Table of Contents
1000.00 OMNITOPOLOGY
1001.00 Inherent Rationality of Omnidirectional Epistemology
1001.10 Spherical Reference
1001.20 Field of Geodesic Event Relationships
1002.10 Omnidirectional Nucleus
1003.10 Isotropic-Vector-Matrix Reference
1004.10 An Omnisynergetic Coordinate System
1005.10 Inventory of Omnidirectional Intersystem Precessional Effects
1005.15 Volume and Area Progressions
1005.20 Biospherical Patterns
1005.30 Poisson Effect
1005.40 Genetic Intercomplexity
1005.50 Truth and Love: Linear and Embracing
1005.60 Generalization and Polarization
1005.611 Metabolic Generalizations
1006.10 Omnitopology Defined
1006.20 Omnitopological Domains
1006.30 Vector Equilibrium Involvement Domain
1006.40 Cosmic System Eight-dimensionality
1007.10 Omnitopology Compared with Euler's Topology
1007.20 Invalidity of Plane Geometry
1008.10 Geodesic Spheres in Closest Packing
1009.00 Critical Proximity
1009.10 Interference: You Really Can t Get There from Here
1009.20 Magnitude of Independent Orbiting
1009.30 Symmetrical Conformation of Flying-Star Teams
1009.40 Models and Divinity
1009.50 Acceleration
1009.60 Hammer-Thrower
1009.69 Comet
1009.70 Orbital Escape from Earth s Critical-Proximity Programmability
1009.80 Pea-Shooter Sling-Thrower. and Gyroscope: Gravity and Mass- Attraction
1010.00 Prime Volumes
1010.10 Domain and Quantum
1010.20 Nonnuclear Prime Structural Systems
1011.00 Omnitopology of Prime Volumes
1011.10 Prime Enclosure
1011.20 Hierarchy of Nuclear Aggregations
1011.30 Prime Tetra Octa and Icosa
1011.40 Congruence of Vectors
1011.50 Instability of Vector Equilibrium
1012.00 Nucleus as Nine = None = Nothing
1012.10 Positive-Negative Wave Pattern
1012.20 Pumping Model
1012.30 Indestructibility of Tetrahedron
1013.00 Geometrical Function of Nine
1013.10 Unity as Two: Triangle as One White Triangle and One Black Triangle
1013.20 Complementarity and Parity
1013.30 Eight Three-petaled Tetrahedral Flower Buds
1013.40 Nine Schematic Aspects of the Tetrahedron
1013.50 Visible and Invisible Tetrahedral Arrays
1013.51 Visibly Demonstrable: Physical
1013.52 Invisible But Thinkable: Metaphysical
1013.60 Quantum Jump Model
1020 00 Compound Curvature: Chords and Arcs
1021.10 Convexity and Concavity of Tetrahedron
1022.10 Minimum Sphere
1023.10 Systematic Enclosure
1024.10 What Is a Bubble?
1025.10 Closest Packing of Bubbles
1030.00 Omniequilibrium
1030.10 Omniequilibrium of Vector Equilibrium
1030.20 Gravitational Zone System
1031.10 Dynamic Symmetry
1032.00 Convex and Concave Sphere-Packing Intertransformings
1032.10 Convex and Concave Sphere-Packing Intertransformings as the Energy Patterning Between Spheres and Spaces of Omni-Closest- Packed Spheres and Their Isotropic-Vector-Matrix Field
1032.20 Energy Wave Propagation
1032.30 Complementary Allspace Filling of Octahedra and Vector Equilibria
1033.00 Intertransformability Models and Limits
1033.010 Involvement Field Integrates Topology Electromagnetics Chemistry and Cosmology
1033.020 Four-triangular-circuits Tensegrity
1033.030 Untenable Equilibrium Compulsion
1033.10 Octave System of Polyhedral Transformations
1033.120 Click-stop Subdivisioning
1033.180 Vector Equilibrium: Potential and Primitive Tetravolumes
1033.192 Table: Prime Number Consequences of Spin-Halving of Tetrahedron's Domain Unity
1033.20 Table: Cosmic Hierarchy of Primitive Polyhedral Systems
1033.30 Symmetrical Contraction of Vector Equilibrium: Quantum Loss
1033.40 Asymmetrical Contraction of Vector Equilibrium: Quantum Loss
1033.50 Quanta Loss by Congruence
1033.51 Euler's Uncored Polyhedral Formula
1033.60 Primitive Dimensionality
1033.61 Fifth Dimension Accommodates Physical Size
1033.62 Zerovolume Tetrahedron
1033.63 Prefrequency and Initial Frequency Vector Equilibrium
1033.64 Eightness Dominance
1033.65 Convergent-divergent Limits
1033.66 Terminal Reversings of Evolution and Involution
1033.70 Geometrical 20-ness and 24-ness of Vector Equilibrium
1033.73 The Quantum Leap
1033.80 Possible Atomic Functions in Vector Equilibrium Jitterbug
