Keywords: chess torus strategy game algorithm tactics ai boardgame nature life timeline wolfram language wolframlanguage non-zero-sum game nonzerosumgame glass chess glasschess blind chess blindchess solved game solvedgame brute force solving bruteforcesolving perfect play perfectplay game theory gametheory chess variant chessvariant forsyth–edwards notation forsyth–edwardsnotation toroidal chess toroidalchess 8x16x64t 8x14x48t 8x8x32s 8x8x32c polymethylmethacrylate pmma lexan polycarbonate photo border collection text indoor pattern Solving a game means providing a perfect play algorithm from any position, i.e. finding an optimal strategy by which one player can always force a victory or all players can force a draw. No complete solution for 8x8x32 standard chess is currently known, nor is it expected that it will be solved in the near future. There is disagreement on whether the current exponential growth of computing power will continue long enough to someday allow for solving it by brute force, i.e. by checking all possibilities. FEN₀: 8x16x64T: 8/8/pppppppp/rnbaabnr/rnbakbnr/pppppppp/8/8/8/8/PPPPPPPP/RNBAKBNR/RNBAABNR/PPPPPPPP/8/8 w KAka - 0 1 8x14x48T: 8/8/pppppppp/rnbakbnr/pppppppp/8/8/8/8/PPPPPPPP/RNBAKBNR/PPPPPPPP/8/8 w KAka - 0 1 8x8x32S/C: rnbqkbnr/pppppppp/8/8/8/8/PPPPPPPP/RNBQKBNR w KQkq - 0 1 [A = Q + N; a = q + n] [● (b) = matte (frosted, opaque); ○ (w) = gloss (clear, lucid)] en.lichess.org Solving a game means providing a perfect play algorithm from any position, i.e. finding an optimal strategy by which one player can always force a victory or all players can force a draw. No complete solution for 8x8x32 standard chess is currently known, nor is it expected that it will be solved in the near future. There is disagreement on whether the current exponential growth of computing power will continue long enough to someday allow for solving it by brute force, i.e. by checking all possibilities. FEN₀: 8x16x64T: 8/8/pppppppp/rnbaabnr/rnbakbnr/pppppppp/8/8/8/8/PPPPPPPP/RNBAKBNR/RNBAABNR/PPPPPPPP/8/8 w KAka - 0 1 8x14x48T: 8/8/pppppppp/rnbakbnr/pppppppp/8/8/8/8/PPPPPPPP/RNBAKBNR/PPPPPPPP/8/8 w KAka - 0 1 8x8x32S/C: rnbqkbnr/pppppppp/8/8/8/8/PPPPPPPP/RNBQKBNR w KQkq - 0 1 [A = Q + N; a = q + n] [● (b) = matte (frosted, opaque); ○ (w) = gloss (clear, lucid)] en.lichess.org |