Shortest Paths on Cubes

DOI10.1080/07468342.2021.1866944zbMath1473.97010arXiv2003.06096OpenAlexW3138327724MaRDI QIDQ4956268

Rachel Roca, Robert Suzzi Valli, Richard Goldstone

Publication date: 1 September 2021

Published in: The College Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.06096

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Geodesics in global differential geometry (53C22) Plane and solid geometry (educational aspects) (97G40)

Cites Work

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• Geodesics on the regular tetrahedron and the cube
• Geodesics on regular polyhedra with endpoints at the vertices
• Periodic billiard trajectories in regular polygons and closed geodesics on regular polyhedra
• A Trajectory from a Vertex to Itself on the Dodecahedron
• Unfoldings of the Cube

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