A Fuller Explanation

1. Return to Modelability.- From Geometry to Geodesics: A Personal Perspective.- 2. The Irrationality of Pi.- “Nature Isn’t Using Pi”.- Finite Accounting System.- Which Way Is “Up”?.- Visual Literacy.- Peaceful Coexistence.- 3. Systems and Synergy.- Conceptual and Real Systems.- Limits of Resolution as Part of the Whole-Systems Approach.- 4. Tools of the Trade.- Plato’s Discovery.- Euler’s Law.- Duality.- Truncation and Stellation.- “Intertransformability”.- Symmetry.- 5. Structure and “Pattern Integrity”.- Pattern Integrity.- Structure.- 6. Angular Topology.- Frequency and Size.- Topology and Vectors.- Dimension.- Angular Topology.- 7. Vector Equilibrium.- “Nature’s Own Geometry”.- Spatial Considerations.- Planar Equilibrium.- Cuboctahedron as Vector Equilibrium.- VE: Results.- 8. Tales Told by the Spheres: Closest Packing.- Equilibrium: Equalization of Distances.- Symmetry versus Specificity of Form.- Organization of Identical Units.- New Level of Focus.- 9. Isotropic Vector Matrix.- A Quick Comparison: “Synergetics Accounting”.- Cells: “Inherent Complementarity”.- 10. Multiplication by Division: In Search of Cosmic Hierarchy.- Volume.- Multiplication by Division.- Cosmic Hierarchy (of Nuclear Event Patternings).- 11. Jitterbug.- Folding a Polyhedron.- Icosahedron.- Fives.- Four Dimensions.- Complex of Jitterbugs.- Other Dynamic Models.- 12. “All-Space” Filling: New Types of Packing Crates.- Plane Tessellations.- Filling Space.- 13. The Heart of the Matter: A- and B-Quanta Modules.- A-Quanta Modules.- B-Quanta Modules.- Energy Characteristics.- 14. Cosmic Railroad Tracks: Great Circles.- Why Are We Talking About Spheres?.- New Classification System.- Operational Mathematics.- Energy Paths.- Inventory: Seven Unique Cosmic Axes ofSymmetry.- 15. From Geodesic to Tensegrity: The Invisible Made Visible.- Theory Behind Geodesic Structures: Summary.- Geodesic Design in Nature.- Geodesic Domes: Design Variables.- 16. “Design Science”.- “Comprehensive Anticipatory Design Science”.- “Comprehensive... ”.- “... Anticipatory... ”.- Dymaxion Map.- Suspended Storage Systems.- More with Less.- Appendices.- A. Trigonometric Calculations.- B. Volume Calculations for Three Prime Structural Systems.- C. Sources of Additional Information.- D. Special Properties of the Tetrahedron.- E. Glossary.- Notes.