2003, pp 244-251

Escher-Like Patterns from Pentagonal Tilings

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Abstract

My first acquaintance with tiling pentagons was from Martin Gardner’s “Mathematical Games” columns in Scientific American magazine, in July and in December 1975. Although every triangle and every quadrilateral can tile the plane (that is, fill the plane with congruent copies, without gaps or overlaps), only certain types of pentagons can tile the plane. Until Gardner’s article, it was believed that all such types were known; there were eight different types.