Chess on a torus

8 × 8 variant (standard pieces)

For a torus, opposing edges of the board are glued to each other.

h1 a1 b1 c1 d1 e1 f1 g1 h1 a1
h8 a8 b8 c8 d8 e8 f8 g8 h8 a8
h7 a7 b7 c7 d7 e7 f7 g7 h7 a7
h6 a6 b6 c6 d6 e6 f6 g6 h6 a6
h5 a5 b5 c5 d5 e5 f5 g5 h5 a5
h4 a4 b4 c4 d4 e4 f4 g4 h4 a4
h3 a3 b3 c3 d3 e3 f3 g3 h3 a3
h2 a2 b2 c2 d2 e2 f2 g2 h2 a2
h1 a1 b1 c1 d1 e1 f1 g1 h1 a1
h8 a8 b8 c8 d8 e8 f8 g8 h8 a8

In order to avoid putting both kings in check in the initial position, a different starting position has been suggested.

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8 × 8 variant (modified pawns)

Also here the board is the same as for the previous variant.

h1 a1 b1 c1 d1 e1 f1 g1 h1 a1
h8 a8 b8 c8 d8 e8 f8 g8 h8 a8
h7 a7 b7 c7 d7 e7 f7 g7 h7 a7
h6 a6 b6 c6 d6 e6 f6 g6 h6 a6
h5 a5 b5 c5 d5 e5 f5 g5 h5 a5
h4 a4 b4 c4 d4 e4 f4 g4 h4 a4
h3 a3 b3 c3 d3 e3 f3 g3 h3 a3
h2 a2 b2 c2 d2 e2 f2 g2 h2 a2
h1 a1 b1 c1 d1 e1 f1 g1 h1 a1
h8 a8 b8 c8 d8 e8 f8 g8 h8 a8

This version uses a different starting position, there is no castling, pawns step orthogonally in any direction or capture diagonally in any direction and are not promoted.

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8 × 14 variant

This variant uses a larger board with a more standard starting position.

h12 a12 b12 c12 d12 e12 f12 g12 h12 a12
h11 a11 b11 c11 d11 e11 f11 g11 h11 a11
h10 a10 b10 c10 d10 e10 f10 g10 h10 a10
h9 a9 b9 c9 d9 e9 f9 g9 h9 a9
h8 a8 b8 c8 d8 e8 f8 g8 h8 a8
h7 a7 b7 c7 d7 e7 f7 g7 h7 a7
h6 a6 b6 c6 d6 e6 f6 g6 h6 a6
h5 a5 b5 c5 d5 e5 f5 g5 h5 a5
h4 a4 b4 c4 d4 e4 f4 g4 h4 a4
h3 a3 b3 c3 d3 e3 f3 g3 h3 a3
h2 a2 b2 c2 d2 e2 f2 g2 h2 a2
h1 a1 b1 c1 d1 e1 f1 g1 h1 a1
h14 a14 b14 c14 d14 e14 f14 g14 h14 a14
h13 a13 b13 c13 d13 e13 f13 g13 h13 a13
h12 a12 b12 c12 d12 e12 f12 g12 h12 a12
h11 a11 b11 c11 d11 e11 f11 g11 h11 a11

Here the pieces of each player are flanked by a line of pawns on either side. Pawns always move away from their friendly pieces towards the opponent, where they are promoted.

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8 × 16 variant

This variant uses an even larger board.

h12 a12 b12 c12 d12 e12 f12 g12 h12 a12
h11 a11 b11 c11 d11 e11 f11 g11 h11 a11
h10 a10 b10 c10 d10 e10 f10 g10 h10 a10
h9 a9 b9 c9 d9 e9 f9 g9 h9 a9
h8 a8 b8 c8 d8 e8 f8 g8 h8 a8
h7 a7 b7 c7 d7 e7 f7 g7 h7 a7
h6 a6 b6 c6 d6 e6 f6 g6 h6 a6
h5 a5 b5 c5 d5 e5 f5 g5 h5 a5
h4 a4 b4 c4 d4 e4 f4 g4 h4 a4
h3 a3 b3 c3 d3 e3 f3 g3 h3 a3
h2 a2 b2 c2 d2 e2 f2 g2 h2 a2
h1 a1 b1 c1 d1 e1 f1 g1 h1 a1
h14 a14 b14 c14 d14 e14 f14 g14 h14 a14
h13 a13 b13 c13 d13 e13 f13 g13 h13 a13
h12 a12 b12 c12 d12 e12 f12 g12 h12 a12
h11 a11 b11 c11 d11 e11 f11 g11 h11 a11

Here not only pawns are doubled, but also other pieces, except for the king. As an extra piece, the general (knight + queen) is introduced. Pawns always move away from their friendly pieces towards the opponent, where they are promoted.

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