Vertex-to-Self Trajectories on the Platonic Solids

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Date

Volume

3/2020

Issue

Journal

Series Titel

Snapshots of Modern Mathematics from Oberwolfach

Book Title

Publisher

Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach gGmbH

Abstract

We consider the problem of walking in a straight line on the surface of a Platonic solid. While the tetrahedron, octahedron, cube, and icosahedron all exhibit the same behavior, we find a remarkable difference with the dodecahedron.

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License

CC BY-NC-SA 4.0 Unported