Contents 1 Introduction2 Return to Modelability2.0.1 Operational Mathematics3 The Irrationality of Pi4 Systems and Synergy4.0.1 Synergy5 Tools of the Trade5.0.1 Plato Presents5.0.2 Euler’s Law5.0.3 Duality5.0.4 Truncation and Stellation5.0.5 "Intertransformability"5.0.6 Symmetry6 Structure and “Pattern Integrity”6.0.1 Pattern integrity6.0.2 Structure7 Angular Topology7.0.1 Frequency and Size7.0.2 Topology and Vectors7.0.3 Dimension7.0.4 Angular topology8 Vector Equilibrium8.0.1 Degrees of freedom9 Tales Told by the Spheres: Closest Packing9.0.1 Background: Closepacking9.0.2 Fuller Observations9.0.3 Further Discoveries: Nests10 Isotropic Vector Matrix10.0.1 A Complete Picture10.0.2 Duality and the IVM10.0.3 Framework of Possibility11 Multiplication by Division: In Search of Cosmic Hierarchy11.0.1 Volume11.0.2 Multiplication by Division11.0.3 Cosmic Hierarchy (of Nuclear Event Patternings)12 Jitterbug12.0.1 Folding a Polyhedron12.0.2 Icosahedron12.0.3 Fives12.0.4 Four Dimensions12.0.5 Complex of Jitterbugs12.0.6 Other Dynamic Models13 “All-Space” Filling: New Types of Packing Crates13.0.1 Plane Tessellations13.0.2 Filling Space14 The Heart of the Matter: A- and B-Quanta Modules14.0.1 Mite14.0.2 Coupler14.0.3 Review: All-Space Fillers15 Cosmic Railroad Tracks: Great Circles15.0.1 Great-Circle Patterns15.0.2 Operational Mathematics15.0.3 Energy Paths15.0.4 Inventory: Seven Unique Cosmic Axes of Symmetry16 From Geodesic to Tensegrity: The Invisible Made Visible16.0.1 Tensegrity17 “Design Science”
A Fuller Explanation A Fuller Explanation