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- W2999442029 abstract "We study the dissection of a square into congruent convex polygons. Yuan emph{et al.} [Dissecting the square into five congruent parts, Discrete Math. textbf{339} (2016) 288-298] asked whether, if the number of tiles is a prime number $geq 3$, it is true that the tile must be a rectangle. We conjecture that the same conclusion still holds even if the number of tiles is an odd number $geq 3$. Our conjecture has been confirmed for triangles in earlier works. We prove that the conjecture holds if either the tile is a convex $q$-gon with $qgeq 6$ or it is a right-angle trapezoid." @default.
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- W2999442029 date "2020-01-10" @default.
- W2999442029 modified "2023-09-23" @default.
- W2999442029 title "Dissecting a square into congruent polygons" @default.
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