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arXiv · 2302.14388

Vietoris-Rips complexes of Platonic solids

Nada Saleh·Thomas Titz Mite·Stefan Witzel
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Abstract

We determine the homotopy type of the Vietoris-Rips complexes of the (vertex sets of the) platonic solids. The most interesting case is that the Vietoris-Rips complex of the dodecahedron is a wedge of nine 3-spheres when the parameter is between combinatorial distance 3 and 4.

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Nada Saleh, Thomas Titz Mite, Stefan Witzel. 2023-02-28. Vietoris-Rips complexes of Platonic solids. https://doi.org/10.2140/iig.2024.21.17

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