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Books by R. Buckminster Fuller
Acknowledgements
Scenarios
Explicit: A note to the reader
Preface
Moral of the Work
Author’s Note on the Rationale for Repetition in This Work
Introduction: The Wellspring of Reality
000.00 Humans in Universe
000.100 Introduction to 10 Color Posters
100.00 Synergy
100.01 Introduction: Scenario of the Child
100.030 Resolvability Limits
100.10 Subdivision of Tetrahedral Unity
100.30 Omnirational Subdividing
100.320 Modular Subdivision of the Cosmic Hierarchy
100.330 “Me” Ball
100.40 Finite Event Scenario
100.41 Foldability of Triangles into Tetrahedra
100.60 Finite Episoding
101.00 Definition: Synergy
108.00 Four Triangles Out of Two
109.00 Chrome-Nickel-Steel
120.00 Mass Interattraction
130.00 Precession and Entropy
140.00 Corollary of Synergy: Principle of the Whole System
150.00 Synergy-of-Synergies
160.00 Generalized Design Science Exploration
180.00 Design Science and Human-Tolerance Limits
200.00 Synergetics
200.001 Definition: Synergetics
201.00 Experientially Founded Mathematics
201.10 Accommodation of Proclivities, Phases, and Disciplines
201.20 Synergetic Hierarchy: Grand Strategy
202.00 Angular Topology
203.00 Scope
204.00 Paradox of the Computer
205.00 Vector Equilibrium
215.00 A Geometry of Vectors
216.00 Significance of Isotropic Vector Matrix
217.00 Prospects for Synergetics
220.00 Synergetics Principles
220.01 Principles
220.10 Reality and Eternality
221.00 Principle of Unity
222.00 Omnidirectional Closest Packing of Spheres
223.00 Principle of Prime Number Inherency and Constant Relative Abundance of the Topology of Symmetrical Structural Systems
223.70 Planck's Constant
223.80 Energy Has Shape
224.00 Principle of Angular Topology
225.00 Principle of Design Covariables
226.00 Principle of Functions
228.00 Scenario Principle
229.00 Principle of Synergetic Advantage
230.00 Tetrahedral Number
231.00 Principle of Universal Integrity
232.00 Principle of Conservation of Symmetry
240.00 Synergetics Corollaries
250.00 Discoveries of Synergetics
250.01 Discovery
250.10 Academic Grading Variables in Respect to Science Versus Humanities
250.20 My Independent Mathematical Explorations
250.30 Remoteness of Synergetics Vocabulary
250.40 The Climate of Invention
250.50 Coincidental Nature of Discoveries
250.60 Proofs
251.00 Discoveries of Synergetics: Inventory
260.00 The Epistemography of Generalization and Special Case
260.10 Invisibility of Macro- and Microresolutions
260.20 Convergent vs Parallel Perception
260.30 Physical Experience and Closest Packing of Spheres
260.40 Convergence to a Nucleus
260.50 Precession of Two Sets of 10 Closest-Packed Spheres
261.00 Getting Nature into a Corner
262.00 Conceptual Minimum
263.00 Nothingness and Tunability
264.00 Geometry of Self and Otherness
264.10 Prime Othernesses: Single and Plural Otherness
265.00 Unity of Triangulation
266.00 Science and Mathematics in the Language of Electromagnetics
267.00 Observer as Tetrasystem
268.00 Omnioriented Tunability
269.00 Topology of Ins, Outs, and Interrelationships
270.00 Synergetics’ Operational Accountability
270.10 Topological Accountability of All Vanishing and Elsewhere-Reappearing Quanta
300.00 Universe
301.00 Definition: Universe
305.00 Synergetic Advantage: Macro-Micro
306.00 Universe and Self
310.10 Odd Ball
311.00 Humans as Local Universe Technology
311.10 Humans as Ultimate Complexities
320.00 Scenario Universe
325.10 Analogy of Rope-making and Film-strips
325.20 Epistemography of Scenario Universe
326.00 Universe as Metaphysical and Physical
326.10 Precession of Side Effects and Primary Effects
326.20 Pyramid of Generalizations
326.30 Comprehensive Universe
326.40 Metaphysical and Physical: Summary
326.50 Metaphysical and Physical: Cross-references
330.00 Universe as Minimum Perpetual Motion Machine
340.00 Expanding Universe
