Table of Contents
900.00 MODELABILITY
900.01 Definition: Modelability
900.10 Modelability
900.20 Synergetics
900.30 Model vs Form
901.00 Basic Disequilibrium LCD Triangle
901.01 Definition
901.10 Geodesic Dome Calculations
901.19 Omnirational Control Matrix: Commensurability of Vector Equilibrium and Icosahedron
902.00 Properties of Basic Triangle
902.01 Subdivision of Equilateral Triangle
902.10 Positive and Negative Alternation
902.20 Spherical Right Triangles
902.30 Surface Angles and Central Angles
905.00 Equilibrium and Disequilibrium Modelability
905.01 Tetrahedron as Model
905.10 Doubleness of Unity
905.30 Hierarchy of Pulsating Tetrahedral Arrays
905.50 Rotatability and Split Personality of Tetrahedron
905.60 The Disequilibrium 120 LCD Triangle
905.70 Summary: Wave Propagation Model
910.00 A and B Quanta Modules
910.10 Rational Fraction Elements
911.00 Division of Tetrahedron
912.00 Division of Octahedron
913.00 A Quanta Module
913.10 Positive and Negative
914.00 A Quanta Module: Foldability
914.10 Four Right Angles c
914.20 Unfolding into a Flat Triangle
914.30 Spiral Foldability
915.00 Twinkle Angle
915.10 A Quanta Module Triangle and Basic Disequilibrium 120 LCD
Triangle
915.20 Probability of Equimagnitude Phases
916.00 B Quanta Module
920.00 Functions of A and B Modules
921.00 Energy Deployment in A and B Quanta Modules
921.10 Energy Behavior in Tetrahedra
921.20 Energy Characteristics of A Quanta Module
921.30 Energy Characteristics of B Quanta Module
921.40 Summary
922.00 Conceptual Description and Contrast
923.00 Constant Volume
923.10 Precession of Two Module Edges
923.15 One Tetra Edge Constant
923.20 Constant Volume
923.30 Energy Accommodation
924.00 Congruence of Centers
924.10 Congruence of A and B Quanta Module Centers
924.20 Table of Tetrahedral Functions of A and B Quanta Modules
930.00 Tetrahelix: Unzipping Angle
930.10 Continuous Strip Pattern: "Come and Go"
930.20 Pattern Strips Aggregate Wrapabilities
931.00 Chemical Bonds
931.10 Omnicongruence
931.20 Single Bond
931.30 Double Bond
931.40 Triple Bond
931.50 Quadruple Bond
931.60 Quadrivalence of Energy Structures Closer-Than-Sphere Packing
932.00 Viral Steerability
933.00 Tetrahelix
933.08 Closest Packing of Different-sized Balls
934.00 Unzipping Angle
935.00 Octahedron as Conservation and Annihilation Model
935.10 Energy Flow and Discontinuity
935.20 Precessional Transformation in Quantum Model
935.221 Coming -Apart Phase: Coming-Apart Limit
936.00 Volumetric Variability with Topological Constancy
936.10 Symmetrical and Asymmetrical Contraction
936.20 Conceptual Conservation and Annihilation
937.00 Geometry and Number Share the Same Model
937.10 Midway Between Limits
937.20 Doubleness of Octahedron
937.30 Octahedron as Sphere of Compression
938.00 Jitterbug Transformation and Annihilation
938.10 Positive and Negative Tetrahedra
940.00 Hierarchy of Quanta Module Orientations
940.10 Blue A Modules and Red B Modules
941.00 Relation of Quanta Modules to Closest-Packed Sphere Centers
942.00 Progression of Geometries in Closest Packing
942.10 Tetrahedron
942.15 Quarter-Tetrahedra
942.20 Isosceles Dodecahedron
942.30 Octahedron
942.40 Cube
942.50 Rhombic Dodecahedron
942.60 Vector Equilibrium
942.70 Tetrakaidecahedron
943.00 Table: Synergetics Quanta Module Hierarchy
950.00 Allspace Filling
950.10 Self-Packing Allspace-Filling Geometries
950.20 Cubical Coordination
950.30 Tetrahedron and Octahedron as Complementary Allspace Fillers: A and B Quanta Modules
951.00 Allspace-Filling Tetrahedra
951.10 Synergetic Allspace-Filling Tetrahedron
953.00 Mites and Sytes: Minimum Tetrahedra as Three-Module Allspace Fillers
953.10 Minimum Tetrahedron" Mite
953.20 Positive or Negative
953.30 Tetrahedron as Three-Petaled Flower Bud
953.40 Symmetrical Tetrahedron: Syte
953.50 Geometrical Combinations
953.60 Prime Minimum System
954.00 Mite as the Coupler's Asymmetrical Octant Zone Filler
954.10 Allspace-Filling Hierarchy as Rationally Quantifiable in Whole Volume Units of A or B Quanta Modules
