Properties of Strongly Balanced Tilings by Convex Polygons
Teruhisa Sugimoto
TL;DR
This paper investigates the properties of strongly balanced tilings by convex polygons, focusing on periodic tilings, and derives characteristics of representative tilings by convex pentagons.
Contribution
It extends the understanding of periodic convex polygon tilings by analyzing strongly balanced tilings and characterizes properties of convex pentagonal tilings.
Findings
Normal periodic tilings are strongly balanced.
Properties of convex polygon tilings are derived from strongly balanced tilings.
Characteristics of convex pentagonal tilings are identified.
Abstract
Every normal periodic tiling is a strongly balanced tiling. The properties of periodic tilings by convex polygons are rearranged from the knowledge of strongly balanced tilings. From the results, we show the properties of representative periodic tilings by a convex pentagonal tile.
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Taxonomy
TopicsCellular Automata and Applications · Quasicrystal Structures and Properties