No Prime Tiling of an Isosceles Triangle

2026/07/21 by Michael Beeson
Mathematics · #math.MG

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Abstract

No isosceles triangle can be cut into a prime number (greater than three) of congruent triangles, and only an equilateral triangle can be cut into three congruent triangles.

Related

• Tiling a triangle into a prime number of congruent triangles
• Tiling an Equilateral Triangle
• Tilings of an Isosceles Triangle
• No triangle can be cut into seven congruent triangles
• Triangle Tiling II: Nonexistence theorems