# 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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