1 Contents Foreword Foreword (1992) Preface Preface (1992) Acknowledgements Note to Readers Introduction 1 Return to Modelability 2 The Irrationality of Pi 3 Systems and Synergy 4 Tools of the Trade 4.1 Plato Presents 4.1.1 Triangles 4.1.2 Euler's Law 4.1.3 Duality 4.1.4 Truncation and Stellation 4.1.5 "Intertransformability" 4.1.6 Symmetry 5 Structure and "Pattern integrity" 5.0.1 Pattern integrity 5.0.2 Structure 6 Angular Topology 6.0.1 Frequency and Size 6.0.2 Topology and Vectors 6.0.3 Dimension 6.0.4 Angular topology 7 Vector Equilibrium 7.0.1 Degrees of freedom 8 Tales Told by the Spheres: Closest Packing 8.0.1 Background: Closepacking 8.0.2 Fuller Observations 9 Isotropic Vector Matrix 9.0.1 A Complete Picture 9.0.2 Duality and the IVM 9.0.3 Framework of Possibility 10 Multiplication by Division: In Search of Cosmic Hierarchy 10.0.1 Volume 10.0.2 Multiplication by Division 10.0.3 Cosmic Hierarchy (of Nuclear Event Patternings) 11 Jitterbug 11.0.1 Folding a Polyhedron 11.0.2 Other Dynamic Models 12 "All-Space" Filling: New Types of Packing Crates 12.0.1 Plane Tessellations 13 The Heart of the Matter: A- and B-Quanta Modules 13.0.1 Review: All-Space Fillers 14 Cosmic Railroad Tracks: Great Circles 14.0.1 Great-Circle Patterns 14.0.2 Operational Mathematics 14.0.3 Energy Paths 14.0.4 Inventory: Seven Unique Cosmic Axes of Symmetry 15 From Geodesic to Tensegrity: The Invisible Made Visible 15.0.1 Tensegrity 16 "Design Science" 16.1 Appendix A: Trigonometric Calculations 16.2 Appendix B: Volume Calculations for Three Prime Structural Systems 16.3 Appendix C: Special Properties of the Tetrahedron 16.4 Appendix D: Lists of Illustrations, Photos, Tables List of Figures List of Tables Bibliography 2 3 4 5
A Fuller Explanation A Fuller Explanation 
