Cubic Crystals and Vertex-Colorings of the Cubic Honeycomb
M. L. Loyola, M. L. A. N. De Las Pe\~nas, A. M. Basilio
TL;DR
This paper explores vertex-colorings of the cubic honeycomb to reveal structural and symmetry properties of cubic crystals, providing insights into their geometric and combinatorial characteristics.
Contribution
It introduces a novel approach linking vertex-colorings of the cubic honeycomb to the analysis of cubic crystal structures and their symmetries.
Findings
Vertex-colorings illustrate crystal symmetries.
Colorings reveal structural patterns in cubic crystals.
Method connects combinatorics with crystallography.
Abstract
In this work, we discuss vertex-colorings of the cubic honeycomb and we illustrate how these colorings can demonstrate the structure and symmetries of certain cubic crystals.
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Taxonomy
TopicsSupramolecular Self-Assembly in Materials · Advanced Combinatorial Mathematics · Liquid Crystal Research Advancements