) day of the year or in (expired on 2015-10-06 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: Bellaphant is V/LA until the 270th.
The failure mode of clever is asshole.

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Post Post #511 (isolation #25) » Fri Sep 25, 2015 8:34 am

Post by Plotinus »

Official Vote Count 1.13 Mersenne Primes and the Mersenne Twister
Let’s veer back towards prime numbers because I want to talk about Mersenne primes. The largest known Mersenne prime is 257885161 -1. Actually, all ten of the largest known prime numbers are Mersenne primes which is really weird when you think of it because they’re rare and it’s a slow algorithm to find them but I guess some people just care more about Mersenne Primes than about other primes.

Mersenne primes come in the pattern 2n-1. If n is composite then 2n-1 is also composite so only prime n need to be checked.

Here is a list of Mersenne primes:

22 - 1, 23 - 1, 25 - 1 , 27 - 1, 213 - 1, 217 - 1, 219 - 1, 231 - 1, 261 - 1, 289 - 1, 2107 - 1, 2127 - 1, 2521 - 1, 2607 - 1, 21279 - 1, 22203 - 1, 22281 - 1, 23217 - 1, 24253 - 1, 24423 - 1, 29689 - 1, 29941 - 1, 211213 - 1, 219937 - 1, 221701 - 1, 223209 - 1, 244497 - 1, 286243 - 1, 2110503 - 1, 2132049 - 1, 2216091 - 1, 2756839 - 1, 2859433 - 1, 21257787 - 1, 21398269 - 1, 22976221 - 1, 23021377 - 1, 26972593 - 1, 213466917 - 1, 220996011 - 1, 224036583 - 1, 225964951 - 1, 230402457 - 1, 232582657 - 1, 237156667 - 1, 242643801 - 1, 243112609 - 1, 257885161 - 1.

Those are all the ones we know about.

I mostly care about Mersenne because of the Mersenne Twister, a commonly used pseudorandom number generator. It’s not cryptographically secure because you only need to run it a few times (624 times in the case of MT19937) before you can predict all the future output of the function, but it’s good enough if you’re making a game. The wikipedia article provides sample code in both pseudocode and Python.



:!:
pirate mollie
(L-3):
Antihero
, lalaladucks, DeasVail, Fro99er, Wanderer-nl
BlueBloodedToffee
(L-5): Espeonage, All Alone
Espeonage
(L-5): MTD, Bellaphant
All Alone
(L-5): BlueBloodedToffee, DeathRowKitty
Antihero
(L-6): JarJarDrinks
JarJarDrinks
(L-6): Antihero
DeathRowKitty
(L-6): JarJarDrinks


Not Voting
(1): pirate mollie

With 13 alive, it takes 7 to lynch.

Deadline: 279th (32*31) day of the year or in (expired on 2015-10-06 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: Bellaphant is V/LA until the 270th.
Last edited by Plotinus on Fri Sep 25, 2015 10:46 am, edited 1 time in total.
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Post Post #525 (isolation #26) » Fri Sep 25, 2015 10:45 am

Post by Plotinus »

Official Vote Count 1.14 Fold and Cut Theorem
Here is a youtube video about the Fold and Cut theorem.



Any shape whose edges are all straight lines can be made with a single cut if you fold the paper right.



:!:
pirate mollie
(L-4): lalaladucks, DeasVail,
Fro99er
, Wanderer-nl
BlueBloodedToffee
(L-5): Espeonage, All Alone
Espeonage
(L-5): MTD, Bellaphant
All Alone
(L-5): BlueBloodedToffee, DeathRowKitty
Antihero
(L-6): JarJarDrinks
JarJarDrinks
(L-6): Antihero

Not Voting
(2): pirate mollie, Fro99er

With 13 alive, it takes 7 to lynch.

Deadline: 279th (32*31) day of the year or in (expired on 2015-10-06 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: Bellaphant is V/LA until the 270th.
The failure mode of clever is asshole.

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Post Post #574 (isolation #27) » Fri Sep 25, 2015 8:54 pm

Post by Plotinus »

9249 is a number I randomly generated just for you because I love you. It has no in game significance, but you know that its prime factors are 3 and 3083, and that if you were 9249 days old you would be just over 25 and a third years old.
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Post Post #575 (isolation #28) » Fri Sep 25, 2015 8:55 pm

Post by Plotinus »

Official Vote Count 1.15 Calculating Fifth Roots



So, I took some notes during the video about how he worked it out:

79 235 1681/5 = 38

Euler’s theorem. For any number a, a5 = m*10 + a

475 = 22 934 496 * 10 + 47 = 229344960 + 47

so we know the last digit of the number already, it’s the same.

The first digit you have to memorise the powers of 105:

105 =
1
00,000 - tea
205 = 3,
2
00,000 - man
305 = 24,
3
00,000 - unarm
405 = 102,
4
00,000 - designer
505 = 312,
5
00,000 - mathanol (this is not a word but you can imagine a substance like ethanol but made of mathematics)
605 = 777,
6
00,000 cake catch (a new sport where you throw cakes at people and have to catch them without getting icing all over you)
705 = 1,680,
7
00,000 deja vu sack
805 = 3,276,
8
00,000 mink chive
905 = 5,904,
9
00,000 lip syrup

I filled in the mnemonics for making a story for memorising it.

Let's work through one though real quick because I just woke up and I'm out of prewritten flavour already.

random.randint(10,99)**5
5904900000

902

well that was boring. let's do another.

random.randint(10,99)**5
2,219,006,624

okay so he made a big deal about the digit in the hundred thousands place being the number, but if you stop and you think, which I didn't because I've only just woken up, you'll realise that only holds true for that exact number, and that if you take 655 it won't neccessarily be a 6 in the hundred thousands place anymore, just if it's 602 but anyway, the first number is 7 because 2 milliard is between 705 and 805 and then the last digit is 4 so 74.


:!:
pirate mollie
(L-3): lalaladucks, DeasVail,
Wanderer-nl
, Antihero, All Alone
Espeonage
(L-5): MTD, Bellaphant
All Alone
(L-5): BlueBloodedToffee, DeathRowKitty
BlueBloodedToffee
(L-6): Espeonage,
All Alone

Antihero
(L-6): JarJarDrinks
JarJarDrinks
(L-7): Antihero, Wanderer-nl


Not Voting
(3): pirate mollie, Fro99er, Wanderer-nl

With 13 alive, it takes 7 to lynch.

Deadline: 279th (32*31) day of the year or in (expired on 2015-10-06 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: Bellaphant is V/LA until the 270th.
The failure mode of clever is asshole.

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Post Post #599 (isolation #29) » Sat Sep 26, 2015 2:57 am

Post by Plotinus »

6979 is a number I randomly generated just for you because I love you. It has no in game significance, but you know that its prime factors are 7 and 997, and that if you were 6979 days old you would be just over 19 years old.
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Post Post #600 (isolation #30) » Sat Sep 26, 2015 2:57 am

Post by Plotinus »

Official Vote Count 1.16 Poincaré Conjecture
The Poincaré Conjecture was solved recently by Grigori Perelman in 2003, but he declined the million dollar prize for it.



If you have an object that doesn’t have any holes in it, and it’s small (doesn’t go on forever), then it can be made into a sphere, and this is true in any number of dimensions.


:!:
pirate mollie
(L-1): lalaladucks, DeasVail, Antihero, All Alone, BlueBloodedToffee, Fro99er
Espeonage
(L-5): MTD, Bellaphant
All Alone
(L-6):
BlueBloodedToffee
, DeathRowKitty
BlueBloodedToffee
(L-6): Espeonage,
Antihero
(L-6): JarJarDrinks

Not Voting
(2): pirate mollie,
Fro99er
, Wanderer-nl

With 13 alive, it takes 7 to lynch.

Deadline: 279th (32*31) day of the year or in (expired on 2015-10-06 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: Today (Sat) is the 269th day of the year. It is prime. Bellaphant is V/LA until the 270th.
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Post Post #609 (isolation #31) » Sat Sep 26, 2015 3:21 am

Post by Plotinus »

Official Vote Count 1.17 Ricci Flow
Ricci flow is a maths game about drawing a squiggly shape and it goes into a circle and then shrinks!
But what happens if it’s a 3 dimensional squiggle? Usually it becomes a sphere but sometimes a little bit gets pinched.

When it gets pinched, it gets stuck. Is there a way to get unstuck? Yes.




:!:
pirate mollie
(L-0): lalaladucks, DeasVail, Antihero, All Alone, BlueBloodedToffee, Fro99er, Wanderer-nl
<— LYNCH

Espeonage
(L-5): MTD, Bellaphant
All Alone
(L-6): DeathRowKitty
BlueBloodedToffee
(L-6): Espeonage,
Antihero
(L-6): JarJarDrinks

Not Voting
(1): pirate mollie,
Wanderer-nl


With 13 alive, it takes 7 to lynch.

Deadline: 279th (32*31) day of the year or in (expired on 2015-10-06 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: Today (Sat) is the 269th day of the year. It is prime. Bellaphant is V/LA until the 270th.
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Post Post #612 (isolation #32) » Sat Sep 26, 2015 3:27 am

Post by Plotinus »

The Riemann Hypothesis is another of the Millennium problems (like the Poincaré Conjecture). It’s one of those problems that’s really obviously true but the proving it is the hard part.



This is the Riemann zeta function:

ζ(s) = 1/1s + 1/2s + 1/3s + 1/4s + ...

ζ(2) = 1/12 + 1/22 + 1/32 + 1/42 + … = π2/6

ζ(-1) = 1 + 2 + 3 + 4 + … = -1/12

What values of s do ζ(s) = 0? That’s the million dollar question.

ζ(-2) = 0

ζ(-4) = 0

ζ(-6) = 0

All the even negative numbers are zeroes. But those are trivial.

All non trivial zeroes are the complex numbers in the format 1/2 + yi. All the non trivial zeroes have a real part of 1/2. We already know that they’re between 0 and 1 but are they really all on the line 1/2?

Probably. You can also get a million dollars by finding a counterexample.




Pirate Mollie has been lynched. She was a Vanilla Townie.


Town Vanilla TownieHello, mollie

You are a
town Vanilla Townie
.

During the day, you may vote for players you think are scummy and may use your words to convince other players to vote with you. During the night, you may reread the game thread in search of scumslips you missed during the daytime.

Alignment/win condition
: You are a
town
aligned
vanilla townie
who can win with the
town
, which will occur when all
threats
to the
town
have been eliminated.

Good luck and have fun!

Confirm:
by PMing me your role and alignment

The game thread is here.



My policy is that twilight can last the rest of the page if I'm around, or longer if I'm not around, but I will shorten it if the flipped person requests it.

Night 1 starts now. Please have your night actions to me if you have them by (expired on 2015-09-29 09:00:00) (a little longer than usual because it's the weekend).
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Post Post #613 (isolation #33) » Mon Sep 28, 2015 8:06 pm

Post by Plotinus »

Good morning! Nobody died last night!


Official Vote Count 2.0 Maths Jokes


Maths jokes!


The nice belt joke reminds me of Ricci Flow!

But they didn’t do my favourite one which is What’s lavender and commutes? An Abelian semi-grape!



:!:
Everybody
(L-7): nobody

Not Voting
(12): All Alone, Antihero, Bellaphant, BlueBloodedToffee, DeasVail, DeathRowKitty, Espeonage, Fro99er, JarJarDrinks, lalaladucks, MTD, Wanderer-nl

With 12 alive, it takes 7 to lynch.

Deadline: 284th (22*71) day of the year or in (expired on 2015-10-13 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: Today (Tue) is the 272nd day of the year. 24*17. MTD is V/LA until further notice.
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Post Post #633 (isolation #34) » Tue Sep 29, 2015 3:06 am

Post by Plotinus »

Official Vote Count 2.01 Navier-Stokes existence and smoothness
I wanted to find you a nice video explaining the Navier-Stokes equations and I did find some 1 hour lectures with bad sound and some professor at a blackboard so instead here’s a video of coffee and milk swirling in a cup because the Navier-Stokes equations deal with fluid dynamics.


They are used to model weather, ocean currents, blood flow, and many other things.

They are also interesting in pure mathematics because even though there are a lot of practical uses to them, we don’t know if all 3 dimensional solutions exist yet, and if they do exist, we don’t know if they’re smooth or not. By smooth, we mean that there aren’t any singularities, like in the Ricci flow video that we watched where the it got pinched off at a point and then the curvature went to infinity.

This is one of the seven most important problems in mathematics, and you can win a million dollars if you can solve it. Good luck!

We already know that in 2 dimensions, there are globally defined solutions that are smooth. In 3 dimensions, we know that if the initial velocity is small enough, then they are true.

It is possible that there are solutions which are not smooth.



