The Pattern Complexity of the Squiral Tiling

2024/09/15 by Johan Nilsson, Nilsson, Johan · 1 citation
Computer Science · Materials Science · Mathematics · #05A15 #05B45 #52C20 #Advanced Combinatorial Mathematics #Cellular Automata and Applications #Combinatorics (math.CO) #FOS: Mathematics #Quasicrystal Structures and Properties

paper · pdf · doi:10.48550/arxiv.2409.09847

openalex publication_date 2024/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an exact formula for the number of distinct square patterns of a given size that occur in the Squiral tiling.

Cited by

• The Pattern Complexity of the Sierpiński Triangle

Related

• The exact complexity of a Robinson tiling
• The Pattern Complexity of the Sierpiński Triangle
• Low-Complexity Tilings of the Plane
• Tiling Parity Results and the Holey Square Solution
• Tiling a rectangle with the fewest squares