A series of coverings of the regular n-gon

Myriam Finster

doi:10.1007/s10711-011-9585-0

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arXiv · 1005.4588

A series of coverings of the regular n-gon

Myriam Finster

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Abstract

We define an infinite series of translation coverings of Veech's double-n-gon for odd n greater or equal to 5 which share the same Veech group. Additionally we give an infinite series of translation coverings with constant Veech group of a regular n-gon for even n greater or equal to 8. These families give rise to explicit examples of infinite translation surfaces with lattice Veech group.

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Myriam Finster. 2010-05-25. A series of coverings of the regular n-gon. https://doi.org/10.1007/s10711-011-9585-0

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