Daniel Pellicer: Abstract Chiral Polytopes

Cover: 9781108493246 | Abstract Chiral Polytopes | Daniel Pellicer | Buch | Englisch | 2025

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Sprache: Englisch

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Beschreibung

Abstract polytopes are partially ordered sets that satisfy some key aspects of the face lattices of convex polytopes. They are chiral if they have maximal symmetry by combinatorial rotations, but none by combinatorial reflections. Aimed at graduate students and researchers in combinatorics, group theory or Euclidean geometry, this text gives a self-contained introduction to abstract polytopes and specialises in chiral abstract polytopes. The first three chapters are introductory and mostly contain basic concepts and results. The fourth chapter talks about ways to obtain chiral abstract polytopes from other abstract polytopes, while the fifth discusses families of chiral polytopes grouped by common properties such as their rank, their small size or their geometric origin. Finally, the last chapter relates chiral polytopes with geometric objects in Euclidean spaces. This material is complemented by a number of examples, exercises and figures, and a list of 75 open problems to inspire further research.

Inhaltsverzeichnis

1. Introduction; 2. Abstract regular and chiral polytopes; 3. Groups related to chiral polytopes; 4. Polytopes constructed from other polytopes; 5. Families of chiral polytopes; 6. Skeletal polytopes; A. A few treats on Euclidean geometry; B. A few words about numbers; C. Open problems; References; Index.

Erscheinungsjahr:	2025
Fachbereich:	Allgemeines
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
ISBN-13:	9781108493246
ISBN-10:	1108493246
Sprache:	Englisch
Einband:	Gebunden
Autor:	Pellicer, Daniel
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	235 x 157 x 31 mm
Von/Mit:	Daniel Pellicer
Erscheinungsdatum:	03.03.2025
Gewicht:	0,859 kg