Polytopes and Discrete Geometry
Polytopes and Discrete Geometry by Gabriel Cunningham, published by the American Mathematical Society on April 6, 2021, is a comprehensive volume that explores various aspects of discrete geometry. Spanning 272 pages, this book presents a collection of papers that highlight new methods and results across a range of topics, making it a valuable resource for researchers in discrete and convex geometry, as well as those working with abstract polytopes.
Readers will find a diverse array of subjects covered, including the combinatorics, geometry, and symmetries of convex polytopes, as well as tilings and discrete point sets. The volume also includes survey articles on significant areas of active research, aimed at early career mathematicians, graduate students, and postdoctoral fellows. This edition provides insights into the beauty and variety of research in discrete geometry, featuring topics such as Eulerian posets, self-dual polytopes, and graph coloring.
Official synopsis Publisher
The papers showcase the breadth of discrete geometry through many new methods and results in a variety of topics. Also included are survey articles on some important areas of active research. This volume is aimed at researchers in discrete and convex geometry and researchers who work with abstract polytopes or string C
C-groups. It is also aimed at early career mathematicians, including graduate students and postdoctoral fellows, to give them a glimpse of the variety and beauty of these research areas.
Topics covered in this volume include: the combinatorics, geometry, and symmetries of convex polytopes; tilings; discrete point sets; the combinatorics of Eulerian posets and interval posets; symmetries of surfaces and maps on surfaces; self-dual polytopes; string C
C-groups; hypertopes; and graph coloring.
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