Erdős problem 633 · problems.science

A triangle whose side lengths and angles are integrally independent is cuttable only into a non-zero square number of congruent triangles. This is proved in [So09c].

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FormalConjectures/ErdosProblems/

633.lean

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Which triangles can only be decomposed into a square number of congruent triangles?

FormalConjectures/ErdosProblems/633.leanErdos633.erdos_6331 lineExact file

1∀ {T : Affine.Triangle ℝ (EuclideanSpace ℝ (Fin 2))}, T ∈ sorry ↔ ∀ (n : ℕ), Erdos633.IsCuttable n T → IsSquare n

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