2024/03/31 by Teruhisa Sugimoto, Sugimoto, Teruhisa
Computer Science · Materials Science · Mathematics · #05B45 #52C20 #Cellular Automata and Applications #F.2.0 #F.2.2 #FOS: Mathematics #Mathematics and Applications #Metric Geometry (math.MG) #Quasicrystal Structures and Properties
paper · pdf · doi:10.48550/arxiv.2404.00534
openalex publication_date 2024/03/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Sets of three types of convex pentagons that are aperiodic with no matching conditions on the edges are created from a chiral aperiodic monotile Tile(1, 1). This method divides the interior of Tile(1,1) into five convex polygons with five or more edges, and we have so far identified four methods.