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arXiv:2506.07638math.CO

A Family of Non-Periodic Tilings, Describable Using Elementary Tools and Exhibiting a New Kind of Structural Regularity

Miki Imura

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Abstract

We present a construction of a family of non-periodic tilings using elementary tools such as modular arithmetic and vector geometry. These tilings exhibit a distinct type of structural regularity, which we term modulo-staggered rotational symmetry. The construction is self-contained and does not rely on previous tiling theories or systems.

arXiv comments
13 pages, 12 figures (6 in the appendix gallery). Submitted independently; based on a technical chapter originally published in a Japanese exhibition
Journal reference
DOI
Subjects
math.COCombinatorics

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