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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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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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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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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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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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Mathematical Sciences Research Institute Publications

arrangements, polytopes, packing, covering, discrete convexity, geometric algorithms and their complexity, and the combinatorial complexity;

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Mathematical Sciences Research Institute Publications

arrangements, polytopes, packing, covering, discrete convexity, geometric algorithms and their complexity, and the combinatorial complexity;

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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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Triangulations

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

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Geometric Applications of Fourier Series and Spherical Harmonics

This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by;

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Geometric Applications of Fourier Series and Spherical Harmonics

This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by;

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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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Constructive Geometry

Presents exercises in geometric drawing, from simple shapes and measuring angles to ornamental patterns and regular solids.;

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Tensors

geometry of tensors, matrix multiplication complexity, and moment polytopes in geometric invariant theory; (3) the use of representation theory;

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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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Polytopes and Discrete Geometry

This volume contains the proceedings of the AMS Special Session on Polytopes and Discrete Geometry, held from April 21-22, 2018, at;

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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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Discrete Geometry and Symmetry

fields. While the classical problems of discrete geometry have a strong connection to geometric analysis, coding theory, symmetry groups, and;

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The Hodge-Laplacian

The core of this monograph is the development of tools to derive well-posedness results in very general geometric settings for elliptic;

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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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Polygons Galore

; developing strategies to find areas of specific polygons; identifying and building regular and nonregular polyhedra; and recognizing geometric ideas;

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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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Ruler & Compass

. - Constructions for more than thirty regular polygons - Introduces geometric construction using compasses alone and using rulers alone - Explains;

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The GETMe Mesh Smoothing Framework

, and mixed. * Provides and analyzes geometric element transformations for polygonal and polyhedral elements with regular and non-regular limits;

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The GETMe Mesh Smoothing Framework

, anisotropic, non-mixed, and mixed. * Provides and analyzes geometric element transformations for polygonal and polyhedral elements with regular and;

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