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Tiling rectangles with holey polyominoes

2014/11/11 by Dmitry Kamenetsky, Kamenetsky, Dmitry, Tristrom Cooke +1
Engineering · Materials Science · #Advanced Materials and Mechanics #Quasicrystal Structures and Properties #Liquid Crystal Research Advancements

paper · pdf · doi:10.48550/arxiv.1411.2699

Abstract

We present a new type of polyominoes that can have transparent squares (holes). We show how these polyominoes can tile rectangles and we categorise them according to their tiling ability. We were able to categorise all but 6 polyominoes with 5 or fewer visible squares.

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