1033.90 Spheres and Spaces
1040.00 Seven Axes of Symmetry
1041.00 Superficial Poles of Internal Axes
1041.10 Seven Axes of Truncated Tetrahedron
1042.00 Seven Axes of Symmetry
1043.00 Transformative Spherical Triangle Grid System
1044.00 Minimum Topological Aspects
1044.01 Euler + Synergetics
1050.00 Synergetic Hierarchy
1050.10 Synergy of Synergies
1050.20 Trigonometry
1050.30 Simplest Trigonometric Solutions
1051.00 Circumference and Leverage
1051.10 Complementarity of Circumferential Oscillations and Inward and Outward Pulsations
1051.20 Central and External Angles of Systems
1051.30 The Circumferential Field
1051.40 Angular Functionings of Radiation and Gravity
1051.50 Leverage
1052.00 Universal Integrity
1052.10 Second-Power Congruence of Gravitational and Radiational Constants
1052.20 Spherical Field
1052.30 Gravitational Constant: Excess of One Great Circle over Edge Vectors in Vector Equilibrium and Icosahedron
1052.32 Possibility of Rational Prime Numbers in High-energy Physics Experiments
1052.350 Microsystems
1052.360 Mite as Model for Quark
1052.40 Vector Equilibrium and Icosahedron: Ratio of Gravitational and Electromagnetic Constants
1052.50 Syntropy and Entropy
1052.51 Meshing and Nonmeshing
1052.54 Order and Disorder: Birth and Growth
1052.58 Pattern Sorting and Observing
1052.60 Physical Limit and Metaphysical Absolute
1052.80 Radiation-Gravitation: Electromagnetic Membrane
1052.81 Membrane Model
1053.00 Superficial and Volumetric Hierarchies
1053.10 Spherical Triangular Grid Tiles
1053.20 Platonic Polyhedra
1053.30 LCD Superficial Quantation of Systems
1053.36 Sphere: Volume-surface Ratios
1053.40 Superficial Hierarchy
1053.41 Table: Spherical Surface Hierarchy
1053.50 Volumetric Hierarchy
1053.51 Table: Volumetric Hierarchy
1053.51A Table: Volumetric Hierarchy (Revised)
1053.60 Reverse Magnitude of Surface vs. Volume
1053.601 Octahedron
1053.70 Container Structuring: Volume-surface Ratios
1053.80 Growth and Decay
1053.82 Life and Death
1053.83 Positive Visible and Integral Invisible
1053.84 Cay and Decay
1053.849 Table: Initial Frequencies of Vector Equilibrium
1053.85 Inventory of Alternatives to Positive
1054.00 Relationship of Gibbs to Euler
1054.10 Synergetic Analysis
1054.20 Relationship of Gibbs to Euler
1054.30 Synergetic Integration of Topology and Quanta
1054.40 Topology and Phase
1054.50 Polyhedral Bonding
1054.60 Orbit as Normal
1054.70 Time as Frequency
1055.00 Twentyfoldness of Amino Acid System Indestructibility
1055.01 Return to the Shell of Homogenized Contents of an Egg
1055.03 Icosahedral Twentyness
1055.04 Magic Number Twentyness
1055.05 Vector Equilibrium Twentyness
1055.06 Twentyness in Mass Ratio of Electron and Neutron
1055.07 Twentyness of Maximum Limit Nonnuclear Tetrahedron
1055.08 Twenty-Sphere Models of DNA-RNA Compounds
1056.00 Hierarchy of Generalizations
1056.01 Epistemology
1056.10 Cosmic Hierarchy of Comprehensively Embracing Generalizations
1056.20 Cosmic Hierarchy of Comprehensively Embracing and Permeating Generalizations-of-Generalization = ggn
1060.00 Omnisensorial Accommodation
1061.10 Tree Structure
1061.20 Conic Geometry of Trees
1070.00 Plurality of Inherent Topological Twonesses
1071.00 Systematic Character of Prime Thinkability
1071.10 Prime
1071.20 Systematic Realization
1072.00 Definability of Structural Systems
1072.10 Proposition to Be Proven
1072.20 Generalized Topological Definability
1072.30 Wave and Particle Definability
1073.00 Cosmic Inherency
1073.10 Four Kinds of Twoness
1073.15 The Indispensable Center
1073.20 Interrelationship Twoness: Third Kind of Twoness
1074.00 Prime Nuclear Structural Systems
1074.20 Omnitopological Domains
1074.30 Spin Twoness and Duality Twoness
1075.00 Special Case: Energy and Information
1075.20 Equation of Intellect
1076.00 Primitive Regeneration
1077.00 Prime Number Inherency and Constant Relative Abundance
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Copyright © 1997 Estate of Buckminster Fuller