Abstract Chiral Polytopes

"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. Its many figures, exercises and examples develop a deep understanding, with a list of 75 open problems included to challenge and inspire"--

List of contents

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.

About the author

Daniel Pellicer is Investigador Titular B at the National Autonomous University of Mexico. He was awarded the Marsden postdoctoral fellowship by the Fields Institute (2011), and a Young Affiliate Fellowship by TWAS (2013–2018).

Product details

• Authors: Daniel Pellicer, Daniel (Universidad Nacional Autonoma De Pellicer
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 01.04.2025
• EAN: 9781108493246
• ISBN: 978-1-108-49324-6
• No. of pages: 491
• Series: New Mathematical Monographs
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; MATHEMATICS / Geometry / General, MATHEMATICS / Discrete Mathematics, Discrete Mathematics, Euclidean geometry, Groups and group theory, Combinatorics and graph theory