:!:
lalaladucks
(L-6): BlueBloodedToffee
:!:
Antihero
(L-6): JarJarDrinks
:!:
BlueBloodedToffee
(L-6) All Alone

Not Voting
(9):
All Alone
, Antihero, Bellaphant,
BlueBloodedToffee
, DeasVail, DeathRowKitty, Espeonage, Fro99er,
JarJarDrinks
, lalaladucks, MTD, Wanderer-nl

With 12 alive, it takes 7 to lynch.

Deadline: 284th (22*71) day of the year or in (expired on 2015-10-13 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: Today (Tue) is the 272nd day of the year. 24*17. MTD is V/LA until further notice. I think Bella’s V/LA too until Sunday, actually. I'll doublecheck later.
Last edited by Plotinus on Tue Sep 29, 2015 3:07 am, edited 1 time in total.
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Post Post #649 (isolation #35) » Tue Sep 29, 2015 3:34 am

Post by Plotinus »

4233 is a number I randomly generated just for because I love you. It has no in game significance, but you know that its prime factors are 3, 17, and 83, and that if you were 4233 days old you would be just over 11 and a half years old.
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Post Post #650 (isolation #36) » Tue Sep 29, 2015 3:34 am

Post by Plotinus »

Official Vote Count 2.02 The long system and the short system for counting (unchanged)


Millions, milliards, billions, billiards, trillions, trilliards! But in some countries they do it differently! In the English speaking world they do it differently, but the older system which was used in Britain until 1974 and the non english speaking world still uses it because it makes more sense!


:!:
lalaladucks
(L-6): BlueBloodedToffee
:!:
Antihero
(L-6): JarJarDrinks
:!:
BlueBloodedToffee
(L-6) All Alone

Not Voting
(9): Antihero, Bellaphant, DeasVail, DeathRowKitty, Espeonage, Fro99er, lalaladucks, MTD, Wanderer-nl

With 12 alive, it takes 7 to lynch.

Deadline: 284th (22*71) day of the year or in (expired on 2015-10-13 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: Today (Tue) is the 272nd day of the year. 24*17. MTD is V/LA until further notice. I think Bella’s V/LA too until Sunday.
The failure mode of clever is asshole.

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Post Post #675 (isolation #37) » Tue Sep 29, 2015 11:30 am

Post by Plotinus »

Official Vote Count 2.03 More maths jokes
More maths jokes! These are about bases!







:!:
BlueBloodedToffee
(L-5) All Alone, JarJarDrinks
lalaladucks
(L-6): BlueBloodedToffee
Antihero
(L-7): JarJarDrinks


Not Voting
(9): Antihero, Bellaphant, DeasVail, DeathRowKitty, Espeonage, Fro99er, lalaladucks, MTD, Wanderer-nl

With 12 alive, it takes 7 to lynch.

Deadline: 284th (22*71) day of the year or in (expired on 2015-10-13 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: Today (Tue) is the 272nd day of the year. 24*17. MTD is V/LA until further notice. Bellaphant is V/LA until Sunday.
Last edited by Plotinus on Tue Sep 29, 2015 11:31 am, edited 1 time in total.
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Post Post #700 (isolation #38) » Tue Sep 29, 2015 2:43 pm

Post by Plotinus »

Official Vote Count 2.04 Congruent number problem
This video is about the congruent number problem. It’s first in a series of 4 videos, which explain the Birch and Swinnerton-Dyer conjecture, another of the Millennium Prize problems, but this video by itself isn’t enough to understand the wikipedia page on the Birch and Swinnerton-Dyer conjecture, it’s just aiming us in that direction.



Congruent numbers are integers that are the area of a right triangle with 3 rational sides. So a right triangle with area 1 and side length 1, 2, sqrt(3) won’t work because sqrt(3) isn’t rational. But you could have a triangle with area 6 and sides 3, 4, and 5, or a triangle with area 1.5 and sides 1.5, 2, 2.5, or a triangle with area 5 and sides 20/3, 3/2, 41/6.




:!:
BlueBloodedToffee
(L-4) All Alone, JarJarDrinks, lalaladucks
lalaladucks
(L-6): BlueBloodedToffee

Not Voting
(8): Antihero, Bellaphant, DeasVail, DeathRowKitty, Espeonage, Fro99er,
lalaladucks
, MTD, Wanderer-nl

With 12 alive, it takes 7 to lynch.

Deadline: 284th (22*71) day of the year or in (expired on 2015-10-13 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Mod notes: Today is the 273rd day of the year. 3*7*13. It must be Wednesday because divisible by 7. MTD is V/LA until further notice. Bella’s V/LA until Sunday.
Last edited by Plotinus on Tue Sep 29, 2015 3:00 pm, edited 1 time in total.
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Post Post #725 (isolation #39) » Wed Sep 30, 2015 12:40 am

Post by Plotinus »

Official Vote Count 2.05 Finding pythagorean triples
Here’s the next part of the videos leading up to the Birch and Swinnerton-Dyer problem. It talks about how to find pythagorean triples, and about intersecting curves.



I feel like a lot of mathematics is just rules lawyering and saying what if some crazy thing were true and then just going with it instead of saying nah that’s crazy.

If you use complex numbers and you count intersections with multiplicity and work projectively then a curve of degree p and a curve of degree q intersect and p*q points. This is Bezout’s theorem.

So all lines intersect exactly once, even parallel lines if you count the point infinity. And all lines intersect a circle exactly twice, if you use multiplicity. And all lines intersect a parabola even if they’re not touching the parabola if you count complex numbers.

(And if you add up all the natural numbers (1 + 2 + 3 +4 + etc) you get -1/12 but that bit of rules lawyering doesn’t happen in this video.) :D



The next video is so short it doesn’t belong in its own vote count, and it has some good illustrations of the points made in the first video.




:!:
BlueBloodedToffee
(L-4) All Alone, JarJarDrinks, lalaladucks,
Fro99er

lalaladucks
(L-6): BlueBloodedToffee
Wanderer-nl
(L-6): Fro99er

Not Voting
(7): Antihero, Bellaphant, DeasVail, DeathRowKitty, Espeonage,
Fro99er
, MTD, Wanderer-nl

With 12 alive, it takes 7 to lynch.

Deadline: 284th (22*71) day of the year or in (expired on 2015-10-13 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written: empty :neutral:
Spoiler: Things I haven’t rambled about yet but i’m gonna
more about the Birch and Swinnerton-Dyer Conjecture, P vs NP, more figurate numbers, Hodge conjecture, Yang-Mills existence and mass gap, Fermat’s Last Theorem, Sierpinski Triangle, Hilbert Space Filling Curve, Mandelbrot Set, Burning Ship Fractal, Complex Analysis, Lattice Multiplication, that one video about turning a sphere inside out, miscellaneous numberphile and vihart videos, Achilles numbers, Non hypotenuse numbers, practical numbers, abundant numbers, ulam sequence, pronic numbers, lucky numbers, proth numbers, thabit numbers, hilbert numbers, leyland numbers, fibonacci numbers, jacobsthal numbers, pell numbers, pell-lucas numbers, leonardo numbers, perrin numbers, polite numbers, motzkin numbers, Erdős–Woods numbers, vampire numbers, Recursion and Mafia, maths jokes that I wrote myself and why they are funny, Abelian groups and semigroups, noncommutative operations, the 68-95-99.7 rule


Mod notes: Today is the 273rd day of the year. 3*7*13. It must be Wednesday because divisible by 7. MTD is V/LA until further notice. Bella’s V/LA until Sunday.
Last edited by Plotinus on Wed Sep 30, 2015 12:47 am, edited 2 times in total.
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Post Post #751 (isolation #40) » Wed Sep 30, 2015 1:45 am

Post by Plotinus »

Official Vote Count 2.06 Turning a Sphere inside out

This is a really exciting video that I’ve watched a zillion times because it’s so cool. It’s about how to turn a sphere inside out.


:!:
BlueBloodedToffee
(L-4) All Alone, JarJarDrinks, lalaladucks
Wanderer-nl
(L-5): Fro99er, Espeonage
lalaladucks
(L-6): BlueBloodedToffee

Not Voting
(6): Antihero, Bellaphant, DeasVail, DeathRowKitty,
Espeonage
, MTD, Wanderer-nl

With 12 alive, it takes 7 to lynch.

Deadline: 284th (22*71) day of the year or in (expired on 2015-10-13 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written: empty :neutral:
Spoiler: Things I haven’t rambled about yet but i’m gonna
more about the Birch and Swinnerton-Dyer Conjecture, P vs NP, more figurate numbers, Hodge conjecture, Yang-Mills existence and mass gap, Fermat’s Last Theorem, Sierpinski Triangle, Hilbert Space Filling Curve, Mandelbrot Set, Burning Ship Fractal, Complex Analysis, Lattice Multiplication, miscellaneous numberphile and vihart videos, Achilles numbers, Non hypotenuse numbers, practical numbers, abundant numbers, ulam sequence, pronic numbers, lucky numbers, proth numbers, thabit numbers, hilbert numbers, leyland numbers, fibonacci numbers, jacobsthal numbers, pell numbers, pell-lucas numbers, leonardo numbers, perrin numbers, polite numbers, motzkin numbers, Erdős–Woods numbers, vampire numbers, Recursion and Mafia, maths jokes that I wrote myself and why they are funny, Abelian groups and semigroups, noncommutative operations, the 68-95-99.7 rule


Mod notes: Today is the 273rd day of the year. 3*7*13. It must be Wednesday because divisible by 7. MTD is V/LA until further notice. Bella’s V/LA until Sunday.
Last edited by Plotinus on Wed Sep 30, 2015 1:47 am, edited 1 time in total.
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Post Post #776 (isolation #41) » Wed Sep 30, 2015 5:28 am

Post by Plotinus »

Official Vote Count 2.07 Achilles Numbers
Achilles numbers are numbers that are not perfect powers, but they’re still powerful.

As a reminder, the powerful numbers are the ones where when you take the prime factorisation, none of the numbers are only raised to the first power, like 28 = 22*71 is not powerful but 196 = 22*72 would be because everybody is squared or 392 = 23*72 is good too but 1960 = 23*72*51 is bad again.

Achilles numbers are powerful numbers that cannot be written as mk. So 196 isn’t an Achilles number because it’s 142 but 392 is because it’s not a perfect square and it’s not a perfect cube etc.

If you do the prime factorisation and all the prime factors are raised to the same power, then it’s not an Achilles number.

The first few Achilles number are: 72, 108, 200, 288, 392, 432, 500, 648, 675, 800, 864, 968, 972, 1125, 1152, 1323, 1352, 1372, 1568, 1800, 1944, 2000, 2312, 2592, 2700, 2888, 3087, 3200, 3267, 3456, 3528, 3872, 3888, 4000, 4232, 4500, 4563, 4608, 5000.

5425069447 and 5425069448 are consecutive Achilles numbers! The one is 73*412*972 and the other is 23*260412.


:!:
Wanderer-nl
(L-3):
Fro99er
, Espeonage, Fro99er, Antihero, JarJarDrinks
BlueBloodedToffee
(L-5) All Alone,
JarJarDrinks
, lalaladucks
lalaladucks
(L-6): BlueBloodedToffee

Not Voting
(5):
Antihero
, Bellaphant, DeasVail, DeathRowKitty, MTD, Wanderer-nl,
Fro99er


With 12 alive, it takes 7 to lynch.

Deadline: 284th (22*71) day of the year or in (expired on 2015-10-13 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written: empty :neutral:
Spoiler: Things I haven’t rambled about yet but i’m gonna
more about the Birch and Swinnerton-Dyer Conjecture, P vs NP, more figurate numbers, Hodge conjecture, Yang-Mills existence and mass gap, Fermat’s Last Theorem, Sierpinski Triangle, Hilbert Space Filling Curve, Mandelbrot Set, Burning Ship Fractal, Complex Analysis, Lattice Multiplication, miscellaneous numberphile and vihart videos, Non hypotenuse numbers, practical numbers, abundant numbers, ulam sequence, pronic numbers, lucky numbers, proth numbers, thabit numbers, hilbert numbers, leyland numbers, fibonacci numbers, jacobsthal numbers, pell numbers, pell-lucas numbers, leonardo numbers, perrin numbers, polite numbers, motzkin numbers, Erdős–Woods numbers, vampire numbers, Recursion and Mafia, maths jokes that I wrote myself and why they are funny, Abelian groups and semigroups, noncommutative operations, the 68-95-99.7 rule


Mod notes: Today is the 273rd day of the year. 3*7*13. It must be Wednesday because divisible by 7. MTD is V/LA until further notice. Bella’s V/LA until Sunday.
The failure mode of clever is asshole.

