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arXiv · 2508.19928

Growth Forms of Tilings

Peter Hilgers·Anton Shutov
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Abstract

The growth form (or corona limit) of a tiling is the limit form of its coordination shells, i.e. its set of tiles located at a fixed distance from some tile. We give an overview of current results, conjectures and open questions about growth forms, including periodic, multigrid, substitution, and hat tilings.

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Peter Hilgers, Anton Shutov. 2025-08-27. Growth Forms of Tilings. https://arxiv.org/abs/2508.19928

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