350.00 Negative Universe
360.00 Universe: System: Conceptuality: Structure
400.00 System
400.01 Definition: System
400.65 Summary: Six Positive and Negative Motions
400.66 Basic Motions and Degrees of Freedom
400.70 Visibility and Invisibility of Systems
401.00 Vectors of Restraint, Six Positive and Six Negative, Define Minimum System (See drawings section.[add ref])
402.00 Tetrahedron as System
403.00 Stable and Unstable Systems
410.00 Closest Packing of Spheres
410.10 Omnitriangulation of Sixty Degrees
411.00 Four Spheres as Minimum System
412.00 Closest Packing of Rods
413.00 Omnidirectional Closest Packing
414.00 Nucleus
415.00 Concentric Shell Growth Rates
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 Superatomics
419.10 Nuclear Domain and Elementality
419.20 Elemental Identification of First and Second Shell
420.00 Isotropic Vector Matrix
420.04 Equilibrium
421.00 Function of Nucleus in Isotropic Vector Matrix
421.20 Ideal Vectorial Geometry of Nucleated Systems
422.00 Octet Truss
423.00 60-Degree Coordination
424.00 Transformation by Complementary Symmetry
425.00 Potentiality of Vector Equilibrium
426.00 Spherics
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
441.00 Vector Equilibrium as Zero Tetrahedron
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
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
454.00 Vector Equilibrium: Spherical Polyhedra Described by Great Circles
455.00 Great-Circle Foldabilities of Vector Equilibrium
456.00 Transformation of Vector Equilibrium into Icosahedron
457.00 Great Circles of Icosahedron
458.00 Icosahedron: Great Circle Railroad Tracks of Energy
459.00 Great Circle Foldabilities of Icosahedron
460.00 Jitterbug: Symmetrical Contraction of Vector Equilibrium
461.00 Recapitulation: Polyhedral Progression in Jitterbug
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
465.40 Triangular-cammed, In-out-and-around Jitterbug Model (Short Title)
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 Universal Section of Compound Molecular Matrix
470.00 Allspace-Filling Transformations of Vector Equilibrium
480.00 Tetrahedron Discovers Itself and Universe
500.00 Conceptuality
501.00 Definition: Conceptuality
501.10 Omnidirectional Halo
501.20 Cosmic Timetable of Cyclic Events
502.00 Experience
502.30 Experimentally Demonstrable vs. Axiomatic
502.40 The "Purely Imaginary Straight Line"
502.50 Experiment
502.60 Happening
503.00 Happenings
504.00 Special Case
504.10 Truth as Special Case Realizations
505.00 Pattern
505.10 Euler: Minimum Aspects of Pattern
505.20 Pattern Integrity
505.30 Waves
Wave or Particle
505.50 Abstract vs Energetic
505.60 Minimum-Limit Case
505.70 Topology of Minimum Awareness
505.80 Background Nothingness
506.00 Knot
506.40 Yin-Yang
507.00 Parity
508.00 Number
509.00 Considerable Set
510.00 Star Events
511.00 Energy Event
512.00 Locality
513.00 Vectorial Orientation and Observation
514.00 Axis of Reference
515.00 Frequency
515.10 Angles
515.15 Complementary Angles
515.20 Energy
516.00 Frequency Modulation
517.00 Interference
517.10 Six Interference Resultants
517.11 Summary of Interference Phenomena
517.20 Tetrahedron of Interferences
518.00 Critical Proximity
519.00 Point
520.00 Wavilinearity: Fixes
520.10 Spirituality
521.00 Vectors: Trajectories
521.10 Tensors
521.20 Lines
521.30 Omnidirectional Force Vectors
522.00 Deliberately Nonstraight Line
522.30 Reduction by Bits
523.00 Vertexes: Crossings
524.00 Novent
524.10 In and Out
524.20 Areas: Faces
524.30 Openings
525.00 Solids: Matter
525.10 Frequency and Interval
526.00 Space
526.10 Systematic Inclusion and Exclusion of Space
526.20 Visual Aspects of Space
526.30 Systematic Communication of Space
527.00 Dimension
527.10 Three Unique Dimensional Abundances
527.20 Non polar Points
527.30 Areas
527.40 Lines
527.50 Fiveness: Five-Dimensionality
527.60 Dimensionality and Constant Relative Abundance
