Some metric geometry of the icosahedron

Richard Cushman

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arXiv · 2403.04049

Some metric geometry of the icosahedron

Richard Cushman

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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].

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Richard Cushman. 2024-03-06. Some metric geometry of the icosahedron. https://arxiv.org/abs/2403.04049

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