Tilings of regular pentagons with similar right triangles

Zhanjun Su, Lingnan He

Source record

Source: Crossref

Published: Oct 1, 2020

DOI: 10.1216/rmj.2020.50.1853

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Source abstract

We say that a triangle Δ tiles the polygon 𝒫 if 𝒫 can be decomposed into finitely many nonoverlapping triangles similar to Δ. Let ℛ be a regular pentagon. In this paper we prove that a right triangle tiles ℛ if and only if this triangle has an acute angle π5.

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