527.70 Primitive Dimensionality
527.71 Substance Is Systemic
528.00 Size
529.00 Time
529.20 No-Time-at-All
529.30 Eternal Instantaneity
530.00 Nonsimultaneity
530.10 Nonsimultaneity of Scenario Universe
537.00 Life
531.10 Life and Death
532.00 Symmetry
532.10 Oscillation of Symmetry and Asymmetry
532.20 Dynamic Symmetry
532.30 Symmetrical and Omnisymmetrical
532.40 Three Basic Omnisymmetrical Systems
533.00 Precession
533.20 Precession and Degrees of Freedom
534.00 Doppler Effect
535.00 Halo Concept
535.70 Spherical Structures
535.20 Building
536.00 Interference Domains of Structural Systems
536.10 Domains of Volumes
536.20 Domain of an Area
536.30 Domain of a Line
536.40 Domain of a Point
536.50 Domains of Actions
537.10 Twelve Universal Degrees of Freedom
537.101 Six Vectors for Every Point
537.14 Basic Event
537.20 High-Tide Aspects
537.30 General Systems Applications
537.40 Game of Universe: Individuality and Degrees of Freedom
537.50 Freedom and Will
538.00 Probability
538.10 Probability Model of Three Cars on a Highway
539.00 Quantum Wave Phenomena
540.00 Frame of Reference
540.10 Prime Vector
540.30 Four-frequency Hyperbolic Paraboloid
540.40 Multidimensional Accommodation
541.00 Radiation and Gravity
541.15 Local Conservation and Cosmic Regeneration
541.20 Solution of Four-Color Theorem
541.30 Photon as Tetrahedral Package
541.40 Islanded Radiation and Tensional Constancy
542.00 Quality
543.00 Reality and Inexactitude
543.10 Local and Cosmic Exactitude
543.20 Gravity and Love
600.00 Structure
600.01 Definition: Structure
601.00 Pattern Conservation
604.00 Structural System
608.00 Stability: Necklace
Even- and Odd-Number Reduction of Necklace Polygons
608.30 Triangle as Minimum-altitude Tetrahedron
609.00 Instability of Polyhedra from Polygons of More Than Three Sides
610.00 Triangulation
610.10 Structural Functions
610.20 Omnitriangular Symmetry: Three Prime Structural Systems
610.30 Structural Harmonics
611.00 Structural Quanta
612.00 Subtriangulation: Icosahedron
613.00 Triangular Spiral Events Form Polyhedra
614.00 Triangle
615.00 Positive and Negative Triangulation of Cube and Vector Equilibrium
616.00 Surface Strength of Structures
617.00 Cube
618.00 Dimpling Effect
620.00 Tetrahedron
621.00 Constant Properties of the Tetrahedron
620.00.1 Tetrahedron
621.30 Camera Tripod
622.00 Polarization of Tetrahedron
623.00 Coordinate Symmetry
624.00 Inside-Outing of Tetrahedron
625.00 Invisible Tetrahedron
625.10 Macro-Micro Invisible Tetrahedra
626.00 Operational Aspects of Tetrahedra
630.00 Antitetrahedron
631.00 Minimum of Four Points
632.00 Dynamic Symmetry of the Tetrahedron
633.00 Negative Tetrahedron
634.00 Irreversibility of Negative Tetrahedral Growth
635.00 Base-Extended Tetrahedron
636.00 Complementary to Vector Equilibrium
637.00 Star Tetrahedron
638.00 Pulsation of Antitetrahedra
639.00 Propagation
640.00 Tension and Compression
641.00 High Tide and Low Tide
642.00 Functions
643.00 Tension and Compression: Summary
644.00 Limitless Ratios of Tension
645.00 Gravity
646.00 Chemical Bonds
646.10 Spherical Behavior of Gravity and Bonding
647.00 Absolute Velocity: Shunting
648.00 Macrocosmic and Microcosmic
650.00 Structural Properties of Octet Truss
650.01 Rationale
650.10 Inherent Nonredundance
700.00 Tensegrity
700.01 Definition: Tensegrity
701.00 Pneumatic Structures
702.00 Geodesics
703.00 Geodesic-Tensegrity Molecular Kinetics of Pneumatic Systems
704.00 Universal Joints
705.00 Simple Curvature: The Barrel
706.00 Compound Curvature: Spherical Cask
707.00 Spherical and Triangular Unity
710.00 Vertexial Connections
711.00 Gravity as a Circumferential Force
712.00 Clothesline
713.00 Discontinuous Compression
713.20 Compression Members
714.00 Interstabilization of Local Stiffeners
715.00 Locked Kiss
716.00 Complex Continuity and Discontinuity in Tensegrity Structures
716.00.1 Convergence