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Post Post #802 (isolation #42) » Wed Sep 30, 2015 6:37 pm

Post by Plotinus »

Official Vote Count 2.08 Nonhypotenuse Numbers
Nonhypotenuse numbers are numbers whose squares aren’t the sum of two nonzero squares. For example 5 is not a nonhypotenuse number because 32 + 42 = 52. There are lots of little nonhypotenuse numbers like 1, 2, 3, 4, 6, 7, 8, 9, but they are rare among larger numbers. Still there are an infinite number of them.




:!:
Wanderer-nl
(L-2): Espeonage, Fro99er, Antihero, JarJarDrinks, lalaladucks
BlueBloodedToffee
(L-6) All Alone,
lalaladucks

lalaladucks
(L-6): BlueBloodedToffee
All Alone
(L-6): Wanderer-nl

Not Voting
(4): Bellaphant, DeasVail, DeathRowKitty, MTD,
Wanderer-nl


With 12 alive, it takes 7 to lynch.

Deadline: 284th (22*71) day of the year or in (expired on 2015-10-13 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written: empty :neutral:
Spoiler: Things I haven’t rambled about yet but i’m gonna
more about the Birch and Swinnerton-Dyer Conjecture, P vs NP, more figurate numbers, Hodge conjecture, Yang-Mills existence and mass gap, Fermat’s Last Theorem, Sierpinski Triangle, Hilbert Space Filling Curve, Mandelbrot Set, Burning Ship Fractal, Complex Analysis, Lattice Multiplication, miscellaneous numberphile and vihart videos, practical numbers, abundant numbers, ulam sequence, pronic numbers, lucky numbers, proth numbers, thabit numbers, hilbert numbers, leyland numbers, fibonacci numbers, jacobsthal numbers, pell numbers, pell-lucas numbers, leonardo numbers, perrin numbers, polite numbers, motzkin numbers, Erdős–Woods numbers, vampire numbers, Recursion and Mafia, maths jokes that I wrote myself and why they are funny, Abelian groups and semigroups, noncommutative operations, the 68-95-99.7 rule, fro99er’s first theorem


Mod notes: Today is the 274rd day of the year. 2*137. Bella’s V/LA until Sunday.
The failure mode of clever is asshole.

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Post Post #825 (isolation #43) » Thu Oct 01, 2015 2:24 am

Post by Plotinus »

Official Vote Count 2.09 Sierpiński Triangles
o
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One of my favourite fractals is the Sierpiński triangle, and if ever I’m in a video game that lets you build things or drop things into piles or whatnot, I will inevitably start arranging objects in this pattern, spending hours building massive 64x64 Sierpiński triangles. It’s great fun.

There are so many different ways to approximate the Sierpiński triangle and they all work out the same! You can take a triangle and then mark the midpoints on each side and connect them into a triangle and remove that from the triangle, leaving three triangles stacked together and then remove the middle section of those three triangles and the middle sections of the 9 remaining triangles until you get tired of it.

You could make 3 long thin blue triangular prisms out of plasticine and 1 long thin white triangular prism and stack them, and then cut the prisms into four pieces and then stack those, and then stretch it out thin and cut into four pieces and stack them. I can’t find that youtube video, though.

You can also start with 3 points, just the hint of a triangle, label them 1, 2, and 3. Then generate a random number between 1 and 3 and place a dot halfway between your current position (starting at one of the 3 points) and that vertex, then generate another number and repeat until you’ve drawn thousands of dots (this is better done programmatically).

You can also get a Sierpiński triangle with cellular automate by following rule 90. Start with a single point. In a square grid, each new cell is the xor of its neighbours.

Of course, triangular grids are more exciting for drawing a Sierpiński triangle with cellular automata rules. Crochet is done on a triangular grid and my wallet which I made myself has a Sierpiński triangle on one side and a Hilbert space filling curve on the other.




:!:
Wanderer-nl
(L-1): Espeonage, Fro99er, Antihero, JarJarDrinks, lalaladucks, BlueBloodedToffee
BlueBloodedToffee
(L-6) All Alone
All Alone
(L-6): Wanderer-nl
lalaladucks
(L-7): BlueBloodedToffee


Not Voting
(4): Bellaphant, DeasVail, DeathRowKitty, MTD

With 12 alive, it takes 7 to lynch.

Deadline: 284th (22*71) day of the year or in (expired on 2015-10-13 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written: empty :neutral:
Spoiler: Things I haven’t rambled about yet but i’m gonna
more about the Birch and Swinnerton-Dyer Conjecture, P vs NP, more figurate numbers, Hodge conjecture, Yang-Mills existence and mass gap, Fermat’s Last Theorem, Hilbert Space Filling Curve, Mandelbrot Set, Burning Ship Fractal, Complex Analysis, Lattice Multiplication, miscellaneous numberphile and vihart videos, practical numbers, abundant numbers, ulam sequence, pronic numbers, lucky numbers, proth numbers, thabit numbers, hilbert numbers, leyland numbers, fibonacci numbers, jacobsthal numbers, pell numbers, pell-lucas numbers, leonardo numbers, perrin numbers, polite numbers, motzkin numbers, Erdős–Woods numbers, vampire numbers, Recursion and Mafia, maths jokes that I wrote myself and why they are funny, Abelian groups and semigroups, noncommutative operations, the 68-95-99.7 rule, fro99er’s first theorem


Mod notes: Today is the 274rd day of the year. 2*137. Bella’s V/LA until Sunday.
The failure mode of clever is asshole.

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Post Post #850 (isolation #44) » Thu Oct 01, 2015 6:19 am

Post by Plotinus »

Official Vote Count 2.0A Burning Ship Fractal
The burning ship fractal is a really beautiful fractal that is very closely related to the Mandelbrot set but is a lot less well known. Here is a pretty video showing a zoom on the burning ship:



It is generated by iterating the function:

zn+1 = (|Re (zn)| + i|Im(zn)|)2 + c; z0 = 0.

This is almost exactly the same as the indicator function for the Mandelbrot set except that you take the absolute value of the Real and Imaginary parts separately before squaring each iteration.

The colours represent how long it takes to escape, that is trend towards infinity, for given values of c. For example we could take a point in the complex plane, (1/3 + 1/3 i) for c and then we square it and add c and get 1/3c + 5/9j, and then we square it again and add c get something like 0.14 + 0.7i and this so far is exactly the same as for the Mandelbrot set but this time when we square it we get -0.14 + 0.52j and so we take the absolute value before going on.



:!:
Wanderer-nl
(L-0): Espeonage, Fro99er, Antihero, JarJarDrinks, lalaladucks, BlueBloodedToffee, All Alone
<—LYNCH

All Alone
(L-6): Wanderer-nl
BlueBloodedToffee
(L-6) All Alone


Not Voting
(4): Bellaphant, DeasVail, DeathRowKitty, MTD

With 12 alive, it took 7 to lynch.

Deadline: 284th (22*71) day of the year or in (expired on 2015-10-13 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written: empty :neutral:
Spoiler: Things I haven’t rambled about yet but i’m gonna
more about the Birch and Swinnerton-Dyer Conjecture, P vs NP, more figurate numbers, Hodge conjecture, Yang-Mills existence and mass gap, Fermat’s Last Theorem, Hilbert Space Filling Curve, Mandelbrot Set, Complex Analysis, Lattice Multiplication, miscellaneous numberphile and vihart videos, practical numbers, abundant numbers, pronic numbers, lucky numbers, proth numbers, thabit numbers, hilbert numbers, leyland numbers, fibonacci numbers, jacobsthal numbers, pell numbers, pell-lucas numbers, leonardo numbers, perrin numbers, polite numbers, motzkin numbers, Erdős–Woods numbers, vampire numbers, Recursion and Mafia, maths jokes that I wrote myself and why they are funny, Abelian groups and semigroups, noncommutative operations, the 68-95-99.7 rule, fro99er’s first theorem


Mod notes: Today is the 274rd day of the year. 2*137. Bella’s V/LA until Sunday. <3
The failure mode of clever is asshole.

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Post Post #852 (isolation #45) » Thu Oct 01, 2015 6:20 am

Post by Plotinus »

A number is an Ulam number if it is the smallest integer that is the sum of two distinct earlier terms in exactly one way. The first two Ulam numbers in the standard Ulam sequence, the (1,2)-Ulam sequence, are defined to be 1 and 2.

The next number is 3 because there’s only one way to get 3 by adding 1 and 2.

The next number is 4, because again there’s only one way to get 4 and that’s by adding 1 and 3. 2+2 doesn’t count because it’s the same number twice.

5 is not an Ulam number, because you can add 1+4 or 2+3, but 6 is an ulam number because you can add 2+4, and 1+5 doesn’t count because 5 isn’t an Ulam number.

The first few Ulam numbers are: 1, 2, 3, 4, 6, 8, 11, 13, 16, 18, 26, 28, 36, 38, 47, 48, 53, 57, 62, 69, 72, 77, 82, 87, 97, 99

Some Ulam numbers are prime: 2, 3, 11, 13, 47, 53, 97, 131, 197, 241, 409, 431, 607, 673, 739, 751, 983, 991, 1103, 1433, 1489

There are infinitely many Ulam numbers.

Wanderer-nl has been lynched. She was a
Mafia Goon
.


Mafia GoonHello, Wanderer

You are a
mafia goon
.

[REDACTED]

Night Factional kill
: You have a factional kill. Any of you may submit it by PM or in the PT like so
Kill: Plotinus
.

During the day, you may vote for players you think are mislynchable and may use your words to convince other players to vote with you. During the night, you may reread the game thread in search of clues for who to nightkill or mislynch tomorrow.

Alignment/win condition
: You are a
mafia
aligned
mafia goon
who can win with the
mafia
, which will happen when the
mafia
equal or outnumber the
town
or nothing can prevent this from occurring.

Good luck and have fun!

Confirm:
either by PMing me your role, alignment, and the names of your buddies or by posting in your PT


Night 2 starts now. Please have your night actions to me if you have them by (expired on 2015-10-04 09:00:00) (a little longer because weekend again).
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Post Post #853 (isolation #46) » Sat Oct 03, 2015 8:00 pm

Post by Plotinus »

Good morning!
Antihero, town vanilla townie
died last night :(


Town Vanilla TownieHello, Anti

You are a
town Vanilla Townie
.

During the day, you may vote for players you think are scummy and may use your words to convince other players to vote with you. During the night, you may reread the game thread in search of scumslips you missed during the daytime.

Alignment/win condition
: You are a
town
aligned
vanilla townie
who can win with the
town
, which will occur when all
threats
to the
town
have been eliminated.

Good luck and have fun!

Confirm:
by PMing me your role and alignment

The game thread is here.


Official Vote Count 3.00 Abundant and weird numbers
Abundant numbers are numbers that when you add up all their proper divisors, you get a number larger than the number itself. 12 is the first because 1 + 2 + 3 + 4 + 6 = 16.

The smallest odd abundant number is 945.

The smallest abundant number not divisible by 2 or 3 is 5391411025, which is 5*7*11*13*17*19*23*29.

About a quarter of the natural numbers are abundant numbers.

Abundant numbers that are not semi-perfect numbers are weird. That means that no subset of the numbers sums to itself. The smallest weird number is 70 because 1+2+5+7+10+14+35 is 74 but you can’t get 70 by adding any subset of those. 12 isn’t weird because 2+4+6=12.

There’s an infinite amount of weird numbers too, so I guess they’re not that weird.



:!:
Everybody
(L-6): nobody

Not Voting
(10): All Alone, Bellaphant, BlueBloodedToffee, DeasVail, DeathRowKitty, Espeonage, Fro99er, JarJarDrinks, lalaladucks, MTD

With 10 alive, it takes 6 to lynch.

Deadline: 291st (3*97) day of the year or in (expired on 2015-10-18 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written: Pronic numbers, Lucky numbers, The Szemerédi Theorem and Central polygonal numbers
Spoiler: Things I haven’t rambled about yet but i’m gonna
more about the Birch and Swinnerton-Dyer Conjecture, P vs NP, more figurate numbers, Hodge conjecture, Yang-Mills existence and mass gap, Fermat’s Last Theorem, Hilbert Space Filling Curve, Mandelbrot Set, Complex Analysis, Lattice Multiplication, miscellaneous numberphile and vihart videos, practical numbers, proth numbers, thabit numbers, hilbert numbers, leyland numbers, fibonacci numbers, jacobsthal numbers, pell numbers, pell-lucas numbers, leonardo numbers, perrin numbers, polite numbers, motzkin numbers, Erdős–Woods numbers, vampire numbers, Recursion and Mafia, maths jokes that I wrote myself and why they are funny, Abelian groups and semigroups, noncommutative operations, the 68-95-99.7 rule, fro99er’s first theorem


Mod notes: Today is the 274rd day of the year. 2*137. Bella’s V/LA until today.
Last edited by Plotinus on Sat Oct 03, 2015 8:07 pm, edited 1 time in total.
The failure mode of clever is asshole.

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Post Post #875 (isolation #47) » Sun Oct 04, 2015 7:49 am

Post by Plotinus »

Official Vote Count 3.01 Pronic numbers
Pronic numbers are numbers in the form n(n+1) or n2 + n if you prefer. If you line up some beans in a square and then add another row or column but not both, you will have a pronic number of beans. The nth pronic number is the sum of the first n even integers. They’re all even, so the only prime pronic number is 2. Two is the only pronic Lucas number and the only pronic Fibonacci number.



:!:
BlueBloodedToffee
(L-4): Espeonage, lalaladucks

Not Voting
(8): All Alone, Bellaphant, BlueBloodedToffee, DeasVail, DeathRowKitty,
Espeonage
, Fro99er, JarJarDrinks,
lalaladucks
, MTD

With 10 alive, it takes 6 to lynch.

Deadline: 291st (3*97) day of the year or in (expired on 2015-10-18 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written: Lucky numbers, The Szemerédi Theorem and Central polygonal numbers
Spoiler: Things I haven’t rambled about yet but i’m gonna
more about the Birch and Swinnerton-Dyer Conjecture, P vs NP, more figurate numbers, Hodge conjecture, Yang-Mills existence and mass gap, Fermat’s Last Theorem, Hilbert Space Filling Curve, Mandelbrot Set, Complex Analysis, Lattice Multiplication, miscellaneous numberphile and vihart videos, practical numbers, proth numbers, thabit numbers, hilbert numbers, leyland numbers, fibonacci numbers, jacobsthal numbers, pell numbers, pell-lucas numbers, leonardo numbers, perrin numbers, polite numbers, motzkin numbers, Erdős–Woods numbers, vampire numbers, Recursion and Mafia, maths jokes that I wrote myself and why they are funny, Abelian groups and semigroups, noncommutative operations, the 68-95-99.7 rule, fro99er’s first theorem


Mod notes: Today is the 277th day of the year. It is prime. Bella’s V/LA until today.
Last edited by Plotinus on Thu Oct 08, 2015 9:33 am, edited 1 time in total.
The failure mode of clever is asshole.

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Post Post #900 (isolation #48) » Mon Oct 05, 2015 1:42 am

Post by Plotinus »

Official Vote Count 3.02 Lucky numbers
Lucky numbers are generated with a sieve, like the Sieve of Eratosthenes but instead of eliminating numbers based on their value, they are eliminated based on their position in the remaining set.

Start with a list of numbers, starting at 1. Circle the 1 and then cross out every second number, leaving only the odd numbers.

Circle the 3, and then remove every 3rd number in the sequence.

Circle the 7, remove every 7th number in the sequence.

The numbers that survive this winnowing are called the lucky numbers. They have some stuff in common with primes and there are infinitely many of them.

Some numbers are lucky AND prime. We don’t know yet if there’s an infinite amount of lucky primes, but you won’t get a million dollars if you figure it out. The first few lucky primes are 3, 7, 13, 31, 37, 43, 67, 73, 79, 127, 151, 163, and 193.


Spoiler: animed gif showing how to generate lucky numbers
Image



:!:
BlueBloodedToffee
(L-3): Espeonage, lalaladucks, All Alone
Fro99er
(L-5): BlueBloodedToffee
DeasVail
(L-5): Fro99er

Not Voting
(5):
All Alone
, Bellaphant,
BlueBloodedToffee
, DeasVail, DeathRowKitty,
Fro99er
, JarJarDrinks, MTD

With 10 alive, it takes 6 to lynch.

Deadline: 291st (3*97) day of the year or in (expired on 2015-10-18 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written: The Szemerédi Theorem and Central polygonal numbers
Spoiler: Things I haven’t rambled about yet but i’m gonna
more about the Birch and Swinnerton-Dyer Conjecture, P vs NP, more figurate numbers, Hodge conjecture, Yang-Mills existence and mass gap, Fermat’s Last Theorem, Hilbert Space Filling Curve, Mandelbrot Set, Complex Analysis, Lattice Multiplication, miscellaneous numberphile and vihart videos, practical numbers, proth numbers, thabit numbers, hilbert numbers, leyland numbers, fibonacci numbers, jacobsthal numbers, pell numbers, pell-lucas numbers, leonardo numbers, perrin numbers, polite numbers, motzkin numbers, Erdős–Woods numbers, vampire numbers, Recursion and Mafia, maths jokes that I wrote myself and why they are funny, Abelian groups and semigroups, noncommutative operations, the 68-95-99.7 rule, fro99er’s first theorem


Mod notes: Today is the 278th day of the year. 2*139.
Last edited by Plotinus on Thu Oct 08, 2015 9:33 am, edited 1 time in total.
The failure mode of clever is asshole.

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Post Post #925 (isolation #49) » Mon Oct 05, 2015 2:23 am

Post by Plotinus »

Official Vote Count 3.03 The Szemerédi Theorem and Central polygonal numbers
The Szemerédi Theorem and Central polygonal numbers

So I was watching this video on youtube about the Szemerédi Theorem which states that if you try to list out the numbers there will always be an arithmetic progression, for example if you list out 1, 2, 4, 5, 6 then 2 4 and 6 will all have a difference of 2.

It has interesting implications for prime numbers because it means there have to be billions of prime numbers with the same difference.

Even in the first few prime numbers there’s 5, 11, 17, 23, 29 which are all separated by 6.



And of course this made me think of the central polygonal numbers, the sequence n(n+1)/2 + 1 which I didn’t know what it was called but I typed the numbers 1, 2, 4, 7, 11, 16, 22, 29, 37, 46, 56, 67, 79, 92 into http://oeis.org because I knew it had to be called something.

It’s also called the Lazy Caterer’s sequence because it’s the maximum number of pieces you can get by slicing a pancake with n cuts.

I felt like I must have misunderstood something about the Szemerédi Theorem if I’d thought of a counterexample so quickly, and I did, because if you look at 1, 2, 4, 7, you see there is a gap of 3 between 1 and 4 and also between 4 and 7, and there’s a gap of 15 between 7, 22, and 37. And this actually makes perfect sense and follows naturally.


:!:
BlueBloodedToffee
(L-4):
Espeonage
, lalaladucks, All Alone
Fro99er
(L-5): BlueBloodedToffee
DeasVail
(L-5): Fro99er
JarJarDrinks
(L-5): Espeonage

Not Voting
(5): Bellaphant, DeasVail, DeathRowKitty, JarJarDrinks, MTD

With 10 alive, it takes 6 to lynch.

Deadline: 291st (3*97) day of the year or in (expired on 2015-10-18 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written: :neutral:
Spoiler: Things I haven’t rambled about yet but i’m gonna
more about the Birch and Swinnerton-Dyer Conjecture, P vs NP, more figurate numbers, Hodge conjecture, Yang-Mills existence and mass gap, Fermat’s Last Theorem, Hilbert Space Filling Curve, Mandelbrot Set, Complex Analysis, Lattice Multiplication, miscellaneous numberphile and vihart videos, practical numbers, proth numbers, thabit numbers, hilbert numbers, leyland numbers, fibonacci numbers, jacobsthal numbers, pell numbers, pell-lucas numbers, leonardo numbers, perrin numbers, polite numbers, motzkin numbers, Erdős–Woods numbers, vampire numbers, Recursion and Mafia, maths jokes that I wrote myself and why they are funny, Abelian groups and semigroups, noncommutative operations, the 68-95-99.7 rule, fro99er’s first theorem


Mod notes: Today is the 278th day of the year. 2*139.
Last edited by Plotinus on Thu Oct 08, 2015 9:33 am, edited 1 time in total.
The failure mode of clever is asshole.

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Post Post #950 (isolation #50) » Mon Oct 05, 2015 8:00 am

Post by Plotinus »

Official Vote Count 3.04 (unchanged) Proth numbers
Proth numbers are numbers that fit the formula k×2n + 1, where k are odd positive integers, and 2n > k.

Proth’s theorem states that a proth number is prime if there exists an integer a for which a(p-1)/2 = -1 (mod p).

The largest known Proth prime is 19249*213018586 + 1. It is the largest known non-Mersenne prime.

Proth numbers were discovered by François Proth, a self-taught farmer mathematician.


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Deadline: 291st (3*97) day of the year or in (expired on 2015-10-18 14:00:00).

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Mod notes: Today is the 278th day of the year. 2*139.
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Post Post #976 (isolation #51) » Tue Oct 06, 2015 1:00 am

Post by Plotinus »

Official Vote Count 3.05 Thabit numbers
Thabit numbers are numbers that match the pattern 3×2n - 1

The first few Thabit numbers are 2, 5, 11, 23, 47, 95, 191, and you can get the next one by doubling the previous number and adding 1.

There are quite a few Thabit primes. The largest known one is 3*211895718-1.

They are named after Al-Ṣābiʾ Thābit ibn Qurra al-Ḥarrānī, an Arabic mathematician who lived in Baghdad in the 9th century AD.


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With 10 alive, it takes 6 to lynch.

Deadline: 291st (3*97) day of the year or in (expired on 2015-10-18 14:00:00).

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Flavour Queue Written: :neutral:
Spoiler: Things I haven’t rambled about yet but i’m gonna
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Mod notes: Today is the 279th day of the year. 3*31.
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Post Post #1006 (isolation #52) » Tue Oct 06, 2015 5:44 pm

Post by Plotinus »

Official Vote Count 3.06 Motzkin numbers
Motzkin numbers represent the number of different ways you can draw chords between n points on a circle that don’t intersect each other. They are named after Theodore Motzkin, an Israeli-American mathematician from the 20th century.

The first few Motzkin numbers are: 1, 1, 2, 4, 9, 21, 51, 127, 323, 835, 2188, 5798, 15511, 41835, 113634, 310572, 853467, 2356779, 6536382, 18199284, 50852019, 142547559, 400763223, 1129760415, 3192727797, 9043402501, 25669818476, 73007772802, 208023278209, 593742784829

There is 1 way to draw chords between 0 or 1 points on a circle (to not draw any). There is also only 1 way to draw a chord between two points: to draw 1 chord.

Here are all the ways to draw non intersecting chords between 4 points:

Image

And here are the ways to draw non-intersecting chords between 5 points on a circle:

Image

There are only four known Motzkin primes: 2, 127, 15511, and 953467954114363.


:!:
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With 10 alive, it takes 6 to lynch.

Deadline: 291st (3*97) day of the year or in (expired on 2015-10-18 14:00:00).

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Flavour Queue Written: :neutral:
Spoiler: Things I haven’t rambled about yet but i’m gonna
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Mod notes: Today is the 280th day of the year. 23*5*7. Must be a Wednesday because divisible by 7! Frogger is V/LA until Friday.
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Post Post #1050 (isolation #53) » Wed Oct 07, 2015 6:16 pm

Post by Plotinus »

Official Vote Count 3.07 π and the Mandelbrot Set
The videos with Dr Krieger are some of my favourite numberphile videos. I love complex analysis so much and I love the way she makes it accessible.



In this one, she talks about a way to approximate π with the mandelbrot set.

Extra footage that explains why π:




:!:
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(L-4): DeasVail, DeathRowKitty
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(L-5): BlueBloodedToffee
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With 10 alive, it takes 6 to lynch.

Deadline: 291st (3*97) day of the year or in (expired on 2015-10-18 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written: :neutral:
Spoiler: Things I haven’t rambled about yet but i’m gonna
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Mod notes: Today is the 281st day of the year. It's prime. Frogger is V/LA until Friday.
Last edited by Plotinus on Thu Oct 08, 2015 9:34 am, edited 1 time in total.
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Post Post #1077 (isolation #54) » Thu Oct 08, 2015 5:51 am

Post by Plotinus »

Official Vote Count 3.08 (unchanged) Powers of two and Benford’s Law
This is a video about the distribution of the leading digit of the powers of two. It obeys Benford’s Law actually.

I also really liked the powers of two when I was a kid.

Benford’s law states that if you have a bunch of numbers spanning multiple orders of magnitude, about 30% of the numbers will start with a 1, and about 17.6% will start with 2 and there will be less 3s than that and less 4s and only 4.6% will start with a nine. The distribution is logarithmic.


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With 10 alive, it takes 6 to lynch.

