Description
Abstract Chiral Polytopes presents a detailed investigation into one of the most intriguing areas of discrete geometry and combinatorics. This volume, part of the prestigious New Mathematical Monographs series, explores the theory and applications of chiral polytopes—abstract geometric structures with unique symmetry properties that lack reflection symmetry.
The work systematically develops the foundational concepts necessary for understanding chiral polytopes, including their algebraic characterization, enumeration, and construction methods. Pellicer demonstrates how these objects arise naturally in various mathematical contexts and discusses their connections to group theory, combinatorial design, and geometric topology.
Ideal for researchers and advanced graduate students in pure mathematics, this monograph serves as both a reference text and a source of open problems. It combines rigorous mathematical exposition with accessible explanations, making sophisticated results available to the broader mathematical community.
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