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A series of coverings of the regular n-gon

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Abstract

We define an infinite series of translation coverings of Veech’s double-n-gon for odd n ≥ 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 ≥ 8. These families give rise to explicit examples of infinite translation surfaces with lattice Veech group.

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  1. Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany

    Myriam Finster

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  1. Myriam Finster
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Correspondence to Myriam Finster.

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Finster, M. A series of coverings of the regular n-gon. Geom Dedicata 155, 191–214 (2011). https://doi.org/10.1007/s10711-011-9585-0

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  • DOI: https://doi.org/10.1007/s10711-011-9585-0

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