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Manuel Hohmann wrote on Sat, Mar 2 06:59 PM UTC in reply to Florin Lupusoru from 04:27 PM:

Are you sure that is the shape of space?

In case you are referring to the title of the page: I put this because this is the title of the book in which it can be found (I have a copy of the third edition), to distinguish it from other torus chess variants, and it is also cited as the source on Wikipedia (German only):

http://de.wikipedia.org/wiki/Toroidales_Schach

I don't know how that is possible in the real world. Maybe a diagram can help solving this mystery.

Good point. Actually that same Wikipedia page even has a real world picture:

http://de.wikipedia.org/wiki/Datei:Toroidal_chessboard.jpg

I can also try to make a 3D drawing (I have already made similar ones of different setups). An alternative (which is easier to draw, but less "real world" like) is to imagine an infinite plane of chessboards glued to each other on all sides, where pieces move on all of them simultaneously and may cross the boundary to adjacent boards, as if they were one board.

Or would it be helpful to create move diagrams for the different pieces?


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