Deadline: 291st (3*97) day of the year or in (expired on 2015-10-18 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written: :neutral:
Spoiler: Things I haven’t rambled about yet but i’m gonna
more about the Birch and Swinnerton-Dyer Conjecture, P vs NP, more figurate numbers, Hodge conjecture, Yang-Mills existence and mass gap, Fermat’s Last Theorem, Hilbert Space Filling Curve, Mandelbrot Set, Complex Analysis, Lattice Multiplication, miscellaneous numberphile and vihart videos, practical numbers, hilbert numbers, leyland numbers, fibonacci numbers, jacobsthal numbers, pell numbers, pell-lucas numbers, leonardo numbers, perrin numbers, polite numbers, Erdős–Woods numbers, vampire numbers, Recursion and Mafia, maths jokes that I wrote myself and why they are funny, Abelian groups and semigroups, noncommutative operations, the 68-95-99.7 rule, fro99er’s first theorem


Mod notes: Today is the 280th day of the year. 23*5*7. Must be a Wednesday because divisible by 7! Frogger is V/LA until Friday. Sorry I missed pagetop, was taking a shower.
Last edited by Plotinus on Thu Oct 08, 2015 9:35 am, edited 1 time in total.
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Post Post #1083 (isolation #55) » Thu Oct 08, 2015 7:07 pm

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Prodded DeathRowKitty and lalaladucks. They have (expired on 2015-10-10 08:07:00) to post.
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Post Post #1099 (isolation #56) » Fri Oct 09, 2015 12:52 am

Post by Plotinus »

8242 is a number I randomly generated just for you because I love you. It has no in game significance, but you know that its prime factors are 2, 13, and 317, and that if you were 8242 days old you would be just over 22 and a half years old.
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Post Post #1100 (isolation #57) » Fri Oct 09, 2015 12:52 am

Post by Plotinus »

Official Vote Count 3.09 Logarithms
I didn’t understand logarithms when I was taught them in school. It was hard to shuffle the numbers around and get them in the right order and hard to understand what the purpose of it was and what I was really doing when I used a logarithm. I didn’t really understand them intuitively until I encountered this ViHart video a while back.

Addition is counting in a + 1 kind of way.

Multiplication is counting in a +2 kind of way, counting in a +5 kind of way.

What is 27 when counting in a + 9 sort of way? 3. That’s division.

Exponentiation is counting in a times sort of way. 8 is 3 when counting in a times twoish sort of way.

In a system that counts in a times 3 sort of way, 81 is 4 steps. log3 81 = 4.
log64 128 = 7/6



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With 10 alive, it takes 6 to lynch.

Deadline: 291st (3*97) day of the year or in (expired on 2015-10-18 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written: Fermat’s Last Theorem, Hilbert Space Filling Curve
Spoiler: Things I haven’t rambled about yet but i’m gonna
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Mod notes: Today is the 282nd day of the year. 2*3*47! Frogger is V/LA until today. The deadline was wrong in all vote counts but the first one of day 3. I’ve fixed it.
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Post Post #1103 (isolation #58) » Fri Oct 09, 2015 7:24 am

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Prodded Espeonage. He has (expired on 2015-10-10 20:24:00) to post.
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Post Post #1124 (isolation #59) » Sat Oct 10, 2015 9:01 pm

Post by Plotinus »

Prodded BlueBloodedToffee. The prod timer runs slower on weekends. He has (expired on 2015-10-12 17:00:00) to post.
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Post Post #1125 (isolation #60) » Sat Oct 10, 2015 9:02 pm

Post by Plotinus »

Official Vote Count 3.0A Fermat’s Last Theorem
Marvellous proof I have found for this theorem
Margins too small, there’s no room to expound
Here lies a riddle for future math theses
Marvellous proof I have found!


—Plotinus (from a poem I wrote in English in romantic stanza about math)

It is impossible to separate a cube into two cubes,
or a fourth power into two fourth powers, or in
general, any power higher than the second, into two
like powers. I have discovered a truly marvellous proof
of this, which this margin is too narrow to contain.


—Fermat




So back in the 17th century, this guy named Fermat scribbled in the margin of a copy of Arithmetica that he had a proof for the theorem that there are no n greater than 2 for which a solution exists to the equation an + bn = cn. Unfortunately, the margins were too small and he couldn’t explain what his proof was and he never proved it before he died.

Nobody else could prove it either. For 358 years, people tried to approach it in many different ways. Finally in 1994, it was really exciting, Andrew Wiles solved it but he approached with with elliptical curves, using mathematical ideas that hadn’t been discovered in Fermat’s time. It’s unknown whether there’s a proof that could exist with only the mathematics available to Fermat. It’s possible that there isn’t and that he was mistaken.

Fermat was able to prove the special case that there are no integers a, b, and c that makes a4 + b4 = c4 work, but a general proof for all n, he didn’t provide it.

You might say “hang on a minute, what if any of a, b, and c are 0?” and you’d be right that 04 + 04 = 04, and you’d be right that 0n + bn = cn is true for all n where b = c, but those are trivial solutions and they don’t count. a, b, and c have to be bigger than 0 and they have to be whole numbers.

a, b, and c are all bigger than 0 and n is bigger than 2.

We know that a2 + b2 = c2 works; it’s probably one of the few things most people remember from geometry in school, and there are many solutions to that like 32 + 42 = 52. and There are also many solutions for a1 + b1 = c1, for example 1 + 2 = 3.



:!:
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Bellaphant
(L-4): DeasVail, DeathRowKitty
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(L-5): BlueBloodedToffee
JarJarDrinks
(L-5): Espeonage


Not Voting
(2): MTD, Bellaphant

With 10 alive, it takes 6 to lynch.

Deadline: 291st (3*97) day of the year or in (expired on 2015-10-18 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written: Hilbert Space Filling Curve, Cauchy-Riemann equations, the Doppler effect

Spoiler: Things I haven’t rambled about yet but i’m gonna
more about the Birch and Swinnerton-Dyer Conjecture, P vs NP, more figurate numbers, Hodge conjecture, Yang-Mills existence and mass gap, Mandelbrot Set, Complex Analysis, Lattice Multiplication, miscellaneous numberphile and vihart videos, practical numbers, hilbert numbers, leyland numbers, fibonacci numbers, jacobsthal numbers, pell numbers, pell-lucas numbers, leonardo numbers, perrin numbers, polite numbers, Erdős–Woods numbers, vampire numbers, Recursion and Mafia, Abelian groups and semigroups, noncommutative operations, the 68-95-99.7 rule, fro99er’s first theorem, euler’s perfect equation


Mod notes: Today is the 284th day of the year. 22*71. The prod timer runs slower on weekends; BlueBloodedToffee has (expired on 2015-10-12 17:00:00) to respond to his prod by posting.
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Post Post #1149 (isolation #61) » Sun Oct 11, 2015 1:04 am

Post by Plotinus »

6851 is a number I randomly generated just for you because I love you. It has no in game significance, but you know that its prime factors are 13, 17, and 31, and that if you were 6851 days old you would be just over 18 and a three quarters years old.
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Post Post #1150 (isolation #62) » Sun Oct 11, 2015 1:04 am

Post by Plotinus »

Official Vote Count 3.0B Hilbert Space Filling Curve

Image

This is a picture of the wallet that I made for myself. It features a Hilbert Space Filling Curve. You can trace the little red line all the way around the wallet and back to the starting point. ViHart made a video about the Hilbert Curves:



There are other space filling curves out there, too, like the Peano curve and the Gosper curve. The Gosper curve is pretty.

Image

Plane filling curves have a Hausdorff dimension of 2.




:!:
BlueBloodedToffee
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Fro99er
, JarJarDrinks, Espeonage
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(L-5): BlueBloodedToffee

Not Voting
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With 10 alive, it takes 6 to lynch.

Deadline: 291st (3*97) day of the year or in (expired on 2015-10-18 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written: Cauchy-Riemann equations, the Doppler effect

Spoiler: Things I haven’t rambled about yet but i’m gonna
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Mod notes: Today is the 284th day of the year. 22*71.
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Post Post #1175 (isolation #63) » Sun Oct 11, 2015 2:19 am

Post by Plotinus »

Official Vote Count 3.0B Cauchy-Riemann Equations

What’s complex differentiable and has a Hausdorf dimension of log 4/ log 3? A Kochy-Riemann snowflake! I wrote this joke all by myself. It’s funny because it’s a pun.

The Cauchy-Riemann equations are a system of two partial differential equations. If a function is complex differentiable, it satisfies the Cauchy-Riemann equations, which means it’s holomorphic.

This means that for every point in the function, from whichever direction in the complex plane that you approach it, you can take the derivative.

δu/δx = δv/δy and δu/δy = -δv/δx

This means the derivative of u with respect to x is equal to the derivative of v with respect to y, and derivative of u with respect to y is equal to minus derived of v with respect to x.

Satisfying the Cauchy-Riemann equations is only the first step. In order for it to be complex differentiable, u and v also need to be real differentiable.

An example thing that is not complex differentiable is a Koch snowflake.

Image

The reason it’s not complex differentiable is it has all those pointy bits. You can’t take the derivative at those pointy bits because they’re not smooth; they direction it is going changes abruptly.

It has a Hausdorff dimension of log 4/ log 3.




:!:
BlueBloodedToffee
(L-1): lalaladucks, All Alone, JarJarDrinks, Espeonage, Fro99er
Bellaphant
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With 10 alive, it takes 6 to lynch.

Deadline: 291st (3*97) day of the year or in (expired on 2015-10-18 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written: the Doppler effect

Spoiler: Things I haven’t rambled about yet but i’m gonna
more about the Birch and Swinnerton-Dyer Conjecture, P vs NP, more figurate numbers, Hodge conjecture, Yang-Mills existence and mass gap, Mandelbrot Set, Complex Analysis, Lattice Multiplication, miscellaneous numberphile and vihart videos, practical numbers, hilbert numbers, leyland numbers, fibonacci numbers, jacobsthal numbers, pell numbers, pell-lucas numbers, leonardo numbers, perrin numbers, polite numbers, Erdős–Woods numbers, vampire numbers, Recursion and Mafia, Abelian groups and semigroups, noncommutative operations, the 68-95-99.7 rule, fro99er’s first theorem, euler’s perfect equation


Mod notes: Today is the 284th day of the year. 22*71.
The failure mode of clever is asshole.

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Post Post #1203 (isolation #64) » Sun Oct 11, 2015 6:18 pm

Post by Plotinus »

Official Vote Count 3.0C (Final) The Doppler Effect

Why do car lights look blueish white when the car is coming towards you, but reddish when the car is going away? The doppler effect! This is another joke that I made up all by myself and it’s funny because cars aren’t actually moving fast enough for redshift to be noticeable and instead the real reason is that the glass is coloured differently. Don’t report me for moderator lies, it was a joke!

Here is a pretty picture about the Doppler effect:

Image



:!:
BlueBloodedToffee
(L-0): lalaladucks, All Alone, JarJarDrinks, Espeonage, Fro99er, DeasVail
<--LYNCH

Bellaphant
(L-5):
DeasVail
, DeathRowKitty
Fro99er
(L-5): BlueBloodedToffee

Not Voting
(2): MTD, Bellaphant

With 10 alive, it took 6 to lynch.

Deadline: 291st (3*97) day of the year or in (expired on 2015-10-18 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written: :neutral:

Spoiler: Things I haven’t rambled about yet but i’m gonna
more about the Birch and Swinnerton-Dyer Conjecture, P vs NP, more figurate numbers, Hodge conjecture, Yang-Mills existence and mass gap, Mandelbrot Set, Complex Analysis, Lattice Multiplication, miscellaneous numberphile and vihart videos, practical numbers, hilbert numbers, leyland numbers, fibonacci numbers, jacobsthal numbers, pell numbers, pell-lucas numbers, leonardo numbers, perrin numbers, polite numbers, Erdős–Woods numbers, vampire numbers, Recursion and Mafia, Abelian groups and semigroups, noncommutative operations, the 68-95-99.7 rule, fro99er’s first theorem, euler’s perfect equation


Mod notes: Today is the 285th day of the year. 3*5*19.
The failure mode of clever is asshole.

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Post Post #1204 (isolation #65) » Sun Oct 11, 2015 7:26 pm

Post by Plotinus »


Mandelbrot set pretty. Is pretty indicator function. Is mathsy.

Just take a point called z in the complex plane let z1 be z2 + z0
and z2 is z12 + z0
and z3 is z22 + z0

and so on.

If the series of z's will always stay close to z and never trend away that point is in the mandelbrot set!


When can't sleep is fun to pick number like 1/3 + 1/3 i and try figure out is in mandelbrot set or not. spoiler: is.

or 1/4 + 1/10 i: is

or 26/100 which we know isn't but how long does it take to escape? 29. Working it out in head is kinda fun but I wrote a python (3.x) program to work it out for me so that I can check my work and see if I got it right or not.

