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arXiv · 1906.08447

Polyiamonds Attaining Extremal Topological Properties, Part II

Greg Malen·Érika Roldán
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Abstract

In Part II of this work, we construct crystallized polyiamonds with $h$ holes for every $h\ge1$, that is polyiamonds which use the fewest possible tiles necessary to enclose $h$ holes. Furthermore, we prove that crystallized polyiamonds satisfy a set of structural conditions, and for every $h\ge 3$ there are multiple distinct crystallized polyiamonds with $h$ holes.

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Greg Malen, Érika Roldán. 2021-09-25. Polyiamonds Attaining Extremal Topological Properties, Part II. https://arxiv.org/abs/1906.08447

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