Table of Contents
400.00 SYSTEM
400.01 Definition: System
400.20 Comprehensibility of Systems
400.30 Tiger’s Skin
400.40 Finiteness of Systems
400.50 Other Characteristics of Systems
400.53 Interconnection of Systems
400.55 Polyhedra
400.60 Motion of Systems
400.65 Summary: Six Positive and Negative Motions
400.651 Energetic Functions
400.653 Structural Functions
400.654 Summary
400.66 Basic Motions and Degrees of Freedom
400.70 Visibility and Invisibility of Systems
401.00 Twelve Vectors of Restraint, Six Positive and Six Negative, Define Minimum System
401.02 Tetherball
402.00 Tetrahedron as System
403.00 Stable and Unstable Systems
403.02 Conceptuality
403.03 Generalized Principles
410.00 Closest Packing of Spheres
410.01 Nature’s Coordination
410.10 Omnitriangulation of Sixty Degrees
411.00 Four Spheres as Minimum System
411.10 Unpredicted Degrees of Freedom
411.20 Discovery as a Function of Loss
411.30 Intergeared Mobility Freedoms
412.00 Closest Packing of Rods
412.02 Surface Tension Capability
413.00 Omnidirectional Closest Packing
414.00 Nucleus
415.00 Concentric Shell Growth Rates
415.01 Minimal Most Primitive Concentric Shell Growth Rates of Equiradius, Closest-Packed, Symmetrical Nucleated Structures
415.02 Odd or Even Shell Growth
415.03 Even Number Shell Growth
415.10 Yin-Yang As Two (Note to Chart 415.03)
415.17 Nucleated Cube: The “External” Octahedron
415.20 Organics
415.30 Eight New Nuclei at Fifth Frequency of Vector Equilibrium
415.40 Begetted Eightness
415.50 Vector-Equilibrium Closest-Packing Configurations
415.55 Nucleus and Nestable Configurations in Tetrahedra
415.58 Basic Nestable Configurations
416.00 Tetrahedral Precession of Closest-Packed Spheres
417.00 Precession of Two Sets of 60 Closest-packed Spheres
418.00 Analogy of Closest Packing, Periodic Table, and Atomic Structure
419.00 Super-Atomics
419.10 Nuclear Domain and Elementality
419.20 Elemental Identification of First and Second Shell Layers
419.23 Table: Number of Protons and Neutrons in Magnesium, Molybdenum, and Uranium
419.30 Closest-sphere-packing Analogy to Atomic Structure
420.00 Isotropic Vector Matrix
420.04 Equilibrium
421.00 Function of Nucleus in Isotropic Vector Matrix
421.031 Function of Nucleus in the Isotropic Vector Matrix
421.10 Corollary
421.20 Ideal Vectorial Geometry of Nucleated Systems
422.00 Octet Truss
422.10 Force Distribution
422.20 Geometry of Structure
423.00 60-Degree Coordination
423.10 Hexagon as Average of Angular Stabilizations
424.00 Transformation by Complementary Symmetry
425.00 Potentially of Vector Equilibrium
426.00 Spherics
426.04 Spherics
426.10 Definition of a spheric
426.20 Allspace Filling
426.30 Spherics and Modularity
426.40 Radiant Valvability of Isotropic-Vector-Matrix-Defined Wavelength
427.00 Nuclear Computer Design
427.10 Invisible Circuitry of Nature
430.00 Vector Equilibrium
430.01 Definition
431.00 Volume
432.00 Powering
433.00 Outside Layer of Vector Equilibrium
440.00 Vector Equilibrium as Zero Model
440.09 Zerophase
441.00 Vector Equilibrium as Zero Tetrahedron
441.01 Emptiness at the Center
441.021 Zerovolume Tetrahedron
441.03 Terminal Condition
441.10 Coordinate Symmetry
441.20 Turbining
442.00 Polarization of Vector Equilibrium
443.00 Vector Equilibrium as Equanimity Model
445.00 Frequency of Vector Equilibrium
450.00 Great Circles of the Vector Equilibrium and Icosahedron
450.10 Great circles of the Vector Equilibrium
450.11 Four Sets of Axes of Spin
451.00 Vector Equilibrium: Axes of Symmetry and Points of Tangency in Closest Packing of Spheres
452.00 Vector Equilibrium: Great-Circle Railroad Tracks of Energy
453.00 Vector Equilibrium: Basic Equilibrium LCD Triangle
453.02 Inside-Outing of Triangle
454.00 Vector Equilibrium: Spherical Polyhedra Described by Great Circles
455.00 Great-Circle Foldabilitities of Vector Equilibrium
455.01 Foldability of Vector Equilibrium Four Great-Circle Bow Ties
455.10 Foldability of Vector Equilibrium Six Great-Circle Bow Ties
455.20 Foldability of 12 Great Circles into Vector Equilibrium
456.00 Transformation of Vector Equilibrium into Icosahedron
456.10 Icosahedron as Contraction of Vector Equilibrium
456.20 Single-Layer Contraction
457.00 Great Circles of Icosahedron
457.01 Three Sets of Axes of Spin
457.20 Six Great Circles of Icosahedron
457.30 Axes of Symmetry of Icosahedron
457.40 Spherical Polyhedra in Icosahedral System
460.00 Jitterbug: Symmetrical Contraction of Vector Equilibrium
460.01 Definition
461.00 Recapitulation: Polyhedral Progression in Jitterbug
461.02 Icosahedron
461.07 Octahedron
461.08 Tetrahedron
461.10 Deceptiveness of Topology: Quanta Loss by Congruence
462.00 Rotation of Triangle in Cube
463.00 Diagonal of Cube as Wave-Propagation Model
464.00 Triangle in Cube as Energetic Model
465.00 Rotation of Four Axes of Vector Equilibrium: Triangles, Wheels, and Cams
465.10 Wheels: Rubber Tires
465.20 Torus
465.30 Four-Dimensional Modility
465.40 Triangular-cammed, In-out-and-around Jitterbug Model
466.00 Energy-valve Functioning of Outer Shell of Nuclear Domains
466.10 High-frequency Sphericity Approaches Flatness
466.20 Centrifugal Forces
466.30 Nuclear Tetrahedra Pairs: Closest-sphere-packing Functions
466.40 Universial Section of Compound Molecular Matrix
470.00 Allspace-Filling Transformations of Vector Equilibrium
480.00 Tetrahedron Discovers Itself and Universe
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Copyright © 1997 Estate of Buckminster Fuller