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math.MG2026
Tiling a triangle into a prime number of congruent triangles
Michael Beeson
We show that, apart from a few known exceptions, if a triangle is cut into congruent triangles, then is not a prime number. The exceptions are cutting an isosceles triangle…
math.MG2026★ 1 cited
Tilings of an Isosceles Triangle
Michael Beeson
An N-tiling of triangle ABC by triangle T is a way of writing ABC as a union of N triangles congruent to T, overlapping only at their boundaries. The triangle T is the "tile". The…
math.MG2024
Triangle Tiling V: Tilings by a tile with integer sides
Michael Beeson
An N-tiling of triangle ABC by triangle T is a way of writing ABC as a union of N triangles congruent to T, overlapping only at their boundaries. The triangle T is the "tile". The…