Code: Select all

#! /usr/bin/python3
# -*- coding: utf-8 -*
import cmath

def mandelbrot(z):
    newz = z**2 + z
    bailout = 1000
    while cmath.polar(newz)[0] < 2 and bailout > 0:
        newz = newz**2 + z
        bailout = bailout - 1
        print(newz)
    answer = ""
    if bailout < 1:
        answer = "It is probably in the Mandelbrot set"
    else:
        answer = "It escaped in " + str(1001-bailout) + " tries"
    return answer

while 1:
    try:
        z = ''
        z = complex(input("Complex number (Eg: .25+.1j) or ctrl-c: "))
        print(mandelbrot(z))
    except ValueError:
        print("Exactly as written with no spaces, and it has to be decimals not fractions.")


BlueBloodedToffee has been lynched. He was a
Mafia Encryptor
.


Mafia EncryptorHello, BBT

You are a
mafia encryptor
.

[REDACTED]

Night Factional kill
: You have a factional kill. Any of you may submit it by PM or in the PT like so
BBT kills Plotinus
.

Day special passive ability
: During the day phase, while you are alive, your buddies and yourself have day talk. After you die, your buddies can only talk during the night time.

During the day, you may vote for players you think are mislynchable and may use your words to convince other players to vote with you. During the night, you may reread the game thread in search of clues for who to nightkill or mislynch tomorrow.

Alignment/win condition
: You are a
mafia
aligned
mafia encryptor
who can win with the
mafia
, which will happen when the
mafia
equal or outnumber the
town
, or nothing can prevent this from occurring.

Good luck and have fun!

Confirm:
either by PMing me your role, alignment, and the names of your buddies or by posting in your PT

The game thread is here


Night 3 starts now. Please have your night actions to me if you have them by (expired on 2015-10-14 09:00:00).
The failure mode of clever is asshole.

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Post Post #1205 (isolation #66) » Tue Oct 13, 2015 8:27 pm

Post by Plotinus »

Good morning! DeathRowKitty has died. :( They were a
town vanilla townie
!


Here is a pretty colourful prime factorisation thing to stare at http://www.datapointed.net/visualizatio ... -diagrams/. I really like the patterns of the different prime factorisations of the numbers, something that I observe in slow motion as the year progresses when I take the prime factorisation of the day of the year every single day.

I have an algorithm for choosing which shirt to wear based on the prime factors of the current day and watching the position of the shirts in the wardrobe change is pleasing to me.

Also, and this is neither here nor there, but if you take the largest prime factor of every integer between 1 and n, where n is the perfect square of a prime number, the median will either be sqrt(n) or really close to it (in the case of 121, the median isn't 11 but 11 is adjacent to the median so it's just one off) and I don't know why.

I worked this out for 361 using the slowest algorithm you could imagine: for an entire year I kept one type of garment in two piles and on days where the largest prime factor of the day of the year was smaller than 19, I took from the left pile and on days when it was larger than 19, I took from the right pile, and on days when it was exactly 19 I took from the clothesline so as not to mess it up.

Anyway, DRK is dead. This was their role PM:


Town Vanilla TownieHello, DRK!

You are a
town Vanilla Townie
.

During the day, you may vote for players you think are scummy and may use your words to convince other players to vote with you. During the night, you may reread the game thread in search of scumslips you missed during the daytime.

Alignment/win condition
: You are a
town
aligned
vanilla townie
who can win with the
town
, which will occur when all
threats
to the
town
have been eliminated.

Good luck and have fun!

Confirm:
by PMing me your role and alignment

The game thread is here.
The failure mode of clever is asshole.

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Post Post #1206 (isolation #67) » Tue Oct 13, 2015 8:34 pm

Post by Plotinus »

Official Vote Count 4.00 Langston’s Ant



Langston’s Ant is a cellular automaton and it’s really cool. The rules are really simple but it makes neat patterns. It’s like Conway's game of life but a little more complicated but the exciting thing happens after a while. The ant gets really chaotic after a while and then all of a sudden after 10000 steps a pattern emerges and it’s really cool.



:!:
Everybody
(L-5): nobody

Not Voting
(8): All Alone, Bellaphant, DeasVail, Espeonage, Fro99er, JarJarDrinks, lalaladucks, MTD

With 8 alive, it takes 5 to lynch.

Deadline: 301st (7*43) day of the year or in (expired on 2015-10-28 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written: :neutral:

Spoiler: Things I haven’t rambled about yet but i’m gonna
more about the Birch and Swinnerton-Dyer Conjecture, P vs NP, more figurate numbers, Hodge conjecture, Yang-Mills existence and mass gap, more about the Mandelbrot Set, Complex Analysis, Lattice Multiplication, miscellaneous numberphile and vihart videos, practical numbers, hilbert numbers, leyland numbers, fibonacci numbers, jacobsthal numbers, pell numbers, pell-lucas numbers, leonardo numbers, perrin numbers, polite numbers, Erdős–Woods numbers, vampire numbers, Recursion and Mafia, Abelian groups and semigroups, noncommutative operations, the 68-95-99.7 rule, fro99er’s first theorem, euler’s perfect equation


Mod notes: Today is the 287th day of the year. 7*41.
The failure mode of clever is asshole.

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Post Post #1213 (isolation #68) » Tue Oct 13, 2015 10:09 pm

Post by Plotinus »

lalaladucks,
Town Innocent Child
, is confirmed by me to be a
town aligned innocent child
who can win with the
town
! Yay!
The failure mode of clever is asshole.

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Post Post #1230 (isolation #69) » Wed Oct 14, 2015 1:12 am

Post by Plotinus »

Official Vote Count 4.01 Untouchable numbers


There are an infinite amount of numbers that cannot be expressed as the sum of all the proper divisors of any positive integer. These numbers are untouchable. The number 5 is untouchable because 1 + 4 is the only way to write it as the sum of distinct positive integers including 1. 1 has to be included because it is a divisor of every number. Any number that is divisible by 4 is also divisible by 2, so it would be 1 + 2 + 4 but that’s 7 not 5.

2 is also untouchable because you can’t write it as the sum of distinct positive integers period.

Other untouchable numbers are 52, 88, 96, 120, 124…

It is possible that 5 is the only odd untouchable number, but this hasn’t been proven. If you can prove the Goldbach conjecture, you can prove this too, though. Good luck!



:!:
Bellaphant
(L-3):
lalaladucks
, DeasVail
All Alone
(L-4): Bellaphant

Not Voting
(5): All Alone,
Bellaphant, DeasVail
, Espeonage, Fro99er, JarJarDrinks,
lalaladucks
, MTD

With 8 alive, it takes 5 to lynch.

Deadline: 301st (7*43) day of the year or in (expired on 2015-10-28 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written: :neutral:

Spoiler: Things I haven’t rambled about yet but i’m gonna
more about the Birch and Swinnerton-Dyer Conjecture, P vs NP, more figurate numbers, Hodge conjecture, Yang-Mills existence and mass gap, more about the Mandelbrot Set, Complex Analysis, Lattice Multiplication, miscellaneous numberphile and vihart videos, practical numbers, hilbert numbers, leyland numbers, fibonacci numbers, jacobsthal numbers, pell numbers, pell-lucas numbers, leonardo numbers, perrin numbers, polite numbers, Erdős–Woods numbers, vampire numbers, Recursion and Mafia, Abelian groups and semigroups, noncommutative operations, the 68-95-99.7 rule, fro99er’s first theorem, euler’s perfect equation, goldbach’s conjecture


Mod notes: Today is the 287th day of the year. 7*41.
The failure mode of clever is asshole.

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Post Post #1249 (isolation #70) » Wed Oct 14, 2015 1:46 am

Post by Plotinus »

2402 is a number I randomly generated just for you because I love you. It has no in game significance, but you know that its prime factors are 2 and 1201, and that if you were 2402 days old you would be just over 6 and a half years old.
The failure mode of clever is asshole.

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Post Post #1250 (isolation #71) » Wed Oct 14, 2015 1:47 am

Post by Plotinus »

Official Vote Count 4.02 1 + 2 + 3 + 4 + etc + ∞ = -1/12



If you add up all the numbers you get -1/12 because mathematicians are troll rules lawyers but it’s actually true or something if you watch the video it explains why, without having to understand the Riemann zeta function.

This one is also about -1/12 but it talks in more detail:




:!:
Bellaphant
(L-2):
lalaladucks
,
DeasVail
, JarJarDrinks, Fro99er
All Alone
(L-4): Bellaphant

Not Voting
(4): All Alone, Espeonage,
Fro99er, JarJarDrinks
, MTD, DeasVail

With 8 alive, it takes 5 to lynch.

Deadline: 301st (7*43) day of the year or in (expired on 2015-10-28 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written: :neutral:

Spoiler: Things I haven’t rambled about yet but i’m gonna
more about the Birch and Swinnerton-Dyer Conjecture, P vs NP, more figurate numbers, Hodge conjecture, Yang-Mills existence and mass gap, more about the Mandelbrot Set, Complex Analysis, Lattice Multiplication, miscellaneous numberphile and vihart videos, practical numbers, hilbert numbers, leyland numbers, fibonacci numbers, jacobsthal numbers, pell numbers, pell-lucas numbers, leonardo numbers, perrin numbers, polite numbers, Erdős–Woods numbers, vampire numbers, Recursion and Mafia, Abelian groups and semigroups, noncommutative operations, the 68-95-99.7 rule, fro99er’s first theorem, euler’s perfect equation, goldbach’s conjecture


Mod notes: Today is the 287th day of the year. 7*41.
The failure mode of clever is asshole.

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Post Post #1278 (isolation #72) » Wed Oct 14, 2015 5:01 am

Post by Plotinus »

Official Vote Count 4.03 Knots



Here’s a youtube video on Möbius knots. In maths, a knot is not the thing you use to tie your shoelace because that can be untied. In maths, a knot is only a knot if you can’t untie it but have to cut it to get it loose.

There exist molecular knots made out of molecules, also called knotanes. Here’s a picture of one.

Image

DNA is a natural knotane.


:!:
Bellaphant
(L-4):
lalaladucks
,
JarJarDrinks, Fro99er

All Alone
(L-5): Bellaphant


Not Voting
(7): All Alone, Espeonage, MTD, DeasVail, Fro99er, JarJardrinks, Bellaphant

With 8 alive, it takes 5 to lynch.

Deadline: 301st (7*43) day of the year or in (expired on 2015-10-28 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written: :neutral:

Spoiler: Things I haven’t rambled about yet but i’m gonna
more about the Birch and Swinnerton-Dyer Conjecture, P vs NP, more figurate numbers, Hodge conjecture, Yang-Mills existence and mass gap, more about the Mandelbrot Set, Complex Analysis, Lattice Multiplication, miscellaneous numberphile and vihart videos, practical numbers, hilbert numbers, leyland numbers, fibonacci numbers, jacobsthal numbers, pell numbers, pell-lucas numbers, leonardo numbers, perrin numbers, polite numbers, Erdős–Woods numbers, vampire numbers, Recursion and Mafia, Abelian groups and semigroups, noncommutative operations, the 68-95-99.7 rule, fro99er’s first theorem, euler’s perfect equation, goldbach’s conjecture


Mod notes: Today is the 287th day of the year. 7*41.
The failure mode of clever is asshole.

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Post Post #1301 (isolation #73) » Wed Oct 14, 2015 8:01 am

Post by Plotinus »

Official Vote Count 4.05 Embedding a Torus




This is interesting but I’m mostly listening to it and thinking mmkay, somebody’s never folded laundry before. Great. I want all of you to take a square washcloth and pin the left side to the right side and then the top side to the bottom side you can make a torus and distances are preserved just fine.



:!:
DeasVail
(L-3): Fro99er, JarJarDrinks
Bellaphant
(L-4):
lalaladucks


Not Voting
(5): All Alone, Espeonage, MTD, DeasVail,
Fro99er, JarJarDrinks
, Bellaphant

With 8 alive, it takes 5 to lynch.

Deadline: 301st (7*43) day of the year or in (expired on 2015-10-28 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written: hyperbolic crochet

Spoiler: Things I haven’t rambled about yet but i’m gonna
more about the Birch and Swinnerton-Dyer Conjecture, P vs NP, more figurate numbers, Hodge conjecture, Yang-Mills existence and mass gap, more about the Mandelbrot Set, Complex Analysis, Lattice Multiplication, miscellaneous numberphile and vihart videos, practical numbers, hilbert numbers, leyland numbers, fibonacci numbers, jacobsthal numbers, pell numbers, pell-lucas numbers, leonardo numbers, perrin numbers, polite numbers, Erdős–Woods numbers, vampire numbers, Recursion and Mafia, Abelian groups and semigroups, noncommutative operations, the 68-95-99.7 rule, fro99er’s first theorem, euler’s perfect equation, goldbach’s conjecture


Mod notes: Today is the 287th day of the year. 7*41.
The failure mode of clever is asshole.

