Part One: Introduction

Part Two: The Fundamentals and Their Role in Design
Introduction; Point - a Sound of Silence; Line and What Follows; Planes, Shapes and Forms; Various Polygons; Grids and Guidelines; Use to the Creative Practitioner; Summary

Part Three: Underneath It All
Introduction; Various Useful Constructions; Static and Dynamic Rectangles; Root Rectangles; The Brunes Star; Compositional Rectangles; Grids from Dynamic Rectangles; Summary

Part Four: Tiling the Plane Without Gap or Overlap
Introduction; Regular and Semi-regular Tilings; Demi-regular Tilings; Aperiodic Tilings; Islamic Tilings and Their Construction; Tiling on a Curved Surface; Developing Original Tiling Designs; Summary

Part Five: Symmetry, Patterns and Fractals
Introduction; Symmetry Operations; Motifs, Figures or Repeating Units; Friezes, Strips or Borders; Lattices and all-over Patterns; Counter-change Designs; Fractals and Self-similarity - Another Type of Symmetry; Summary

Part Six: The Stepping Stones of Fibonacci and the Harmony of a Line Divided
Introduction; The Fibonacci Series; The Golden Section; The Golden Rectangle; The Golden Spiral
Uses in Art, Design and Architecture - a Summary of the Debate; The Potential for the Creative Practitioner; Summary

Part Seven: Polyhedra, Spheres and Domes
Introduction; Spheres; Platonic Solids; Archimedean Solids; Radiolarians, Soccer Balls and Super Molecules; Polyhedra in Art and Design; Domes; Summary

Part Eight: Structure and Form in Three Dimensions
Introduction; Elements of Three-dimensional Form; Representations of Three-dimensional Form; Cubes, Prisms and Cylinders; Cones and Pyramids; Three-dimensional Lattices; Transformations; Summary

Part Nine: Variations on a Theme: Modularity, Closest Packing and Partitioning
Introduction; The Nature of Modularity; Modularity in the Fine and Decorative Arts; Modularity in Design and Architecture; Closest Packing; Efficient Partitioning; Towards a Theory of Emergence in the Decorative Arts and Design; Summary

Part Ten: Structural Analysis in the Decorative Arts, Design and Architecture
Introduction; Symmetry Analysis - Steps Towards a Consistent Method; Geometric Analysis in the Decorative Arts, Design and Architecture; Frequently Used Constructions and Measures; Questions Relating to Method and Data Collection; Steps Towards a Systematic Analytical Framework; Questions of Accuracy; Summary

Part Eleven: A Designer's Framework

Appendices
References