Crystals and Mathematics

General background material

Crystals and Mathematics

Humans have been fascinated by crystals for a long time. Its regular geometry, its special symmetry, but also its diversity in colours surprise and please us. In this article, an overview of the connection between crystals and mathematics is given. It is a contribution to the International Year of Crystallography 2014.

Mathematical subjects

Geometry and Topology

Connections to other fields

Chemistry and Earth Science
Physics
Author
Gert-Martin Greuel

License

Files

English
Crystals and Math (PDF)
German
Kristalle und Mathematik (PDF)

More general background material

Mathematical subjects

Algebra and Number Theory
Analysis
Didactics and Education
Discrete Mathematics and Foundations
Geometry and Topology
Numerics and Scientific Computing
Probability Theory and Statistics

Connections to other fields

Chemistry and Earth Science
Computer Science
Engineering and Technology
Finance
Humanities and Social Sciences
Life Science
Physics
Reflections on Mathematics

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