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Results tagged with discrete-geometry
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user 11738
Finite or discrete collections of geometric objects. Packings, tilings, polyhedra, polytopes, intersection, arrangements, rigidity.
10
votes
Does every polyomino tile R^n for some n?
@Tim: Thanks for posting the question.
@All: I am allowing all translations and rotations. I am also allowing reflections, but that's irrelevant to the question, because you can always get a reflect …
- 381
14
votes
Does every polyomino tile R^n for some n?
@Erich:
It's certainly not true that every polyomino tiles some hypercuboid.
Here's one way to see this.
Consider the $n_1\times\ldots\times n_d$ hypercuboid.
Index the cells by $(x_1,\ldots,x_d)$ whe …
- 381