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Paper detail

A Short Lecture on Topological Crystallography and a Discrete Surface Theory

This is an unrefereed lecture note based on lectures in 'Introductory Workshop on Discrete Differential Geometry' at Korea University on January 21--24, 2019. In this note, we discuss topological crystallography, which is a mathematical theory of crystal structures. The most symmetric structure among all placements of the graph is obtained by a variational principle in topological crystallography. We also discuss a theory of trivalent discrete surfaces in $3$-dimensional Euclidean space, which are mathematical models of crystal/molecular structures.

preprint2020arXivOpen access
Hisashi Naito
math-phmath.MPmath.DG
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Hisashi Naito

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