Open Access
2004 An Algorithm for Finding the Veech Group of an Origami
Gabriela Schmithüsen
Experiment. Math. 13(4): 459-472 (2004).

Abstract

We study the Veech group of an origami, i.e., of a translation surface, tessellated by parallelograms. We show that it is isomorphic to the image of a certain subgroup of {\small $\aut^+(F_2)$ in $\slzwei(\ZZ) \cong \out^+(F_2)$}. Based on this, we present an algorithm that determines the Veech group.

Citation

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Gabriela Schmithüsen. "An Algorithm for Finding the Veech Group of an Origami." Experiment. Math. 13 (4) 459 - 472, 2004.

Information

Published: 2004
First available in Project Euclid: 22 February 2005

zbMATH: 1078.14036
MathSciNet: MR2118271

Subjects:
Primary: 14H10
Secondary: 14H30 , 53C10

Keywords: Origami , Teichmüller curves , Veech groups

Rights: Copyright © 2004 A K Peters, Ltd.

Vol.13 • No. 4 • 2004
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