954.10A Allspace-Filling Hierarchy as Rationally Quantifiable in Whole Volume Units of A or B Quanta Modules (Revised)
954.20 Coupler
954.30 Nuclear Asymmetric Octahedra
954.40 Functions of the Coupler
954.70 The Coupler: Illustrations
955.00 Modular Nuclear Development of Allspace-Filling Spherical Domains
955.10 Mexican Star
955.20 Modular Development of Omnisymmetric, Spherical Growth Rate Around One Nuclear Sphere of Closest-Packed, Uniradius Spheres
955.30 Possible Relevance to Periodic Table of the Elements
955.40 Table: Concentric Domain Growth Rates
955.41 Table: Spherical Growth Rate Sequence
955.50 Rhombic Dodecahedron at heart of Vector Equilibrium
960.00 Powers and Dimensions
960.01 The Coordination of Number Powers and Geometrical Dimensions
961.00 Unitary Quantation of Tetrahedron
961.10 Granted: A Slidable Model of Constant Volume
961.20 Granted: A Model of Comprehensive Covariability
961.30 Granted: A Model for Third-Power Rate of Variation
961.40 Granted: A Model for Six Degrees of Freedom
962.00 Powering in the Synergetics Coordinate System
962.10 Angular and Linear Accelerations
962.20 Convergence
962.30 Calculation of Local Events
962.40 Time and Dimension
962.50 Omnidirectional Regeneration
963.00 First Power: One Dimension
963.10 Synergetic Constant
964.00 Second Power: Two Dimensions
964.10 Spherical Growth Rate
964.20 Vertexial Topology
964.30 Shell Accounting
965.00 Third Power: Three Dimensions
966.00 Fourth Power: Four Dimensions
966.10 Fourth Power in Physical Universe
966.20 Tetrahedron as Fourth-Dimension Model
970.00 First- and Third-Power Progressions of Vector Equilibria
970.01 Operational Note
970.10 Rationality of Planar Domains and Interstices
970.20 Spheres and Spaces
971.00 Table of Basic Vector Equilibrium Shell Volumes
971.01 Concentric Sphere Shell Growth Rates
971.20 Pulsation Between Icosahedron and Vector Equilibrium
972.00 Universal Integrity Model
972.01 Gravitational-Radiational
973.00 Basic Tetrahedra as Volumetric Modules
973.01 Basic Tetrahedron
973.10 Regular Tetrahedron
973.20 Functions of A and B Quanta Modules and Sytes
973.30 Particle and Wave Involvement
974.00 Initial Frequency
980.00 Pi and Synergetics Constant
980.01 Relative Superficial and Volumetric Magnitudes
980.02 Starting With Just Twoness
981.00 Self and Otherness Sequence
982.00 Cubes, Tetrahedra, and Sphere Centers
982.01 Spheric Domain
982.10 Noncongruence of Cube and Sphere Centers
982.20 Starting With Parts: The Nonradial Line
982.30 Diagonal of Cube as Control Length
982.40 Tetrahedron and Synergetics Constant
982.50 Initial Four-Dimensional Modelability
982.61A Cosmic Hierarchy of Omnidirectionally-phased Nuclear-centered, Convergently-divergently Intertransformable Systems
982.62 Table of Tetra Values of Nuclear Hierarchies
982.62A Table: Concentric, 12-around-one, Closest-packed Spheres Omniembracing Our Hierarchy of Nuclear-Event Patternings (revised)
982.63 Sphere and Vector Equilibrium
982.70 Hierarchy of Concentric Symmetrical Geometries
982.80 Closest Packing of Circles
983.00 Spheres and Interstitial Spaces
983.01 Frequency
983.02 Sphere Layers
984.00 Rhombic Dodecahedron
985.00 Synergetics Rational Constant Formulas for Area of a Circle and Area and Volume of a Sphere
985.10 Table: Triangular Area of a Circle of Radius 1
985.20 Spheric Experience
986.00 T and E Quanta Modules
986.010 Narrative Recapitulation
986.020 Elementary School Definitions
986.030 Abstraction
986.040 Greek Geometry
986.050 Unfamiliarity with Tetrahedra
986.060 Characteristics of Tetrahedra
986.065 Joints, Windows, and Struts
986.070 Buildings on Earth's Surface
986.080 Naive Perception of Childhood
986.090 The Search for Nature's Coordinate System
986.094 Expanding Universe
986.100 Sequence of Considerations
986.110 Consideration 1: Energetic Vectors
986.120 Consideration 2: Avogadro's Constant Energy Accounting
986.130 Consideration 3: Angular Constancy
986.140 Consideration 4: Isotropic Vector Model
986.150 Consideration 5: Closest Packing of Spheres
986.160 Consideration 6: Diametric Unity
