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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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