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Results tagged with tiling
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user 26522
For questions about mathematical tiling.
34
votes
Can a unit square be cut into rectangles that tile a rectangle with irrational sides?
No. It is a famous problem. Suppose it were possible to cut the unit square into finitely many rectangles of sizes $a_i \times b_i$. This means that we have a decomposition $1 \otimes 1 = \sum_i a_i \ …
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