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I think the idea of generalizing chess to non-standard tessellations is an interesting one. How does one play chess on a Penrose tile tessellation, for example? Unlike Go or <A href=http://arimaa.com/arimaa/>Arimaa</A>, where the tesselation can change without otherwise changing the rules (<A href=http://www.di.fc.ul.pt/~jpn/gv/boards.htm>see here</A>, for example), a new tessellation of chess requires a new set of moves for the pieces. <p> One interesting game is <A href=http://www.chessvariants.org/shape.dir/parachess.html>parachess</A>, which uses an interesting tessellation to play chess with. <p> Even the triangle tessellation is pretty rare, such as with <A href= http://www.chessvariants.org/shape.dir/klinzha/klinzha.html>Klin Zha</A> and <A href=http://www.chessvariants.org/44.dir/sankaku-shogi.html>Sankaku Shogi</A> (Thanks, Mr. Howe, for pointing these out). Of course, <A href=http://www.chessvariants.org/38.dir/crazy/crazy38s.html>crazy 38s</A> uses a somewhat different tessellation. <p> Does anyone know any other chess variants that use non-standard (read: non-square and non-hex) tesellations?