Some metric geometry of the icosahedron
Differential Geometry
2024-03-08 v1
Abstract
This paper constructs a Riemann surface associated to the icosahedron and discusses the geodesics associated to a flat metric on this surface. Because of the icosahedral symmetry, this is a distinguished special case of the example treated in [2].
Cite
@article{arxiv.2403.04049,
title = {Some metric geometry of the icosahedron},
author = {Richard Cushman},
journal= {arXiv preprint arXiv:2403.04049},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:1907.04456