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Tiling a Manhattan Polyomino with Bars

✍ Scribed by Olivier Bodini


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
150 KB
Volume
10
Category
Article
ISSN
1571-0653

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The problem of finding polyominoes that tile rectangles has attracted a lot of attention; see [1] for an overview, and [2, 3] for more recent results. Several general families of such polyominoes are known, but sporadic examples seem to be scarce. Marshall [2, Fig. 9] gives a polyomino of rectangula

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In the second edition of Golomb's classic ``Polyominoes'' [9], several infinite families of rectifiable polyominoes are given, but only nine sporadic examples are known. Curiously, two of these sporadic examples are related by a 2\_1 affine transformation (Fig. 1). This led us to consider the image