Cambridge University Press Cambridge Geometric Regular Polytopes - Series Number 172

Explore the deep history and modern advancements of geometric theory with Geometric Regular Polytopes. Part of the Encyclopedia of Mathematics and its Applications (Series Number 172), this volume from Cambridge University Press provides a comprehensive look at regular polytopes and their symmetry. While much modern research focuses on abstract regular polytopes, this book addresses significant recent developments on the geometric side. Readers will find a detailed exploration of new topics, including realizations and rigidity. These areas offer a different way to understand both the geometric and combinatorial symmetry of polytopes. As the first comprehensive account of modern geometric theory, this text serves as a vital resource for those studying the evolution from classical regular polygons and polyhedra to contemporary mathematical research. It includes a wide range of applications and introduces new techniques to the field, making it an essential addition to any higher education mathematics collection.