717.00 Single- and Double-Bonding in Tensegrity Spheres
720.00 Basic Tensegrity Structures
721.00 Stability Requires Six Struts
722.00 Push-Pull Members
723.00 Redundance
724.00 Three and Only Basic Structures
725.00 Transformation of Tensegrity Structures
726.00 Six-Pentagonal Tensegrity Sphere
730.00 Stabilization of Tension in Tensegrity Columns
730.10 Symmetric Juxtaposition of Tetrahedra
740.00 Tensegrity Masts: Miniaturization
740.10 Positive and Negative
740.21 Miniaturization
740.30 No Solids in Structures
750.00 Unlimited Frequency of Geodesic Tensegrities
750.10 Progressive Subdividing
750.20 Unlimited Subdivisibility of Tensional Components
751.00 Pneumatic Model
760.00 Balloons
761.00 Net
762.00 Paired Swimmers
763.00 Speed and Concentration of Airplanes
764.00 Escape from Compression Structuring
765.00 Snow Mound
766.00 Tensegrity Geodesic Three-Way Grid
770.00 System Turbining in Tensegrity Structures
770.11 Comprehensive System Turbining
770.20 Central-Angle and Surface-Angle Turbining
780.00 Allspice Filling
781.00 Accommodation of Aberration
782.00 Distortion of Vector-Equilibrium Frame
783.00 Moebius Strip and Klein Bottle
784.00 Allspace-Filling Tensegrity Arrays
790.00 Tensegrity Structures
790.10 Definition
791.00 Cosmic Structuring
792.00 Design
793.00 Tree Structures
794.00 Geodesic Domes
795.00 Reduction to Practice
800.00 Operational Mathematics
801.00 Sensorial: Sweepout
801.01 Alternate Faculties of Sensation
801.09 Human Sense Ranging and Information Gathering
801.10 Sense Coordination of the Infant
801.20 The Omnidirectional TV Set
810.00 One Spherical Triangle Considered as Four
811.00 Bias on One Side of the Line
812.00 Spherical Triangle
813.00 Square or Triangle Becomes Great Circle at Equator
814.00 Complementarity of System Surfaces
820.00 Tools of Geometry
825.00 Greek Scribing of Right-Angle Modularity in a Plane
825.10 Right Triangle
Hexagonal Construction
825.26 Pythagorean Proof
825.30 Two-Way Rectilinear Grid
826.00 Unity of Peripheral and Radial Modularity
826.10 Otherness Restraints and Elliptical Orbits
830.00 Foldability of Great Circles
831.00 Sheet of Paper as a System
831.10 Moebius Strip
Cutting Out Circular Cookies
831.30 Six Cases of Foldability of Great Circles
835.00 Bow-Tie Construction of Spherical Octahedron
836.00 Spherical Octahedron: Alternate Assembly
840.00 Foldability of Four Great Circles of Vector Equilibrium
841.00 Foldability Sequence
841.30 Trisection by Inherent Axial Spin of Systems
842.00 Generation of Bow Ties
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
902.00 Properties of Basic Triangle
905.00 Equilibrium and Disequilibrium Modelability
905.10 Doubleness of Unity
905.30 Hierarchy of Pulsating Tetrahedral Arrays
905.50 Repeatability and Split Personality of Tetrahedron
905.60 The Disequilibrium 120 LCD Triangle
950.70 Summary: Wave Propagation Model
910.00 A and B Quanta Modules
Rational Fraction Elements
911.00 Division of Tetrahedron
912.00 Division of Octahedron
913.00 A Quanta Module
914.00 A Quanta Module: Foldability
915.00 Twinkle Angle
916.00 B Quanta Module
920.00 Functions of A and B Modules
921.00 Energy Deployment in A and B Quanta Modules
922.00 Conceptual Description and Contrast
923.00 Constant Volume
924.00 Congruence of Centers
930.00 Tetrahelix: Unzipping Angle
Continuous Pattern Strip: “Come and Go”
931.00 Chemical Bonds
932.00 Viral Steerability
933.00 Tetra helix
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
936.00 Volumetric Variability with Topological Constancy
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
941.00 Relation of Quanta Modules to Closest-Packed Sphere Centers
942.00 Progression of Geometries in Closest Packing
943.00 Table: Synergetics Quanta Module Hierarchy
950.00 Allspace Filling
Self-Packing Allspace-Filling Geometries
950.20 Cubical Coordination
