Somehow, it got worse
I didn't think it could. I though hypertoroidal chess was as bad as it got. I was wrong. I was so, so, so wrong.
This, is a 2D 4-player chess board. The way its constructed is by taking the furthest edges of each direction, and extruding an (n-1) dimensional slice in the extreme direction of choice.
Behold, a 4D multiplayer Chess board.
Now the number of players is dependent on the layout, and how you place the pieces. Now the number of players is dependent on the layout, and how you place the pieces.
This configuration, has 8 players: {+x, -x, +y, -y, +z, -z, +w, -w} playing red, green, white, black, orange, blue, yellow, purple, respectively. This means that each player has one "forward" direction which brings them to their immediate rival. okay well, there are definitely some sign errors in there but you get the point. Below, we have a different version that only has 4 players.
They are {+xz, -xz, +yw, -yw} playing red, green, white, black, respectively. Finally 4 players also allows for a fun multiverse time travel quirk. We can add a whole new multiversal dimension!
So in this timeline pictured, the turn order is white -> black -> red -> green. When white or black travel back in time, the new timeline splits off horizontally. When red or green travel back in time, the multiverse splits off vertically. This is officially the worst variant i think i've ever dreamed up. Well, hypertoroidal time travel chess might legitimately be worse. Technically neither is implemented, but this has unique ramifications for check and check mate detection that i'd... rather not think about so late at night. Enjoy my new monstrosity c:











