Define a shape with connected interior to be n-convex if n copies of it can tile a convex shape.
Define the spectrum of a shape to be the set of all n≥1 for which the shape is n-convex.
Is there a shape with spectrum {1,5}, {2,5}, {3,5}, or {4,5}?
2026-03-28 12:33:33.1774701213
Shapes that can tile convex regions with only certain numbers of copies
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