Pizza and 2-structures

DOI10.1007/s00454-023-00600-2zbMath1529.52014arXiv2105.07288OpenAlexW4387700988MaRDI QIDQ6142344

Sophie Morel, Margaret A. Readdy, Richard Ehrenborg

Publication date: 21 December 2023

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.07288

zbMATH Keywords

reflection groupsdissectionsCoxeter arrangementsintrinsic volumes2-structurespizza theoremBolyai-Gerwien theorempseudo-root systems

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Polyhedra and polytopes; regular figures, division of spaces (51M20) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Length, area and volume in real or complex geometry (51M25) Dissections and valuations (Hilbert's third problem, etc.) (52B45) Reflection groups, reflection geometries (51F15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the extension of additive functionals on classes of convex sets
• A generalization of combinatorial identities for stable discrete series constants
• Discrete Series Characters as Lifts from Two-structure Groups
• The Proof Is in the Pizza
• Combinatorics of Coxeter Groups
• Of Cheese and Crust: A Proof of the Pizza Conjecture and Other Tasty Results
• Stochastic and Integral Geometry
• The algebra of polytopes in affine spaces.
• Reflection groups and the pizza theorem
• Sharing pizza in n dimensions
• Convex Bodies The Brunn-MinkowskiTheory