A Trajectory from a Vertex to Itself on the Dodecahedron

DOI10.1080/00029890.2019.1538475zbMath1409.51021arXiv1802.00811OpenAlexW2964289144MaRDI QIDQ3120227

David Aulicino, Jayadev S. Athreya

Publication date: 1 March 2019

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.00811

zbMATH Keywords

vertexdodecahedrongeodesic trajectory

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20)

Related Items (5)

Vertex to Vertex Geodesics on Platonic Solids ⋮ Shortest Paths on Cubes ⋮ Billiard trajectories in regular polygons and geodesics on regular polyhedra ⋮ Area Division of the Yellow Brick Road on the Regular Dodecahedron ⋮ Platonic Solids and High Genus Covers of Lattice Surfaces

Cites Work

• Geodesics on the regular tetrahedron and the cube
• Geodesics on regular polyhedra with endpoints at the vertices
• Unnamed Item

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