Polyiamonds Attaining Extremal Topological Properties, Part II
Abstract
In Part II of this work, we construct crystallized polyiamonds with h holes for every h1, 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 3 there are multiple distinct crystallized polyiamonds with h holes.
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