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目次情報: 続きを見る

Introduction

Basic Concepts and Simplest Properties of Convex Polyhedra

Methods and Results

Uniqueness of Polyhedra with Prescribed Development

Existence of Polyhedra with Prescribed Development

Gluing and Flexing Polyhedra with Boundary

Conditions for Congruence of Polyhedra with Parallel Faces

Existence Theorems for Polyhedra with Prescribed Face Directions

Relationship Between the Congruence Condition for Polyhedra with Parallel Faces and Other Problems

Polyhedra with Vertices on Prescribed Rays

Infinitesimal Rigidity of Convex Polyhedra with Stationary Development

Infinitesimal Rigidity Conditions for Polyhedra with Prescribed Face Directions

Supplements

References

Subject Index

Introduction

Basic Concepts and Simplest Properties of Convex Polyhedra

Methods and Results

目次情報: 続きを見る

Introduction

Indivisible, inexpressible and unavoidable / 1：

Rules and regularity / 2：

Decline and rebirth of polyhedral geometry / 3：

Fantasy, harmony and uniformity / 4：

Surfaces, solids and spheres / 5：

Equality, rigidity and flexibility / 6：

Stars, stellations, and skeletons / 7：

Symmetry, shape and structure / 8：

Counting, colouring and computing / 9：

Combination, transformation and decoration / 10：

Appendices

Introduction

Indivisible, inexpressible and unavoidable / 1：

Rules and regularity / 2：