arXiv:1512.00908 Abstract | arXiv Analytics

arXiv:1512.00908 [math.DS]Abstract References Reviews Resources

Lattice Surfaces and smallest triangles

Published 2015-12-02Version 1

We calculate the area of the smallest triangle and the area of the smallest virtual triangle for many known lattice surfaces. We show that our list of the lattice surfaces for which the area of the smallest virtual triangle greater than .05 is complete. In particular, this means that there are no new lattice surfaces for which the area of the smallest virtual triangle is greater than .05. Our method follows an algorithm described by Smillie and Weiss and improves on it in certain respects.

Comments: 18 pages, 8 figures

Categories: math.DS

Subjects: 37E30, 37E35, 37E99

Keywords: lattice surfaces, smallest triangle, smallest virtual triangle greater

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