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Post Post #1340 (isolation #74) » Wed Oct 14, 2015 9:58 am

Post by Plotinus »

Official Vote Count 4.06 The Hyperbolic Plane



Basically, hyperbolic geometry is stuff with ruffles on it. Like anemone, coral, lettuce, or a skirt. For hundreds of years, mathematicians theorised about hyperbolic geometry but were pretty sure it didn’t exist in real life. and then women started getting mathematics degrees.

You can learn more about the crochet coral reef here: http://crochetcoralreef.org/

I think I want to talk about textiles next because there’s a lot of interesting mathematical work done with textiles, especially with regards to hyperbolic plane. I have a hyperbolic möbius strip that I made a while back.

This is another really interesting video on this subject from the latvian woman, Daina Taimiņa who invented this stuff:



She has a blog: http://hyperbolic-crochet.blogspot.com


:!:
DeasVail
(L-1): Fro99er, JarJarDrinks, Bellaphant, MTD
Bellaphant
(L-4):
lalaladucks

JarJarDrinks
(L-4): MTD


Not Voting
(3): All Alone, Espeonage,
MTD
, DeasVail,
Bellaphant


With 8 alive, it takes 5 to lynch.

Deadline: 301st (7*43) day of the year or in (expired on 2015-10-28 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written:

Spoiler: Things I haven’t rambled about yet but i’m gonna
more about the Birch and Swinnerton-Dyer Conjecture, P vs NP, more figurate numbers, Hodge conjecture, Yang-Mills existence and mass gap, more about the Mandelbrot Set, Complex Analysis, Lattice Multiplication, miscellaneous numberphile and vihart videos, practical numbers, hilbert numbers, leyland numbers, fibonacci numbers, jacobsthal numbers, pell numbers, pell-lucas numbers, leonardo numbers, perrin numbers, polite numbers, Erdős–Woods numbers, vampire numbers, Recursion and Mafia, Abelian groups and semigroups, noncommutative operations, the 68-95-99.7 rule, fro99er’s first theorem, euler’s perfect equation, goldbach’s conjecture


Mod notes: Today is the 287th day of the year. 7*41.
Last edited by Plotinus on Wed Oct 14, 2015 9:58 am, edited 1 time in total.
The failure mode of clever is asshole.

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Post Post #1350 (isolation #75) » Wed Oct 14, 2015 10:09 am

Post by Plotinus »

Official Vote Count 4.07 (unchanged) the Stable Marriage Problem





This is a video about the stable marriage problem which is a way to figure out a configuration of relationships such that cheating is ruled out because nobody can do better than the person they’re with because the people they like better are all taken by people
they
like better.

I was interested in this problem for an entire afternoon a while back and decided it was more interesting if there were nulls in the mixture, if instead of having to rank everybody and maybe be stuck with your last choice, if you could put “nobody” somewhere in the middle because let’s face it, there are people we would rather be alone forever than to date them, while another person might be happy with that person. Anyway, it still works pretty well if you allow nobody. Some people end up alone but that’s okay. Also I found all the heterosexual pairings to be weird so in my version anybody could pair with anybody and I just assumed that they’d put the people of the wrong gender below “nobody” if that was a concern for them.


:!:
DeasVail
(L-1): Fro99er, JarJarDrinks, Bellaphant, MTD
Bellaphant
(L-4):
lalaladucks


Not Voting
(3): All Alone, Espeonage, DeasVail

With 8 alive, it takes 5 to lynch.

Deadline: 301st (7*43) day of the year or in (expired on 2015-10-28 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written: :neutral:

Spoiler: Things I haven’t rambled about yet but i’m gonna
more about the Birch and Swinnerton-Dyer Conjecture, P vs NP, more figurate numbers, Hodge conjecture, Yang-Mills existence and mass gap, more about the Mandelbrot Set, Complex Analysis, Lattice Multiplication, miscellaneous numberphile and vihart videos, practical numbers, hilbert numbers, leyland numbers, fibonacci numbers, jacobsthal numbers, pell numbers, pell-lucas numbers, leonardo numbers, perrin numbers, polite numbers, Erdős–Woods numbers, vampire numbers, Recursion and Mafia, Abelian groups and semigroups, noncommutative operations, the 68-95-99.7 rule, fro99er’s first theorem, euler’s perfect equation, goldbach’s conjecture


Mod notes: MY PAGETOP ALL MINE Today is the 287th day of the year. 7*41.
Last edited by Plotinus on Wed Oct 14, 2015 10:12 am, edited 2 times in total.
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Post Post #1377 (isolation #76) » Wed Oct 14, 2015 10:55 am

Post by Plotinus »

Official Vote Count 4.08 Mandelbrot talks about fractals



Here is a video about Mandelbrot talking about Fractals and roughness.


:!:
DeasVail
(L-2):
Fro99er
, JarJarDrinks, Bellaphant,
MTD
,
Fro99er
, MTD
MTD
(L-3): Fro99er, DeasVail
Bellaphant
(L-4):
lalaladucks


Not Voting
(2): All Alone, Espeonage,
DeasVail, Fro99er, MTD


With 8 alive, it takes 5 to lynch.

Deadline: 301st (7*43) day of the year or in (expired on 2015-10-28 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written: :neutral:

Spoiler: Things I haven’t rambled about yet but i’m gonna
more about the Birch and Swinnerton-Dyer Conjecture, P vs NP, more figurate numbers, Hodge conjecture, Yang-Mills existence and mass gap, more about the Mandelbrot Set, Complex Analysis, Lattice Multiplication, miscellaneous numberphile and vihart videos, practical numbers, hilbert numbers, leyland numbers, fibonacci numbers, jacobsthal numbers, pell numbers, pell-lucas numbers, leonardo numbers, perrin numbers, polite numbers, Erdős–Woods numbers, vampire numbers, Recursion and Mafia, Abelian groups and semigroups, noncommutative operations, the 68-95-99.7 rule, fro99er’s first theorem, euler’s perfect equation, goldbach’s conjecture


Mod notes: Today is the 287th day of the year. 7*41.
Last edited by Plotinus on Wed Oct 14, 2015 10:56 am, edited 1 time in total.
The failure mode of clever is asshole.

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Post Post #1400 (isolation #77) » Thu Oct 15, 2015 8:41 am

Post by Plotinus »

Official Vote Count 4.09 Transcendental numbers




Transcendental numbers are numbers that you can’t make using normal algebra.


:!:
MTD
(L-1): Fro99er, DeasVail,
lalaladucks
, JarJarDrinks
DeasVail
(L-3):
JarJarDrinks
, Bellaphant, MTD
Bellaphant
(L-5): lalaladucks


Not Voting
(2): All Alone, Espeonage,

With 8 alive, it takes 5 to lynch.

Deadline: 301st (7*43) day of the year or in (expired on 2015-10-28 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written: :neutral:

Spoiler: Things I haven’t rambled about yet but i’m gonna
more about the Birch and Swinnerton-Dyer Conjecture, P vs NP, more figurate numbers, Hodge conjecture, Yang-Mills existence and mass gap, more about the Mandelbrot Set, Complex Analysis, Lattice Multiplication, miscellaneous numberphile and vihart videos, practical numbers, hilbert numbers, leyland numbers, fibonacci numbers, jacobsthal numbers, pell numbers, pell-lucas numbers, leonardo numbers, perrin numbers, polite numbers, Erdős–Woods numbers, vampire numbers, Recursion and Mafia, Abelian groups and semigroups, noncommutative operations, the 68-95-99.7 rule, fro99er’s first theorem, euler’s perfect equation, goldbach’s conjecture


Mod notes: Today is the 288th day of the year. 25*32.
Last edited by Plotinus on Thu Oct 15, 2015 8:41 am, edited 1 time in total.
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Post Post #1468 (isolation #78) » Thu Oct 15, 2015 5:29 pm

Post by Plotinus »

Official Vote Count 4.0A (Final) Kakeya’s Needle Problem



pretty brand new numberphile video. what’s smallest thing you can turn a needle in. a circle the diameter of the needle? no, smaller.



:!:
MTD
(L-0): Fro99er, DeasVail,
lalaladucks
, JarJarDrinks, Bellaphant
<—LYNCH

JarJarDrinks
(L-4): MTD
DeasVail
(L-5): Bellaphant, MTD


Not Voting
(3): All Alone, Espeonage,
MTD


With 8 alive, it takes 5 to lynch.

Deadline: 301st (7*43) day of the year or in (expired on 2015-10-28 14:00:00).

Let me know if there are any problems with the VC, or if you have maths related flavour requests.

Flavour Queue Written: :neutral:

Spoiler: Things I was gonna ramble about but I didn't
more about the Birch and Swinnerton-Dyer Conjecture, P vs NP, more figurate numbers, Hodge conjecture, Yang-Mills existence and mass gap, more about the Mandelbrot Set, Complex Analysis, Lattice Multiplication, miscellaneous numberphile and vihart videos, practical numbers, hilbert numbers, leyland numbers, fibonacci numbers, jacobsthal numbers, pell numbers, pell-lucas numbers, leonardo numbers, perrin numbers, polite numbers, Erdős–Woods numbers, vampire numbers, Recursion and Mafia, Abelian groups and semigroups, noncommutative operations, the 68-95-99.7 rule, fro99er’s first theorem, euler’s perfect equation, goldbach’s conjecture


Mod notes: Today is the 289th day of the year. 172.
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Post Post #1469 (isolation #79) » Thu Oct 15, 2015 5:38 pm

Post by Plotinus »

9553 is a number I randomly generated just for you because I love you. It has no in game significance, but you know that its prime factors are 3 and 3083, and that if you were 9553 days old you would be just over 18 years old.


6603 is a number I randomly generated just for you because I love you. It has no in game significance, but you know that its prime factors are 3 and 31, and 71, and that if you were 6603 days old you would be just over 25 and a third years old.


2295 is a number I randomly generated just for you because I love you. It has no in game significance, but you know that its prime factors are 3, 5 and 17, and that if you were 2295 days old you would be just over 6 and a quarter years old.


4935 is a number I randomly generated just for you because I love you. It has no in game significance, but you know that its prime factors are 3, 5, 7 and 47, and that if you were 4935 days old you would be just over 13 and a half years old.


9576 is a number I randomly generated just for you because I love you. It has no in game significance, but you know that its prime factors are 2, 3, and 7, and 19, and that if you were 9576 days old you would be almost 25 and a quarter years old.


7387 is a number I randomly generated just for you because I love you. It has no in game significance, but you know that its prime factors are 83 and 89, and that if you were 7387 days old you would be almost 22 and a quarter years old.


9825 is a number I randomly generated just for you because I love you. It has no in game significance, but you know that its prime factors are 3, 5, and 131, and that if you were 9825 days old you would be just over 26 and five sixths years old.



MTD has been lynched! He was a
Mafia goon
! The
Town (Frogger, Bellaphant, Espeonage, Antihero, pirate mollie, All Alone, DeasVail, DeathRowKitty, lalaladucks,
and
JarJarDrinks)
wins! Yay!


MTD's Role PM:

Mafia GoonHello, MTD

You are a
mafia goon
.

Your buddies are BlueBloodedToffee mafia encryptor and wanderer-nl mafia goon. You may talk to each other in this PT.

Night Factional kill
: You have a factional kill. Any of you may submit it by PM or in the PT like so
MTD kills Plotinus
.

During the day, you may vote for players you think are mislynchable and may use your words to convince other players to vote with you. During the night, you may reread the game thread in search of clues for who to nightkill or mislynch tomorrow.

Alignment/win condition
: You are a
mafia
aligned
mafia goon
who can win with the
mafia
, which will happen when the
mafia
equal or outnumber the
town
, or nothing can prevent this from occurring.

Good luck and have fun!

Confirm:
either by PMing me your role, alignment, and the names of your buddies or by posting in your PT

The game thread is here.
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Post Post #1470 (isolation #80) » Thu Oct 15, 2015 6:22 pm

Post by Plotinus »

Role PMs


Spoiler: town Innocent Child
Town Innocent childHello, ducky!

You are a
town Innocent Child.


Special day ability
: Whenever you want, during the day time, send me a PM and I’ll tell everybody that you’re a
town
aligned
innocent child
who can win with the
town
.

During the day, you may vote for players you think are scummy and may use your words to convince other players to vote with you. During the night, you may reread the game thread in search of scumslips you missed during the daytime.

Alignment/win condition
: You are a
town
aligned
innocent child
who can win with the
town
, which will occur when all
threats
to the
town
have been eliminated.

Good luck and have fun!

Confirm:
by PMing me your role and alignment.

The game thread is here.


