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Abstract Regular Polytopes

Abstract regular polytopes stand at the end of more than two millennia of geometrical research, which began with regular polygons and;

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Geometric Regular Polytopes

polyhedra. Much of modern research focuses on abstract regular polytopes, but significant recent developments have been made on the geometric side;

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London Mathematical Society Lecture Note Series

ideas in a quite new way. For example, the family of regular convex polytopes is extended to the family of 'perfect polytopes'. Thus the;

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Polytopes and Discrete Geometry

geometry and researchers who work with abstract polytopes or string $C$-groups. It is also aimed at early career mathematicians, including graduate;

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Scale-isometric Polytopal Graphs In Hypercubes And Cubic Lattices

corresponding polytopes are either prominent mathematically (regular partitions, root lattices, uniform polytopes and so on), or applicable in chemistry;

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Lie Groups and Lie Algebras

of Lie groups and algebras, ranging from the geometry of regular polytopes and paving problems to current work on finite simple groups having a;

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Algebraic And Geometric Combinatorics On Lattice Polytopes - Proceedings Of The Summer Workshop On Lattice Polytopes

Polytopes. Topics include enumerative, algebraic and geometric combinatorics on lattice polytopes, topological combinatorics, commutative algebra;

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The Geometry of Higher-Dimensional Polytopes

. The Geometry of Higher-Dimensional Polytopes contains innovative research on the methods and applications of the structures of binary;

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Everywhere n-Dimensional Existence for Brahmagupta Polytopes

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An Introduction to Convex Polytopes

The aim of this book is to introduce the reader to the fascinating world of convex polytopes. The highlights of the book are three main;

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Combinatorial techniques

law. Chapters related to geometry include triangulations and Sperner's theorem, classification of regular polytopes, tilings and an;

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Static Analysis

, in November 2020.The 14 regular papers presented in this book together with 2 invited talks and 1 extended abstract, were carefully reviewed and;

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Introduction to Toric Varieties. (AM-131), Volume 131

Toric varieties are algebraic varieties arising from elementary geometric and combinatorial objects such as convex polytopes in Euclidean;

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The Beauty of Geometry

. A detailed examination of group theory includes discussion of Wythoff's construction for uniform polytopes, as well as a chapter on regular;

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Combinatorics Of Minuscule Representations

bases, permutation groups, weight polytopes and finite geometries. Ideal as a reference, this book is also suitable for students with a;

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Applications of Group Theory to Combinatorics

graphs, regular maps, and Hurwitz problems, and present the state-of-the-art in these areas. Applications of Group Theory to Combinatorics will;

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Polytopes, Rings, and K-Theory

sight, polytopes, by their very nature, must appear alien to surveyors of this heartland of algebra. But in the presence of a discrete structure;

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Discrete Geometry and Symmetry

geometry and topology. This book contains papers on new developments in these areas, including convex and abstract polytopes and their recent;

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Lectures on Discrete Geometry

The main topics in this introductory text to discrete geometry include basics on convex sets, convex polytopes and hyperplane arrangements;

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Triangulations

treatment of the theory of regular subdivisions, secondary polytopes, ?ips, chambers, and their interactions. Again, we ?rmly believe that;

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Steps in Commutative Algebra

abstract algebra, it provides a good foundation in commutative ring theory, from which the reader can proceed to more advanced works in commutative;

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Steps in Commutative Algebra

abstract algebra, it provides a good foundation in commutative ring theory, from which the reader can proceed to more advanced works in commutative;

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Regular Graphs

considering the spectral properties of regular graphs. The book begins with a short introduction including necessary terminology and notation. The;

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Advances in Databases and Information Systems

in Nicosia, Cyprus, in September 2017. The 26 regular papers presented together with one keynote paper and one keynote abstract were carefully;

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Programming Languages and Systems

in Pohang, South Korea, in November/December 2015. The 24 regular papers presented together with 1 short paper were carefully reviewed and;

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Number, Shape, & Symmetry

basic ideas and applications of divisibility, primes, and modular arithmetic. They also introduce the abstract notion of a group and include;

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Binomial Ideals

short introduction to convex polytopes. Chapters in the remainder of the text can be read independently and explore specific aspects of the;

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