Vietoris-Rips complexes of Platonic solids
Algebraic Topology
2024-06-05 v1 Combinatorics
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.
Cite
@article{arxiv.2302.14388,
title = {Vietoris-Rips complexes of Platonic solids},
author = {Nada Saleh and Thomas Titz Mite and Stefan Witzel},
journal= {arXiv preprint arXiv:2302.14388},
year = {2024}
}
Comments
17 pages, 8 figures, 2 tables