Tetrahedron and Octahedron as Complementary Allspace Fillers: A and B Quanta Modules
951.00 Allspace-Filling Tetrahedra
953.00 Mites and Sytes: Minimum Tetrahedra as Three-Module Allspace Fillers
954.00 Mite as the Coupler's Asymmetrical Octant Zone Filler
955.00 Modular Nuclear Development of Allspace-Filling Spherical Domains
960.00 Powers and Dimensions
960.01 The Coordination of Number Powers and Geometrical Dimensions
961.00 Unitary Quantation of Tetrahedron
962.00 Powering in the Synergetics Coordinate System
963.00 First Power: One Dimension
964.00 Second Power: Two Dimensions
965.00 Third Power: Three Dimensions
966.00 Fourth Power: Four Dimensions
970.00 First- and Third-Power Progressions of Vector Equilibria
971.00 Table of Basic Vector Equilibrium Shell Volumes
972.00 Universal Integrity Model
973.00 Basic Tetrahedra as Volumetric Modules
974.00 Initial Frequency
980.00 Pi and Synergetics Constant
980.01 Relative Superficial and Volumetric Magnitudes
981.00 Self and Otherness Sequence
982.00 Cubes, Tetrahedra, and Sphere Centers
983.00 Spheres and Interstitial Spaces
984.00 Rhombic Dodecahedron
985.00 Synergetics Rational Constant Formulas for Area of a Circle and Area and Volume of a Sphere
986.00 T and E Quanta Modules: Structural Model of E = mc2: The Discovery that the E Quanta Module Is the True, Experimentally Evidenceable Model of E = mc2
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
986.070 Buildings on Earth's Surface
986.080 Naive Perception of Childhood
986.090 The Search for Nature's Coordinate System
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
986.231 System Spinnability
986.240 The Sphere Experimentally Defined
986.300 Minimum-Maximum System Limits
986.310 Strategic Use of Min-max Cosmic System Limits
986.400 T Quanta Module
986.410 T Quanta Module
986.420 Min-max Limit Hierarchy of Pre-time-size Allspace-fillers
986.440 Table: Set of Simple Allspace-fillers
986.450 Energy Aspects of Spherical Modular Arrays
986.470 Geodesic Modular Subdivisioning
986.480 Consideration 13: Correspondence of Surface Angles and Central Angles
986.500 E Quanta Module
986.520 Einstein's Equation
986.540 Volume-surface Ratios of E Quanta Module and Other 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
986.630 Interkinetic Limits
986.700 Spheric Nature of Electromagnetic Waves
986.710 Recapitulation of Geometry-and-energy Recalls
986.720 Absolute Constancy: Cheese Polyhedra
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 Powerings as Systemic-integrity Factors
986.860 Rhombic Dodecahedron 6 Minus Polyhedron 5 Equals Unity
986.870 Nuclear and Nonnuclear Module Orientations
987.00 Multiplication Only by Division
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
987.070 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
987.130 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
990.00 Triangular and Tetrahedral Accounting
995.00 Vector Models of Magic Numbers
995.01 Magic Numbers
995.10 Sequence
995.30 Reverse Peaks in Descending Isotope Curve
1000.00 Omnitopology
1001.00 Inherent Rationality of Omnidirectional Epistemology
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
1006.10 Omnitopology Defined
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
1010.00 Prime Volumes
1011.00 Omnitopology of Prime Volumes
1012.00 Nucleus as Nine = None = Nothing
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
1013.60 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
1025.10 Closest Packing of Bubbles
1030.00 Omniequilibrium
1031.1 . Dynamic Symmetry
1032.00 Convex and Concave Sphere-Packing Intertransformings
1033.00 Intertransformability Models and Limits
1033.010 Generation of the Involvement Field in Which Synergetics Integrates Topology, Electromagnetics, Chemistry and Cosmology
1033.030 Untenable Equilibrium Compulsion
1033.10 Octave System of Polyhedral Transformations
