The Pattern Complexity of the Squiral Tiling
Johan Nilsson
TL;DR
This paper provides an exact formula for counting the number of distinct square patterns of a specific size within the Squiral tiling, advancing the understanding of its combinatorial complexity.
Contribution
It introduces a precise formula for pattern complexity in the Squiral tiling, a novel result in the study of aperiodic tilings.
Findings
Exact formula for pattern count in Squiral tiling
Quantitative analysis of pattern complexity
Enhanced understanding of aperiodic tiling structures
Abstract
We give an exact formula for the number of distinct square patterns of a given size that occur in the Squiral tiling.
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Taxonomy
TopicsQuasicrystal Structures and Properties · Cellular Automata and Applications · Advanced Combinatorial Mathematics