Mafiascum.net

The idea is to play Chess by taking turns following the Thue-Morse sequence.
The wiki page can be found here, as can a Matt Parker video on the Thue-Morse sequence:
[YOUTUBE LINK]

An example of how this works this:
A = Player 1
B = Player 2

A goes first and moves 1 white piece.
B then goes second, and moves 1 black piece.
B then goes third, and moves a white piece.
A then gets their turn, and moves a black piece.
B goes next, and moves a white piece.
etc.

The goal of the game is to put the opponent in checkmate on their turn. If you accidentally put yourself into checkmate while it's your turn, then you lose.

I'll take whoever wants to play.

This sounds like a huge mess. I'm in.

1: I go first with white
2: You go first with white

Guess I'll just make both my moves at once?

d4 c5 d5

I have no idea what constitutes a "good" move under these rules

I'm assuming you meant Nc3 rather than Kc3 on that last one...

1. d4 c5 2. d5 Qa5+ 3. b4 Qb4 4. Nc3 e5 5. Kd2