1033.121 Click-stop Subdivisioning
1033.180 Vector Equilibrium: Potential and Primitive Tetravolumes
1033.30 Symmetrical Contraction of Vector Equilibrium: Quantum Loss
1033.41 Asymmetrical Contraction of Vector Equilibrium: Quantum Loss
1033.50 Quanta Loss by Congruence
1033.60 Primitive Dimensionality
1033.61 Fifth Dimension Accommodates Physical Size
1033.62 Zerovolume Tetrahedron
1033.63 Prefrequency and Initial Frequency Vector Equilibrium
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
1033.80 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
1041.11 Seven Axes of Truncated Tetrahedron
1042.00 Seven Axes of Symmetry
1043.00 Transformative Spherical Triangle Grid System
1044.00 Minimum Topological Aspects
1050.00 Synergetic Hierarchy
1051.00 Circumference and Leverage
1052.00 Universal Integrity
1052.350 Microsystems
1052.360 Mite as Model for Quark
1052.50 Syntropy and Entropy
1052.60 Physical Limit and Metaphysical Absolute
1052.80 Radiation-Gravitation : Electromagnetic Membrane
1053.00 Superficial and Volumetric Hierarchies
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
1054.00 Relationship of Gibbs to Euler
1055.00 Twentyfoldness of Amino Acid System Indestructibility
1056.00 Hierarchy of Generalizations
1056.10 Cosmic Hierarchy of Comprehensively Embracing Generalizations
1060.00 Omnisensorial Accommodation
1061.20 Conic Geometry of Trees
1070.00 Plurality of Inherent Topological Twonesses
1071.00 Systematic Character of Prime Thinkability
1072.00 Definability of Structural Systems
1072.20 Generalized Topological Definability
1072.30 Wave and Particle Definability
1073.00 Cosmic Inherency
1073.10 Four Kinds of Twoness
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
1100.00 Triangular Geodesics Transformational Projection
1101.00 Triangular Geodesics Transformational Projection Model
1101.01 Description
1103.00 Flexing of Steel Straps
1104.00 Constant Zenith of Flat and Spherical Triangles
1105.00 Minima Transformation
1106.00 Inside-Outing of Tetrahedron in Transformational Projection Model
1107.00 Transformational Projection Model with Rubber-Band Grid
1110.00 Zenith Constancy of Radial-Coordination
1120.00 Wrapability
1130.00 Omnidirectional Typewriter
1130.10 Model Studies
1130.20 Orbital Feedback Circuitry vs Critical Path
1131.00 Spool-wrapping of Tetrahedron
1131.10 Omnitriangulated Strip
1132.00 Great-circle Shunting and Switch Points
1132.10 Great-circle Railroad Tracks of Energy
1200.00 Numerology
1210.00 Numerology
1220.00 Indigs
1221.00 Integration of Digits
1222.00 Absolute Four and Octave Wave
1223.00 Wave Pulsation of Indigs
1224.00 Wave Pulsation of Number 24
1224.10 Vector Equilibrium and Octave Wave
1224.20 Recapitulation
1224.30 Turnaround Terminals
1230.00 Scheherazade Numbers
1231.00 Cosmic lllions
1232.00 Binomial Symmetry of Scheherazade Numbers
1234.00 Seven-illion Scheherazade Number
1236.00 Eight-illion Scheherazade Number
1237.00 Nine-illion Scheherazade Number
1238.00 Fourteen-illion Scheherazade Number
1239.00 Limit Number of Maximum Asymmetry
afterpiece Afterpiece
Contribution to Synergetics
A Introduction
B Proof of Euler’s Equation
C Doubly Connected Polyhedra
D The Sum of the Surface Angles of a Singly Connected Polyhedron
E Duals
F Close Packing
G The Icosahedron and the Golden Section
H Remarks on Some Elementary Volume Relations Between Familiar Solids
I Space-Filling Polyhedra
J The A and B Modules and the Trirectangular Tetrahedron
K The Rectangular Cross Section of the Regular Tetrahedron
L Symmetry and Great Circles of Solids
M Proof of the Equation N = 10v2 + 2
N Parallel and Series Connections
O The Number of Connections Between Events
P Vector Equilibrium in Crystals
Q Bibliography
List of Figures
List of Tables
Bibliography
Index
Todo list
Todo List
List of Figures
List of Figures
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