Vertex-to-Self Trajectories on the Platonic Solids

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Vertex-to-Self Trajectories on the Platonic Solids

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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Mathematical subjects

Geometry and Topology

Connections to other fields

Physics

Author(s)

Jayadev S. Athreya, David Aulicino
Senior Editor:
Sophia Jahns

License

DOI (Digital Object Identifier)

10.14760/SNAP-2020-003-EN

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PDF

snapshots: overview

Mathematical subjects

Algebra and Number Theory
Analysis
Didactics and Education
Discrete Mathematics and Foundations
Geometry and Topology
Numerics and Scientific Computing
Probability Theory and Statistics

Connections to other fields

Chemistry and Earth Science
Computer Science
Engineering and Technology
Finance
Humanities and Social Sciences
Life Science
Physics
Reflections on Mathematics

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