Fuller's Two Volume Synergetics
Fuller's Two Volume Synergetics
Fuller published a two-volume text called, "Synergetics, the Geometry of Thinking". Read here about this works' treatment of tensegrity and its related concepts. For a general discussion of the Fuller's worldview from which he composed this text, see Synergetics.
Synergetics' Geometrical Innovations
Synergetics claims that all geometric forms known previously as polyhedra can be modelled as tensegrities. As such, Fuller devotes an entire chapter to tensegrity, and tensegrity is discussed throughout the two volume work.
http://www.grunch.net/4dsolutions/kirby.html. Kirby Urner culled from the Synergetics text a list of Fuller's claims of discovery. In Fuller's words:
- The rational volumetric quantation or constant proportionality of the octahedron, the cube, the rhombic triacontahedron, and the rhombic dodecahedron when referenced to the tetrahedron as volumetric unity.
- The trigonometric identification of the great-circle trajectories of the seven axes of symmetry with the 120 basic disequilibrium LCD triangles of the spherical icosahedron. (See Sec. 1043.00.)
- The rational identification of number with the hierarchy of all the geometries.
- The A and B Quanta Modules.
- The volumetric hierarchy of Platonic and other symmetrical geometricals based on the tetrahedron and the A and B Quanta Modules as unity of coordinate mensuration.
- The identification of the nucleus with the vector equilibrium.
- Omnirationality: the identification of triangling and tetrahedroning with second- and third-powering factors.
- Omni-60-degree coordination versus 90-degree coordination.
- The integration of geometry and philosophy in a single conceptual system providing a common language and accounting for both the physical and metaphysical. (See Sec. 251.50)
Tensegrity in the Table of Contents
Below is the table of contents, linked to the online version of Synergetics.
Major table of contents entries
Below are the major headings. Scroll down for a list of all headings in the chapter on tensegrity.
- 700.00 TENSEGRITY
- 720.00 Basic Tensegrity Structures
- 730.00 Stabilization of Tension in Tensegrity Columns
- 740.00 Tensegrity Masts: Miniaturization
- 750.00 Unlimited Frequency of Geodesic Tensegrities
- 760.00 Balloons
- 770.00 System Turbining in Tensegrity Structures
- 780.00 Allspace Filling
- 790.00 Tensegrity Structures
List of figures featuring tensegrity
Below a complete list of figures that accompany the sections on tensegrity. This list appears with thumbnails here: http://www.rwgrayprojects.com/synergetics/findex/fx0700.html
- Figure 705.01
- Figure 705.02
- Figure 712.01
- Figure 716.01
- Figure 717.01
- Figure 724.10
- Figure 724.30
- Figure 725.02
- Figure 730.11
- Figure 730.12
- Figure 740.21
- Figure 761.02
- Figure 762.01
- Figure 765.02
- Figure 770.11
- Figure 770.21
- Figure 784.20
- Figure 784.30
- Figure 784.41
- Figure 791.01
Synergetics table of contents, indented
- 700.00 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
- 714.00 Interstabilization of Local Stiffeners
- 715.00 Locked Kiss
- 716.00 Complex Continuity and Discontinuity in Tensegrity Structures
- 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
- 740.00 Tensegrity Masts: Miniaturization
- 750.00 Unlimited Frequency of Geodesic Tensegrities
- 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
- 780.00 Allspace 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
- 791.00 Cosmic Structuring
- 792.00 Design
- 793.00 Tree Structures
- 794.00 Geodesic Domes
- 795.00 Reduction to Practice
Links and References
For more information on the author, see Fuller.