Structural Chemistry

, Volume 13, Issue 3–4, pp 247–257 | Cite as

The Orbifold Notation for Two-Dimensional Groups

  • John H. Conway
  • Daniel H. Huson
Article

Abstract

This paper gives a detailed introduction to the orbifold notation for two-dimensional (2-D) symmetry groups. It discusses the correspondence between properties of orbifolds and symmetries in the original surface. The problem of determining a group in situ is addressed. Elementary proofs of the classification of the Euclidean and spherical 2-D symmetry groups are presented.

Symmetry group notation classification two-dimensional 

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Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • John H. Conway
    • 1
  • Daniel H. Huson
    • 2
  1. 1.Department of MathematicsPrinceton UniversityPrinceton
  2. 2.WSI-InformatikUniversität TübingenTübingenGermany

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