• Corpus ID: 248496526

Veech Groups and Triangulations of Half-Dilation Pillowcases

  title={Veech Groups and Triangulations of Half-Dilation Pillowcases},
  author={Taro Shima},
In this paper we consider the symmetries of triangulable half-dilation structures on the sphere with four singularities. We show that all such surfaces can be produced by a tetrahedral construction. Using this construction, we calculate each such surface’s symmetry group in PSL(2 , R ) called the Veech group. 

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