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Another interesting triangle variant would be board, consisting of several suares, and each square consist of 4 triangles, and each triangle is playing space. I have not thought about pieces for such board yet, but idea is interesting.

Another close eqivalent of standart chess: bishop is same, rook moves as spire ( http://www.chessvariants.org/index/msdisplay.php?itemid=MSdelta88chess ), knight moves as compound of my knight and ninja. Other pieces are based on them.

Actually, there is infinitive number of possible triangle tesselation: any polygon can be divided into triangles (number of triangles is same as number of i's sides). In all triangle variants i know this polygon is hexagon, in tesselation i suggested, it's rectangle. And large triangles, composed of triangular cells can be arranged in same ways as cells. But there are two most interesting tessellations, i see: the own that i described before and 3 triangles arranged in one large triangle, 3 such large triangles are arranged into larger triangle, and so on (it should have 27 or 81 cells).

(I) Infinite the tesselations there are whatever the chosen polygon, Frolov said the last comment. Yet equilateral triangle is the right root expression. Just as OrthoChess is/has been square of squares, so it could be better equilateral of equilaterals, http://www.chessvariants.org/index/displaycomment.php?commentid=25264. [ChessboardMath12 has 18 comments, so this one . is put here of variety.] Drawn to left is 3x3x3 or 3^2 . . in adaptable notation. The sizes correspond squares to . . . triangles: 9,16,25,36,49,64,81,100.... Square is 10x10 . . . . and triangle is 10x10x10 in 2-d. As Frolov intimates, __*Classical Tetraktys at left above*__ which is more fundamental, square or triangle? Which is the portal out of dark forbidding one-dim to two-dim? Must not even superior Mayans have triangulated to achieve the 26000 earthly precession cycle accurately? How many fundamental pieces are there in more perfect triangles, regularly equiangular pi/3? Three (which suggests fundamental pieces equal number of sides in any uniform tesselation, for follow-up, 3 -> 3; 4->4...) (II) Restrictive term 'triangulate' means something different in Chess play itself of course. All OrthoChess so far knows is that King or Queen triangulate, return in three, but variantists discover others. Now as sounding irony, natural basic triangular omni-Pawn, moving/capturing through side, on 8^3 or 9^3 or any of them, is unable to ''triangulate.'' The Pawn (who travels like Frolov's Rook here one-stepping) can neither quadrangulate nor quintangulate. Once that (Centennial Chess Steward-like) Pawn steps from his triangle, he can only circumnavigate in six. Far more likely if he returns, it is a backstep not an hexangulation. http://www.chessvariants.org/index/displaycomment.php?commentid=25264

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Missing description(8x8, Cells: 64) [All Comments] [Add Comment or Rating]