Pattern Continuity in Polygon Tessellations
Proceedings of Bridges 2023: Mathematics, Art, Music, Architecture, Culture
Pages 53–60
Regular Papers
Abstract
Polygonal tessellations create exciting and fascinating patterns. These tessellations (tilings) are used in architecture, textiles, board games, and various other fields for practical, structural, and decorative purposes. If the polygons (tiles) contain a pattern, and the patterns connect at the polygon’s edges, the combined patterns can be even more fascinating. This study presents logic and constraints governing the appearance of polygons, with a primary focus on edges and a secondary focus on the patterns inside. Additionally, I question the practice of referring to patterned polygons as Truchet tiles.