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Results tagged with tiling
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user 24076
For questions about mathematical tiling.
0
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On cutting tetrahedrons into mutually congruent pieces
A family of so-called Hadwiger-Hill simplices in $\mathbb{R}^d$ (https://en.wikipedia.org/wiki/Hill_tetrahedron) can be cut into $m^d$ congruent simplices, all similar to the original simplex; that is …
- 6,101
15
votes
Accepted
How many positions of a tiling polygon can occur simultaneousy?
Infinitely many, even for a triangle.
Let $T$ be the "Pythagorean" triangle with sides of length $3,4,5$. First, tile the $3\times 4$ rectangle $R$ by two copies of $T$. Tile the $60\times 60$ squar …
- 6,101