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arxiv: 1608.03962 · v1 · pith:SM4B6DZQnew · submitted 2016-08-13 · 🧮 math.CO

Icosahedral Tilings Revisited

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keywords alternationconditionicosahedraltilingsalternativealthougharguablybeen
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Icosahedral tilings, although non-periodic, are known to be characterized by their configurations of some finite size. This characterization has also been expressed in terms of a simple alternation condition. We provide an alternative proof - shorter and arguably easier - of this fact. We moreover conjecture that the alternation condition can be weakened.

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