paper

Properties of Convex Pentagonal Tiles for Periodic Tiling

arXiv:1811.02075

Abstract

A convex pentagonal tile is a convex pentagon that admits a monohedral tiling. We show that a convex pentagonal tile that admits a periodic tiling has a property in which the sum of three internal angles of the pentagon is equal to 360°.

7 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:1606.07997