Shape tiling (Q1378550)
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scientific article; zbMATH DE number 1118079
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Shape tiling |
scientific article; zbMATH DE number 1118079 |
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Shape tiling (English)
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15 February 1998
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Summary: Given a list \(1\times1, 1\times a, 1\times b, \dots, 1\times c\) of rectangles, with \(a,b,\dots,c\) non-negative, when can \(1\times{t}\) be tiled by positive and negative copies of rectangles which are similar (uniform scaling) to those in the list? We prove that such a tiling exists iff \(t\) is in the field \(\mathbb{Q} (a,b,\dots,c)\).
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