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Discrete Differential Geometry

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Cover of 'Discrete Differential Geometry'

Table of Contents

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    Book Overview
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    Chapter 1 Surfaces from Circles
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    Chapter 2 Minimal Surfaces from Circle Patterns: Boundary Value Problems, Examples
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    Chapter 3 Designing Cylinders with Constant Negative Curvature
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    Chapter 4 On the Integrability of Infinitesimal and Finite Deformations of Polyhedral Surfaces
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    Chapter 5 Discrete Hashimoto Surfaces and a Doubly Discrete Smoke-Ring Flow
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    Chapter 6 The Discrete Green’s Function
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    Chapter 7 Curves of Finite Total Curvature
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    Chapter 8 Convergence and Isotopy Type for Graphs of Finite Total Curvature
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    Chapter 9 Curvatures of Smooth and Discrete Surfaces
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    Chapter 10 Polyhedral Surfaces of High Genus
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    Chapter 11 Necessary Conditions for Geometric Realizability of Simplicial Complexes
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    Chapter 12 Enumeration and Random Realization of Triangulated Surfaces
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    Chapter 13 On Heuristic Methods for Finding Realizations of Surfaces
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    Chapter 14 What Can We Measure?
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    Chapter 15 Convergence of the Cotangent Formula: An Overview
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    Chapter 16 Discrete Differential Forms for Computational Modeling
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    Chapter 17 A Discrete Model of Thin Shells
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