714.00 Interstabilization of Local Stiffeners 
715.00 Locked Kiss 
716.00 Complex Continuity and Discontinuity in Tensegrity Structures 
Fig. 716.01 
716.01 The terminal junctures of four threestrut tensegrity octahedra are all 180 degree junctures. They appear to be compressionally continuous, while the central coherence of the three struts appears visibly discontinuous. The complex tensegrity presents a visibly deceptive appearance to the unwary observer. The two joined legs of the basic units appear as single units; as such, they appear to be primary elements of the complex tensegrity, whereas we learn from construction that our elements are the three strut octahedra and that the cohering principle of the simplest elements is tensegrity. 
716.02 The fundamental, repeatable unit used to form the spherical tensegrity structures is a flattened form of the basic threestrut tensegrity octahedron. 
716.03 The basic 12frequency tensegrity matrix employs collections of the basic threestrut units joined at dead center between single and doublebonded discontinuity. The shaded triangles in the illustration represent the sites for each of the threestrut units. This matrix is applied to the spherical triacontrahedron^{__}consequently, the large 12 frequency rhombus (illustration 716.01C) is onethirtieth of the entire sphere. 
716.10 Convergence 
717.00 Single and DoubleBonding in Tensegrity Spheres 
Fig. 717.01 
717.01 Basic threestrut tensegrities may be joined in singlebonding or double bonding to form a complex, 270strut, isotropic tensegrity geodesic sphere. It can be composited to rotate negatively or positively. A sixfrequency triacontrahedron tensegrity is shown in illustration 717.01. 
717.02 Complexes of basic threestrut tensegrities are shown with axial alignment of exterior terminals to be joined in single bond as a 90strut tensegrity. 
720.00 Basic Tensegrity Structures
721.00 Stability Requires Six Struts 
721.01 Stability requires six struts, each of which is a combinedly pushpull structural member. It is a synergetic (Sec. 101) characteristic of minimum structural (Sec. 610) systems (Sec. 402) that the system is not stable until the introduction of the last structural component (Sec. 621.10) essential to completion of minimum omnisymmetric array. 
721.02 Redundancy (Sec. 723) can be neither predicted nor predetermined by observation of either the integral constraints or external freedoms of energetic behaviors of single struts, or beams, or columns, or any one chain link of a series that is less than 12 in number, i.e., six positive vectors and six negative tensors. Of these 12, six are open endedly uncoordinate, disintegrative forces that are always omnicohered by six integrative forces in finitely closed coordination. 
722.00 PushPull Members 
723.00 Redundance 
723.01 There are metaphysical redundancies, repeating the same thing, saying it in a little different way each time. 
723.04
There are two classes of redundant acts:

724.00 Three and Only Basic Structures 
724.01 The original six vectoredge members of the tensegrity tetrahedron may be transformed through the tensegrityoctahedron phase and finally into the tensegrity icosahedron phase. The same six members transform their relation to each other through the full range of the three (only) fundamental structures of nature: the tetrahedron, the octahedron, and the icosahedron. (See Secs. 532.40, 610.20, 724, 1010.20, 1011.30 and 1031.13.) 
724.02 The same six members transform from containing one volume to containing 18.51 volumes. These are the principles actively operative in atomicnucleus behavior in visual intertransformations. 
Fig. 724.10 
724.10 Tensegrity Octahedron: The simplest form of tensegrity is the octahedron with three compression members crossing each other. The three compression struts do not touch each other as they pass at the center. They are held together only at their terminals by the comprehensive triangular tension net. The same threeislanded struts of the tensegrity octahedron may be mildly reorganized or asymmetrically transformed. 
724.20 Tensegrity Icosahedron: The sixislandedstrut icosahedron and its allspacefilling, closestpacking capability provide omniequioptimum economy tensegrity Universe structuring. 
Fig. 724.30 
724.30 SixStrut Tensegrities: Two threestrut tensegrities may be joined together to make the tensegrity icosahedron. This form has six members in three parallel sets with their ends held together in tension. There are 12 terminals of the six struts (the two octahedra^{__}each with three struts of six ends^{__}combined). When you connect up these 12 terminals, you reveal the 12 vertexes of the icosahedron. There are 20 triangles of the icosahedron clearly described by the tension members connecting the 12 points in the most economical omnitriangular pattern. 
724.31 In the tensegrity icosahedron, there are six tension members, which join parallel struts to each other. If these tension members are removed from the icosahedron, only eight triangles remain from the original 20. These eight triangles are the eight transforming triangles of the symmetrical contraction of the vector equilibrium "jitterbug." (See Sec. 460.) Consequently, this "incomplete" icosahedron demonstrates an expansion contraction behavior similar to the "jitterbug," although pulsing symmetrically inward outward within more restricted limits. 
Next Section: 725.00 