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Journal Articles The American Mathematical Monthly Year : 2022

VERTEX TO VERTEX GEODESICS ON PLATONIC SOLIDS

Abstract

We give a simple proof based on symmetries that there are no geodesics from a vertex to itself in the cube, tetrahedron, octahedron, and icosahedron.
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Dates and versions

hal-03563408 , version 1 (09-02-2022)
hal-03563408 , version 2 (29-07-2022)
hal-03563408 , version 3 (29-08-2022)

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Cite

Serge Troubetzkoy. VERTEX TO VERTEX GEODESICS ON PLATONIC SOLIDS. The American Mathematical Monthly, 2022, pp.379-382. ⟨10.1080/00029890.2023.2172298⟩. ⟨hal-03563408v3⟩
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