Symmetry groups associated with tilings on a flat torus

DOI10.1107/S205327331402419XzbMath1341.52033OpenAlexW1975857790WikidataQ47693542 ScholiaQ47693542MaRDI QIDQ2810221

Mark L. Loyola, Eko Budi Santoso, Grace M. Estrada, Ma. Louise Antonette N. De Las Peñas

Publication date: 1 June 2016

Published in: Acta Crystallographica Section A Foundations and Advances (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1107/s205327331402419x

zbMATH Keywords

symmetry groupsflat toruscolor symmetrynanotori

Mathematics Subject Classification ID

Other geometric groups, including crystallographic groups (20H15) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Uses Software

• GAP
• Mathematica

Cites Work

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• Tiling the torus and other space forms
• Molecular torus group
• Symmetry groups of single-wall nanotubes
• The Plane Symmetry Groups: Their Recognition and Notation
• Abstract Regular Polytopes
• Symmetry group of two special types of carbon nanotori

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