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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.CO2026
Rationality of certain triangle tilings
Michael Beeson, Yan X Zhang
We consider tilings of a triangle by congruent copies of a triangle that has one angle equal to , has non-commensurable angles (that is, not all angles are rationa…
math.CO2024
Tiling an Equilateral Triangle
Michael Beeson
Let be an equilateral triangle. For certain triangles (the "tile") and certain , it is possible to cut into copies of . It is known that only certain shap…