Abstract

Napoleon and Escher both have theorems about triangles named after them. It is doubtful whether Napoleon knew enough geometry to prove Napoleon's theorem [3, p. 63], and Escher apparently never found a proof for the last part of Escher's theorem. The first part of Escher's theorem is a form of converse of Napoleon's theorem, and both theorems can be proved using tessellations, a method that surely would have appealed to Escher with his love of filling the plane with congruent shapes.

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