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Mathematical crystallography in the 21st century

  • Marjorie Senechal EMAIL logo


As crystallography merges with materials science and engineering, mathematical crystallography is growing in new directions, including: Characterizing new materials with unusual properties; Imaging, including but not limited to diffraction; Exploring and exploiting superspaces; Mapping the aperiodic landscape, from chaos to classical periodicity and beyond; Re-modeling the structures of real crystals, both periodic and aperiodic; Modeling self-assembly and self-reorganization on the nanoscale. In short, it’s not (just) about space groups and tilings anymore.

Corresponding author: Marjorie Senechal, Smith College, Northampton, Massachusetts, USA, E-mail:


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Received: 2015-6-21
Accepted: 2015-8-8
Published Online: 2015-12-1
Published in Print: 2015-11-1

©2015 by De Gruyter

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