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math.CO2026
Solution of Erdős Problem 633
Michael Beeson, Miklos Laczkovich, Yan X. Zhang
We classify triangles that can be tiled only into a square number of congruent triangles, settling Erdős Problem 633.
math.CO2024
Reptile trapezoids
Jin Heo
A geometric figure is a reptile if it can be dissected into at least two similar copies congruent to each other. We prove that if a trapezoid is a reptile and not a parallelogram,…