Author | Edmondson, Amy C. author |
---|---|
Title | A Fuller Explanation [electronic resource] : The Synergetic Geometry of R. Buckminster Fuller / by Amy C. Edmondson |
Imprint | Boston, MA : Birkhรคuser Boston, 1986 |
Connect to | http://dx.doi.org/10.1007/978-1-4684-7485-5 |
Descript | XXVI, 302 p. 219 illus. online resource |
1. Return to Modelability -- From Geometry to Geodesics: A Personal Perspective -- 2. The Irrationality of Pi -- โ{128}{156}Nature Isnโ{128}{153}t Using Piโ{128}{157} -- Finite Accounting System -- Which Way Is โ{128}{156}Upโ{128}{157}? -- 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 -- Platoโ{128}{153}s Discovery -- Eulerโ{128}{153}s Law -- Duality -- Truncation and Stellation -- โ{128}{156}Intertransformabilityโ{128}{157} -- Symmetry -- 5. Structure and โ{128}{156}Pattern Integrityโ{128}{157} -- Pattern Integrity -- Structure -- 6. Angular Topology -- Frequency and Size -- Topology and Vectors -- Dimension -- Angular Topology -- 7. Vector Equilibrium -- โ{128}{156}Natureโ{128}{153}s Own Geometryโ{128}{157} -- 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: โ{128}{156}Synergetics Accountingโ{128}{157} -- Cells: โ{128}{156}Inherent Complementarityโ{128}{157} -- 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. โ{128}{156}All-Spaceโ{128}{157} 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 of Symmetry -- 15. From Geodesic to Tensegrity: The Invisible Made Visible -- Theory Behind Geodesic Structures: Summary -- Geodesic Design in Nature -- Geodesic Domes: Design Variables -- 16. โ{128}{156}Design Scienceโ{128}{157} -- โ{128}{156}Comprehensive Anticipatory Design Scienceโ{128}{157} -- โ{128}{156}Comprehensive... โ{128}{157} -- โ{128}{156}... Anticipatory... โ{128}{157} -- 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