The Orbifold Notation for Two-Dimensional Groups

@article{Conway2002TheON,
  title={The Orbifold Notation for Two-Dimensional Groups},
  author={John H. Conway and Daniel H. Huson},
  journal={Structural Chemistry},
  year={2002},
  volume={13},
  pages={247-257}
}
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. 

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