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Pentominoes

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Description: Expository paper by R. Bhat and A. Fletcher. Covers pre-Golomb discoveries. the triplication problem and other aspects.
By: Rashmi Bhat & Audrey Fletcher Pentominoes are said to have been "invented" by Solomon W. Golomb in 1953 at a talk he gave to the Harvard Mathematics Club. Although he coined the name, pentominoes have been around since a much earlier time. The first pentomino problem, written by the great English inventor of puzzles, Henry Ernest Dudeny, was published in 1907 in the Canterbury Puzzles. The observation that there are twelve distinctive patterns that can be formed by five connected stones on a Go board (an ancient chinese game which later spread to Japan, played by placing black and white stone markers on a board) is attributed to an ancient master of that game. Also, under the heading of "dissection problems," extensive literature on the subject appeared in the 1930s and 1940s in the Fairy Chess Review, a British puzzle journal. Nevertheless, a year after it had been delivered, Solomon Golomb's Harvard talk was published in American Mathematical Monthly; the reprinting of some of this material in the May 1957 issue of Scientific American brought pentominoes to the attention of a vast reading public.
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