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 Urbit for mathematicians  Complex Projective 4Space on A curious construction of the Mathieu group M11
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Category Archives: Chess
The neural network of the Stockfish chess engine
Last time, we briefly mentioned the highlevel differences between Stockfish and Leela Chess. To recap, Stockfish evaluates about 100 million positions per second using rudimentary heuristics, whereas Leela Chess evaluates 40 000 positions per second using a deep neural network … Continue reading
Posted in Chess
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Most difficult chess problem
Neil Bickford has exhaustively searched the space of 5 × 4 slidingblock puzzles* to determine the one with the longest minimal solution. The unique result, which requires a whopping 235 moves, happens to be Bob Henderson’s Gauntlet puzzle: *subject to the … Continue reading
Posted in Chess
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3D chess is Turingcomplete
As promised, here is the remainder of the proof of the Turingcompleteness of threedimensional chess. In the first part, we introduced the rules; in the second part, we built structures to function as logic gates and wires. Counter machines Instead of … Continue reading
Posted in Chess
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Circuitry in 3D chess
This is the second of a projected threepart series of articles, which will ultimately prove the Turingcompleteness of threedimensional chess. In the first article, I described the basic rules of the game. In this article, I shall show how to … Continue reading
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Threedimensional chess
This is the first of a projected series of articles investigating a natural threedimensional generalisation of chess. In the first article, I’ll briefly describe the rules and mention previous research in this area. The second article will show how to create a linearbounded … Continue reading
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