A Woven Klein Quartic

Fuente: arXiv
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Autore principale: Goodman-Strauss, Chaim
Natura: Preprint
Pubblicazione: 2024
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author Goodman-Strauss, Chaim
author_facet Goodman-Strauss, Chaim
contents We describe a new method of weaving a model of the Klein quartic, a highly symmetric, but abstract genus-3 surface akin to a platonic polyhedron, with negatively-curved geometry. The Klein quartic cannot be realized in its fully symmetric form in three-dimensional space, but this model exhibits the most rigid symmetry that is possible. With remarkably little time and material you can have a Klein quartic of your own!
format Preprint
id arxiv_https___arxiv_org_abs_2403_02503
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Woven Klein Quartic
Goodman-Strauss, Chaim
Combinatorics
We describe a new method of weaving a model of the Klein quartic, a highly symmetric, but abstract genus-3 surface akin to a platonic polyhedron, with negatively-curved geometry. The Klein quartic cannot be realized in its fully symmetric form in three-dimensional space, but this model exhibits the most rigid symmetry that is possible. With remarkably little time and material you can have a Klein quartic of your own!
title A Woven Klein Quartic
topic Combinatorics
url https://arxiv.org/abs/2403.02503