An Algorithm for Finding the Veech Group of an Origami

Gabriela Schmithüsen

doi:em/1109106438

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Home > Journals > Experiment. Math. > Volume 13 > Issue 4 > Article

2004 An Algorithm for Finding the Veech Group of an Origami

Gabriela Schmithüsen

Experiment. Math. 13(4): 459-472 (2004).

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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.