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A chess problem, also called a chess composition, is a puzzle set by the composer using chess pieces on a chess board, which presents the solver with a particular task.For instance, a position may be given with the instruction that White is to move first, and checkmate Black in two moves against any possible defence.
The first problem is a normal helpmate; the second starts from the same position but has White moving first and helping Black to checkmate him. Again, duplex problems have been composed with other types of problems, but the vast majority are helpmates. To the right is an example by Milan Vukcevich (from CHM avec 6 pieces Bad Pyrmont, 1996).
A mathematical chess problem is a mathematical problem which is formulated using a chessboard and chess pieces. These problems belong to recreational mathematics . The most well-known problems of this kind are the eight queens puzzle and the knight's tour problem, which have connection to graph theory and combinatorics .
The eight queens puzzle is the problem of placing eight chess queens on an 8×8 chessboard so that no two queens threaten each other; thus, a solution requires that no two queens share the same row, column, or diagonal. There are 92 solutions. The problem was first posed in the mid-19th century.
Download as PDF; Printable version; In other projects Wikimedia Commons; ... Help. Pages in category "Mathematical chess problems" The following 18 pages are in this ...
Loyd had a friend who was willing to wager that he could always find the piece which delivered the principal mate of a chess problem. Loyd composed this problem as a joke and bet his friend dinner that he could not pick a piece that didn't give mate in the main line (his friend immediately identified the pawn on b2 as being the least likely to deliver mate), and when the problem was published ...
A seriesmover is a chess problem in which one side makes a series of legal moves without reply at the end of which the other side makes a single move, giving checkmate or yielding stalemate, depending on the precise stipulation. [1] Checks cannot be given except on the last move of the series. There are various types of seriesmover:
A variant first described by Claude Shannon provides an argument about the game-theoretic value of chess: he proposes allowing the move of “pass”. In this variant, it is provable with a strategy stealing argument that the first player has at least a draw thus: if the first player has a winning move in the initial position, let him play it, else pass.