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A Fuller explanation : the synergetic geometry of R. Buckminster Fuller

Author: Amy C Edmondson
Publisher: Boston : Birkhäuser, ©1987.
Series: Design science collection.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
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Additional Physical Format: Online version:
Edmondson, Amy C.
Fuller explanation.
Boston : Birkhäuser, ©1987
(OCoLC)569568988
Named Person: R Buckminster Fuller; Fuller; R Buckminster Fuller; R Buckminster Fuller; Richard Buckminster Fuller
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Amy C Edmondson
ISBN: 0817633383 9780817633387 3764333383 9783764333386
OCLC Number: 13823498
Notes: "A Pro scientia viva title."
Description: xx, 302 pages : illustrations ; 25 cm.
Contents: 1. Return to Modelability.- From Geometry to Geodesics: A Personal Perspective.- Operational Mathematics.- Experimental Evidence.- Nature's Coordinate System.- Universe.- Generalized Principles.- Return to Modelability.- 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.- Synergy.- 4. Tools of the Trade.- Plato's Discovery.- Triangles.- Squares.- Pentagons.- A Limited Family.- Euler's Law.- Duality.- Truncation and Stellation.- An Experiment.- "Intertransformability".- Symmetry.- 5. Structure and "Pattern Integrity".- Pattern Integrity.- Structure.- 6. Angular Topology.- Frequency and Size.- Units of Measurement.- Time and Repetition: Frequency versus Continuum.- Topology and Vectors.- Vector Polyhedra.- Dimension.- Size.- Planes of Symmetry.- Other Applications of Dimension.- Angular Topology.- Angular Takeout: An Example.- Angle Types.- 7. Vector Equilibrium.- "Nature's Own Geometry".- Spatial Considerations.- Planar Equilibrium.- Cuboctahedron as Vector Equilibrium.- VE: Results.- Degrees of Freedom.- 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.- Background: Closepacking.- Planes of Symmetry.- Fuller Observations.- Tetrahedra.- Vector Equilibrium.- Frequency.- Icosahedron.- Further Discoveries: Nests.- "Interprecessing".- A Final Philosophical Note.- 9. Isotropic Vector Matrix.- A Quick Comparison: "Synergetics Accounting".- Cells: "Inherent Complementarity".- A Complete Picture.- Angles.- Locating New Polyhedral Systems.- Duality and the IVM.- Angles.- Polyhedra.- Domain.- Framework of Possibility.- Invention: Octet Truss.- 10. Multiplication by Division: In Search of Cosmic Hierarchy.- Volume.- Results: Volume Ratios.- Shape Comparisons: Qualities of Space.- Volume: Direct Comparison.- Multiplication by Division.- Tetrahedron as Starting Point.- Cube.- Vector Equilibrium.- Rhombic Dodecahedron.- Multiplication by Division.- Cosmic Hierarchy (of Nuclear Event Patternings).- Volume Reconsidered.- 11. Jitterbug.- Folding a Polyhedron.- Volume and Phase Changes.- Icosahedron.- Single Layer versus IVM.- "Trans-Universe" versus "Locally Operative".- Fives.- "S-Modules".- Icosahedron and Rhombic Dodecahedron.- Pentagonal Dodecahedron.- Four Dimensions.- Complex of Jitterbugs.- Other Dynamic Models.- Topology and Phase.- 12. "All-Space" Filling: New Types of Packing Crates.- Plane Tessellations.- Filling Space.- Complementarity.- Other Space Fillers.- The Search Continues.- The Dual Perspective.- Duality and Domain in Sphere Packing.- Truncated Octahedron.- Two to One: A Review.- 13. The Heart of the Matter: A- and B-Quanta Modules.- A-Quanta Modules.- B-Quanta Modules.- Energy Characteristics.- Mite.- Mirrors.- Cubes into Mites.- Rhombic Dodecahedra.- Coupler.- Volume and Energy.- Review: All-Space Fillers.- 14. Cosmic Railroad Tracks: Great Circles.- Why Are We Talking About Spheres?.- New Classification System.- Great-Circle Patterns.- Least Common Denominator.- LCD: "Intertransformability".- LCD of 31 Great Circles.- VE's 25 Great Circles.- Operational Mathematics.- Conservation of Angle.- Foldable Systems.- Energy Paths.- Gas Molecules.- Great-Circle Railroad Tracks of Energy.- Icosahedron as Local Shunting Circuit.- Inventory: Seven Unique Cosmic Axes of Symmetry.- Excess of One.- 15. From Geodesic to Tensegrity: The Invisible Made Visible.- Theory Behind Geodesic Structures: Summary.- Geodesic Design in Nature.- Geodesic Domes: Design Variables.- Tensegrity.- Nature's Example.- New Concept of Construction.- Modeling the Invisible.- Tensegrity Polyhedra.- Pneumatics.- Case in Point: Donald Ingber.- 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.
Series Title: Design science collection.
Responsibility: Amy C. Edmondson.
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