Chess
Puzzles
- bishop.tourWhat is the smallest number of moves in which a bishop, starting where he chooses, can visit (pass into or... New
- consecutive.checksFind the maximum number of consecutive checks from a legal chess position. New
- fools.mateWhat is the fastest theoretical way to get checkmate from the opening position? New
- impossible.pawnsAdd two black pawns to this position to form an illegal position that becomes legal on the removal of either one of them. New
- king.longest.tourWhat is the longest possible closed path of a chess king on the chessboard that does not cross itself? New
- knight.controlHow many knights does it take to attack or control the board? Added material
- knight.exchangeTwo sets of three knights (one set black, the other white) are placed at opposite ends of a 3x4 board:
- knight.mostWhat is the maximum number of knights that can be put on n x n chessboard without threatening each other?
- knight.tourFor what size boards are knight tours possible? Added material
- knight.tour.any.startA blindfolded performer moves a knight to every square of a chessboard, landing on no square twice,... New, unsolved
- modular.queens1. For what integers n>=1 is it possible to place n queens on an nxn chessboard such that every row, every... New, unsolved
- mutual.castlingWhite to mate in 2 (A. New
- mutual.stalemateWhat's the minimal number of pieces in a legal mutual stalemate? Added material
- nonattacking.rooksHow many ways are there to place n rooks on an n x n chessboard so that no rook attacks another? New
- queen.controlHow many queens does it take to attack or control the board?
- queen.dispositionsHow many different dispositions (up to rotation and reflection of the board) are there of K queens on an N... New
- queen.mostHow many non-mutually-attacking queens can be placed on various sized boards?
- queen.placementsHow many different ways (not counting rotations and reflections of the board as different) can K queens be... New
- queensHow many ways can eight queens be placed so that they control the board? Added material
- queens.unattackedHow should N queens be placed on an N x N board to leave the maximum number of unattacked vacant squares? New
- rook.pathsHow many non-overlapping paths can a rook take from one corner to the opposite on an MxN chess board? Added material
- rooks.3d.mateIn three-dimensional chess, how few rooks are needed to checkmate a lone king? New
- shogi.piecesHow many dragons (rook plus king) and how many horses (bishop plus king) can be placed on a 9x9 Shogi board... New
- shortest.stalemateWhat are the shortest chess games, from the initial position, that end in stalemate, with captures allowed... New
- sixteen.nonattackingIs there any way to place all 16 chess pieces of one color on a board such that none are attacking each other? New
- size.of.game.treeHow many different positions are there in the game tree of chess? Added material
- stalemate.movesBlack is in a stalemate position. New
- underpromotionCan a situation exist in which the only correct move is to move a Pawn to the eighth rank and promote it to a Rook? New