Polyominoes in the context of Square tiling


Polyominoes in the context of Square tiling

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⭐ Core Definition: Polyominoes

A polyomino is a plane geometric figure, connected, formed by joining a finite number of unit squares edge-to-edge. It is a polyform whose cells are squares. It may be regarded as a finite and connected subset of the regular square tiling.

Polyominoes have been used in popular puzzles since at least 1907, and the enumeration of pentominoes is dated to antiquity. Many results with the pieces made of 1 to 6 squares were first published in Fairy Chess Review between the years 1937 and 1957, under the name of "dissection problems." The name polyomino was invented by Solomon W. Golomb in 1953, and it was popularized by Martin Gardner in a November 1960 "Mathematical Games" column in Scientific American.

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Polyominoes in the context of Blokus

Blokus (/ˈblɒkəs/ BLOK-əs) is an abstract strategy board game for two to four players, where players try to score points by occupying most of the board with pieces of their colour. The board is a square regular grid and the pieces are polyominoes. It was designed by French mathematician Bernard Tavitian and first released in 2000 by Sekkoïa, a French company. It has won several awards, including the Mensa Select award and the 2004 Teacher's Choice Award. In 2009, the game was sold to Mattel.

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Polyominoes in the context of Fairy Chess Review

Fairy Chess Review (FCR) was a magazine that was devoted principally to fairy chess problems, but also included extensive original results on related questions in mathematical recreations, such as knight's tours and polyominoes (under the title of "dissections"), and chess-related word puzzles. It appeared six times per year and nine volumes were published, from 1930 to 1958.

Although they are often referred to under the title Fairy Chess Review, the first two volumes (August 1930 to June 1936) in fact bore the title The Problemist Fairy Chess Supplement. These were published by the British Chess Problem Society (BCPS) as an offshoot of their magazine The Problemist which began in 1926. The first two volumes were supported financially by the Falmouth businessman Charles Masson Fox who was also a problemist, who died in 1936.

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