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Article Title

A New Pentomino Puzzle

Abstract

Polyominoes -- the many different shapes of dominoes having three or more faces -- were introduced to recreational mathematics by Solomon Golomb in 1954. Since then, they have been extensively investigated; many of their mathematical properties are discussed in Golomb's Polyominoes (Scribner's, 1962). Perhaps the most interesting polyominoes are the 12 distinct pentominoes -- all the possible shapes of dominoes having exactly five faces. There are many ways in which the pentominoes can be assembled to form rectangles of size 3 x 20, 4 x 15, 5 x 12 and 6 x 10.

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