The 60-strut tensegrity sphere is the spherical, or tensor equilibrium phase of the the rhombic triacontahedron and its dual, the icosidodecahedron. Rectifications of either and the intersection of both produce a non-uniform rhombicosidodecahedron. The regular rhombicosidodecahedron serves as the template for the spherical phase of the 60-strut tensegrity. The sphere is transformed into the rhombic… Read more

The 24-strut tensegrity sphere is the spherical, or tensor equilibrium phase of the the rhombic dodecahedron and its dual, the cuboctahedron, aka vector equilibrium or “VE.” Rectifications of either and the intersection of both produce a non-uniform rhombicuboctahedron. The regular rhombicuboctahedron serves as the template for the spherical phase of the 24-strut tensegrity. The sphere… Read more

The 12-strut tensegrity sphere is the spherical, or tensor equilibrium phase of the the tensegrity octahedron and its dual, the tensegrity cube. Rectifications of either produce the cuboctahedron, i.e., vector equilibrium (VE) which serves as the template for the spherical phase. The sphere is transformed into the cube or octahedron by sliding the strut pairs… Read more

The polar pump model shows how the the jitterbug transformation might be conceived as the shuttling of nuclei along the primary axis of the 4 great circles via the octahedra they straddle. This is the same space-to-sphere, sphere-to-space oscillation as in all other models of the jitterbug, but allows us to visualize the transformation on… Read more

Implicit in the identification of any given sphere in the isotropic vector matrix as a nucleus is the categorization of every other sphere. Identifying a nucleus effectively “crystalizes” the matrix into three unique 13- and 14-sphere clusters of VEs and cubes I’m calling “blinkers.” As the matrix jitterbugs, these clusters generate patterns reminiscent of Conway’s… Read more

The four sets of great circles and the 24 spin axes of the vector equilibrium (VE) are here discussed with regard to the radially close-packed spheres of the isotropic vector matrix.… Continue reading → Read more