986.170 Consideration 7: Vector Equilibrium
986.180 Consideration 8: Concentric Polyhedral Hierarchy
986.190 Consideration 9: Synergetics
986.200 Narrative Exposition of Spherical Accommodation
986.201 Consideration 10: The Spheric Experience: Energetic-reality Accounting vs Abstract-cubic Accounting
986.230 System Spinnability
986.240 The Sphere Experimentally Defined
986.300 Minimum-maximum System Limits
986.301 Consideration 11: Maximum-Limit Case
986.310 Strategic Use of Min-max Cosmic System Limits
986.400 T Quanta Module
986.401 Consideration 12: Dynamic Spinning of Rhombic Triacontahedron
986.410 T Quanta Module
986.420 Min-max Limit Hierarchy of Pre-time-size Allspace-fillers
986.422 Mite
986.426 Syte
986.428 Kite
986.430 Octet
986.431 Coupler
986.432 Cube
986.433 Rhombic Dodecahedron
986.440 Table: Set of Simple Allspace-fillers
986.450 Energy Aspects of Spherical Modular Arrays
986.470 Geodesic Aspects of Spherical Modular Arrays
986.480 Consideration 13: Correspondence of Surface Angles and Central Angles
986.500 E Quanta Module
986.501 Consideration 14: Great-circle Foldable Discs
986.520 Einstein's Equation
986.540 Volume-surface Ratios of E Quanta Module and Other Modules
986.550 Table: Relative Surface Areas Embracing Hierarchy of Energetic Quanta Modules
986.560 Surprise Nestability of Minimod T into Maximod T
986.570 Range of Modular Orientations
986.580 Consideration 15: Surface Constancy and Mass Discrepancy
986.600 Surface-volume Ratios in the Atomic Theater
986.610 Considerations, Recalls, and Discoveries
986.620 Demass Breakpoint Model of Macrotude-microtude Difference Between Matter and Radiation
986.630 Interkinetic Limits
986.700 Spheric Nature of Electromagnetic Waves
986.701 Consideration 16: and Realization of Synergetic Significance
986.710 Recapitulation of Geometry-and-energy Recalls
986.720 Absolute Constancy: Cheese Polyhedra
986.730 The Spheric Experience
986.740 Microenergy Transformations of Octet Truss
986.750 Universal Accommodation of Vector Equilibrium Field: Expanding Universe
986.770 Shell Growth Rate Predicts Proton and Neutron Population of the Elements
986.800 Behavioral Proclivities of Spheric Experience
986.810 Discard of Abstract Dimensions
986.830 Unrealizability of Primitive Sphere
986.840 Primitive Hierarchy as Physical and Metaphysical
986.850 Powering as Systemic-integrity Factors
986.860 Rhombic Dodecahedron 6 Minus Polyhedron 5 Equal Unity
986.870 Nuclear and Nonnuclear Module Orientations
987.00 Multiplication Only by Division
987.010 Operational Scenario in Proof of Multiplication Only By Progressive Divisioning of Simplest Vectorially Structured Polyhedra
987.020 Topological Uniqueness
987.030 Finite Synergetics
987.040 Macro-medio-micro Mensuration Limits
987.050 Intercommensurable Functions of Jitterbug
987.060 Isotropic Limits
987.067 Octaphase
987.070 Topological Minima
987.080 Vertexial Spheres Form Rigids
987.100 Great-circle-spun Symmetries and Cleavagings
987.110 Intercommensurability Functions
987.120 Sequence of Symmetries and Cleavagings
987.121 Table
987.130 Primary and Secondary Great-circle Symmetries
987.200 Cleavagings Generate Polyhedral Resultants
987.210 Symmetry #1 and Cleavage #1
987.220 Symmetry #2 and Cleavage #4
987.230 Symmetries #1 & 3: Cleavages #1 & 2
987.240 Symmetry #3 and Cleavage #3
987.250 Other Symmetries
987.300 Interactions of Symmetries: Spheric Domains
987.310 Irrationality of Nucleated and Nonnucleated Systems
987.400 Interactions of Symmetries: Secondary Great-circle Sets
987.410 Icosa Phase of Rationality
988.00 Icosahedron and Octahedron: S Quanta Module
988.100 Octa-icosa Matrix
988.20 Table: Volume-area Ratios of Modules and Polyhedra of the Primitive Hierarchy
990.00 Triangular and Tetrahedral Accounting
995.00 Vector Models of Magic Numbers
995.01 Magic Numbers
995.10 Sequence
995.12 Magic Number 28
995.20 Counting
995.30 Reverse Peaks in Descending Isotope Curve
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Copyright © 1997 Estate of Buckminster Fuller