Spoiler: town 1-shot Bulletproof
Town 1-shot BulletproofHello, DeasVail

You are a
Town 1-shot Bulletproof
.

Night special passive ability
: During the night phase, the first time someone tries to kill you, you won’t die. You will not be told when your bulletproof vest is used up.

During the day, you may vote for players you think are scummy and may use your words to convince other players to vote with you. During the night, you may reread the game thread in search of scumslips you missed during the daytime.

Alignment/win condition
: You are a
town
aligned
1-shot bulletproof
who can win with the
town
, which will occur when all
threats
to the
town
have been eliminated.

Good luck and have fun!

Confirm:
by PMing me your role and alignment

The game thread is here.


Spoiler: town Roleblocker
Town RoleblockerHello, All Alone

You are a
Town Roleblocker
.

Night special active ability
: During the night phase, PM me the name of a player you want to roleblock. Their night actions won’t work if they have them.

During the day, you may vote for players you think are scummy and may use your words to convince other players to vote with you. During the night, you may reread the game thread in search of scumslips you missed during the daytime.

Alignment/win condition
: You are a
town
aligned
roleblocker
who can win with the
town
, which will occur when all
threats
to the
town
have been eliminated.

Good luck and have fun!

Confirm:
by PMing me your role and alignment

The game thread is here.


Spoiler: town Jack of All Trades
Town Jack of All TradesHello, Bellaphant

You are a
Town Jack of All Trades
.

Night special active abilities
: You have four abilities to choose from, cop, vig, neighbouriser, and role blocker. During the night phase, you may PM me which ability you wish to use and which player you wish to use it on. you may not self target. Once you have used an ability, you may not use it again for the rest of the game (all of your abilities are 1 shot).

  1. Cop
    - Find out whether a player can win with the town or not “
    can win with the town
    ” / “
    cannot win with the town
    /
    no result
    ”.
  2. Vigilante
    - Kill a player, hopefully a non town player.
  3. Neighbouriser
    - You will get a private topic to talk with this player for the rest of the game. You will have day talk.
  4. Roleblocker
    - You will prevent this player from taking any night actions that night if they have them.


During the day, you may vote for players you think are scummy and may use your words to convince other players to vote with you. During the night, you may reread the game thread in search of scumslips you missed during the daytime.

Alignment/win condition
: You are a
town
aligned
jack of all trades
who can win with the
town
, which will occur when all
threats
to the
town
have been eliminated.

Good luck and have fun!

Confirm:
by PMing me your role and alignment

The game thread is here.


Spoiler: town Vanilla Townie (anti, jarjar, mollie, espy, drk, sithlord/froggy)
Town Vanilla TownieHello, XXXX

You are a
town Vanilla Townie
.

During the day, you may vote for players you think are scummy and may use your words to convince other players to vote with you. During the night, you may reread the game thread in search of scumslips you missed during the daytime.

Alignment/win condition
: You are a
town
aligned
vanilla townie
who can win with the
town
, which will occur when all
threats
to the
town
have been eliminated.

Good luck and have fun!

Confirm:
by PMing me your role and alignment

The game thread is here.


Spoiler: Mafia Encryptor
Mafia EncryptorHello, BBT

You are a
Mafia Encryptor
.

Your buddies are MTD mafia goon and Wanderer-nl mafia goon. You may talk to each other in
this PT
.

Night Factional kill
: You have a factional kill. Any of you may submit it by PM or in the PT like so
BBT kills Plotinus
.

Day special passive ability
: During the day phase, while you are alive, your buddies and yourself have day talk. After you die, your buddies can only talk during the night time.

During the day, you may vote for players you think are mislynchable and may use your words to convince other players to vote with you. During the night, you may reread the game thread in search of clues for who to nightkill or mislynch tomorrow.

Alignment/win condition
: You are a
mafia
aligned
mafia encryptor
who can win with the
mafia
, which will happen when the
mafia
equal or outnumber the
town
, or nothing can prevent this from occurring.

Good luck and have fun!

Confirm:
either by PMing me your role, alignment, and the names of your buddies or by posting in your PT

The game thread is here.


Spoiler: Mafia Goon (wanderer, mtd)
Mafia GoonHello, XXXX

You are a
mafia goon
.

Your buddies are BlueBloodedToffee mafia encryptor and YYYY mafia goon. You may talk to each other in
this PT
.

Night Factional kill
: You have a factional kill. Any of you may submit it by PM or in the PT like so
Wanderer kills Plotinus
.

During the day, you may vote for players you think are mislynchable and may use your words to convince other players to vote with you. During the night, you may reread the game thread in search of clues for who to nightkill or mislynch tomorrow.

Alignment/win condition
: You are a
mafia
aligned
mafia goon
who can win with the
mafia
, which will happen when the
mafia
equal or outnumber the
town
, or nothing can prevent this from occurring.

Good luck and have fun!

Confirm:
either by PMing me your role, alignment, and the names of your buddies or by posting in your PT

The game thread is here.


Links:



Night actions:

Night 1:
Wanderer kills DeasVails (fails, bulletproof)
All Alone roleblocks BlueBloodedToffee (success, but BBT wasn't doing anything)
Bella cops fro99er (success,
fro99er can win with the town
)

Night 2:
Bella roleblocks JarJarSmokesWeed (fails because roleblocked, but he wasn't doing anything anyway)
All Alone roleblocks Bella (success, but doesn't really affect anything)
MTD kills Antihero (success, dies)

Night 3:
MTD kills DRK (success, dies)
Bella neighbourisers fro99er (success)
All Alone roleblocks DRK (success, but they were doing nothing)


Mod notes:


You guys are awesome and I love all of you! It was tremendous fun watching you guys play and it helped give me enthusiasm back for my own game at a time when I was feeling a bit burnt out on playing mafia myself. Aside from the 1, essentially pre-game replacement of SithLord who confirmed but never picked up the day 1 start PM, you guys all stayed with me from the beginning and I appreciate that a lot!

Thank you to
Panther
,
pistachi0n
,
goodmorning
,
herrcombs
, and
mala
for joining in my replacement queue and I'm sorry you guys didn't get to play!

Froggyfrog
, thanks for replacing in! You played really well and I loved your silliness. I liked the way you responded to DV after you'd been so excited about your plan and found a way to work together with the town and explain your ideas to other people in the end.

Bella
, you're great and I'm really glad you neighbourised frogger. I'm sorry I couldn't have made you scum but maybe next time! I was also impressed that you held back your vig shot, which I felt was the protown thing to do, to wait until later when you were sure and had stronger reads, because when balancing it I was pretty sure the vig would just shoot town night 1. You didn't; you used your head.

Espy
, you're so awesome and I'm glad you joined this. I like your playstyle.

Anti
, you're awesome and thank you for posting twilight/harry potter fanfic to help me get to page tops and for playing in my game even though you had to solo. Your reads were really good and it was really fun having you.

Bubbletea
, it was really impressive watching you play and keep trying even as one thing went wrong after another. I would have probably given up long before you did, but you were a really good sport about it. You guys got really unlucky night1 with the combination of hitting DV's bulletproof and all alone roleblocking scum who didn't do the kill, but even after that there were moments where I thought you might pull it off anyway. You played really well.

Wanderer-nl
, same goes to you. It was great having you and I loved watching you play.

pirate mollie
, I'm really sorry you didn't have fun in this game and I wish it could have been fun for you.

All Alone
, I am seriously impressed with you. You have really good scumdar and good reads and you're one of the best people who could have got the role of roleblocker. I think people underestimate you because of your low postcount playstyle and recent join date, use that to your advantage :]

DeasVail
, it was great getting to know you and watching you play. You're really good at looking town and it was really clever how you played bulletproof on day 1. The scumteam thought you were crumbing doc with your comments to mollie so I was surprised when you said masons with JarJar but I could see that too when I went back and looked. Either way it was really great! I loved your sense of humour also. You're great!

MTD
, I really appreciate how you stuck it through to the end because I would have 100% started twilight trolling before I even got to L-1. You were in an unwinnable position but you kept trying anyway and that's impressive.

DRK
, you are so great and I wanted to edit <3 into all of your maths posts and wanted to ramble at you about mathematics everytime you posted but I couldn't because I was the mod but you were great and I love the way you write and think.

ducky
, you were probably the best person who could have been innocent child. I loved your silliness this game and giving everyone fun names and you managed to look pushable throughout the whole game and keep the scumteam thinking they could push your lynch without looking so scummy that they'd push you day1/2 and force you to reveal sooner than neccessary. You did great!

JarJar
, this was your first game out of Rome and I feel like it may have been a difficult one since almost everybody else already knew everybody else and you were kinda by yourself which is a hard situation to be in, but in spite of that you managed to be really active and shared your ideas with people and I think you did really well. Thanks for sticking with it and I feel like your play improved a lot over the course of the game. It was a pleasure watching you play and I wish you luck in your future games!

Coming up next:

Probably my everybody's a bodyguard setup in the micro queue with "Slavic songs i like" for flavour and my "Get a Room" mechanic tacked onto it (basically if 2 people are having or need to have a discussion that nobody else cares about they can be told to get a room and are given a neighbourhood to work out their differences in + 48 hour post restriction that they can't talk to or about each other in the thread.)


Thanks for playing everyone <3
Last edited by Plotinus on Fri Oct 16, 2015 4:59 am, edited 3 times in total.
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Post Post #1472 (isolation #81) » Thu Oct 15, 2015 6:59 pm

Post by Plotinus »

I was so close to meeting my win condition but I only got pagetop 29/59 times. I could have won with the town, I just needed at least 50% of the pagetops.
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Post Post #1474 (isolation #82) » Thu Oct 15, 2015 7:15 pm

Post by Plotinus »

In post 1473, DeathRowKitty wrote:29/59 page tops is pretty ridiculous. You should get credited with a win anyway.

Right. So which game is this again?


This game is number mafia!
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Post Post #1475 (isolation #83) » Thu Oct 15, 2015 7:16 pm

Post by Plotinus »



PAGETOP 30/60
Last edited by Plotinus on Thu Oct 15, 2015 7:17 pm, edited 1 time in total.
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Post Post #1478 (isolation #84) » Thu Oct 15, 2015 7:19 pm

Post by Plotinus »

you were great DRK. I know you were a bit lost this game but I really liked all of your posts. <3
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Post Post #1487 (isolation #85) » Thu Oct 15, 2015 7:31 pm

Post by Plotinus »

<3 you would have made the dead thread fun but instead you got to make the living thread fun.
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Post Post #1489 (isolation #86) » Thu Oct 15, 2015 7:38 pm

Post by Plotinus »

And the neighbour thread!
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Post Post #1497 (isolation #87) » Thu Oct 15, 2015 10:33 pm

Post by Plotinus »

I edited the night actions into . Forgot to include them earlier.



*hugs MTD* I wish it could have been more fun for you. Thanks for coming out of retirement for me <3
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Post Post #1498 (isolation #88) » Thu Oct 15, 2015 10:37 pm

Post by Plotinus »

*Snuggles everybody*
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Post Post #1499 (isolation #89) » Thu Oct 15, 2015 10:37 pm

Post by Plotinus »

*Cuddles everybody*
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Post Post #1500 (isolation #90) » Thu Oct 15, 2015 10:37 pm

Post by Plotinus »

31/61 PAGETOP

I LOVE EVERYBODY THANKS FOR PLAYING IN MY GAME <3

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Post Post #1505 (isolation #91) » Fri Oct 16, 2015 3:45 am

Post by Plotinus »

you scumread wanderer and bbt early on. you didn't mention mtd but he was mostly absent. and you were killed early.
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Post Post #1507 (isolation #92) » Fri Oct 16, 2015 3:51 am

Post by Plotinus »

<3
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Post Post #1513 (isolation #93) » Fri Oct 16, 2015 4:58 am

Post by Plotinus »

Here it is: http://forum.mafiascum.net/viewtopic.php?f=90&t=63444

I continued using the black background because my mod colour was hard to read against the purple but if mollie wants i can go through and edit it out.
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Post Post #1520 (isolation #94) » Mon Oct 19, 2015 2:56 am

Post by Plotinus »

My mini normal review is open for you guys to see now: http://forum.mafiascum.net/viewtopic.php?f=90&t=63248
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Post Post #1522 (isolation #95) » Mon Oct 19, 2015 10:52 pm

Post by Plotinus »

i agree.
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Post Post #1527 (isolation #96) » Mon Oct 19, 2015 10:55 pm

Post by Plotinus »

teehee. i'm at 31/62 now. 50% exactly. (but i'm not sure the postgame ones count so 29/59 is the final number)
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Post Post #1529 (isolation #97) » Tue Oct 20, 2015 3:55 am

Post by Plotinus »

it's ok :) <3
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