内容

目次

Symmetries of Finite Objects and Plane Repeating Patterns Symmetries Planar Patterns The Magic Theorem The Spherical Patterns Frieze Patterns Why the Magic Theorems Work Euler’s Map Theorem Classification of Surfaces Orbifolds Color Symmetry, Group Theory, and Tilings Presenting Presentations Twofold Colorations Threefold Colorings of Plane Patterns Searching for Relations Types of Tilings Abstract Groups Repeating Patterns in Other Spaces Introducing Hyperbolic Groups More on Hyperbolic Groups Archimedean Tilings Generalized Schläfli Symbols Naming Archimedean and Catalan Polyhedra and Tilings The 35 "Prime" Space Groups Objects with Prime Symmetry Flat Universes The 184 Composite Space Groups Higher Still