Chiral Extensions of Regular Toroids


Por: Montero A., Toledo M.

Publicada: 1 ene 2025
Resumen:
Abstract polytopes are combinatorial objects that generalise geometric objects such as convex polytopes, maps on surfaces and tilings of the space. Chiral polytopes are those abstract polytopes that admit full combinatorial rotational symmetry but do not admit reflections. In this paper we build chiral polytopes whose facets (maximal faces) are isomorphic to a prescribed regular cubic tessellation of the n-dimensional torus (n?2). As a consequence, we prove that for every d?3 there exist infinitely many chiral d-polytopes. © The Author(s), under exclusive licence to János Bolyai Mathematical Society and Springer-Verlag GmbH Germany, part of Springer Nature 2024.

Filiaciones:
Montero A.:
 Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, Ljubljana, 1000, Slovenia

Toledo M.:
 Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, Ljubljana, 1000, Slovenia

 Institute of Mathematics, Physics and Mechanics, Jadranska 19, Ljubljana, 1000, Slovenia
ISSN: 02099683
Editorial
Springer-Verlag, 233 SPRING ST, NEW YORK, NY 10013 USA, Alemania
Tipo de documento: Article
Volumen: 45 Número: 1
Páginas:
WOS Id: 001388481900001
imagen All Open Access; Green Open Access