TL;DR
This paper investigates a specific triangle with angles Pi/12, Pi/3, and 7*Pi/12, demonstrating it has the lattice property and explicitly computing its Veech group, contributing to the understanding of Veech triangles.
Contribution
It identifies a new Veech triangle with specific angles and explicitly computes its Veech group, expanding the class of known Veech surfaces.
Findings
The triangle has the lattice property.
The Veech group of the triangle is explicitly computed.
This triangle is a new example of a Veech triangle.
Abstract
We show that the triangle with angles Pi/12, Pi/3 and 7*Pi/12 has the lattice property and compute this triangle's Veech group.
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Taxonomy
TopicsGeometric and Algebraic Topology · Logic, programming, and type systems · semigroups and automata theory