Vertex-to-Self Trajectories on the Platonic Solids

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Date
2020
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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Citation
Athreya, J. S., & Aulicino, D. (2020). Vertex-to-Self Trajectories on the Platonic Solids (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach gGmbH). Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach gGmbH. https://doi.org//10.14760/SNAP-2020-003-EN
License
CC BY-NC-SA 4.0 Unported