Wednesday, August 23, 2017

The Matrix

Spherical Cube with Six Pairs of Connectors

Given C6XTY, Sam Lanahan's invention, consists of six identical base units, fitting flush, edge to edge, tongue in groove, to build a soccer ball, I'm realizing a spherical cube, a hexahedron is part of its core nature.

This intrinsic "qyoobosity" relates to the mutually orthogonal placement of three phi-rectangles X, Y, Z within the icosahedron, which served as the compression unit in previous iterations of Flextegrity.

With C6XTY, this icosahedron is replaced with a soccer ball, or hexapent, with which it has many properties in common.

The connector pieces, in this case ABS plastic or polypropylene, grab the spherical cube by its six faces, locking into them with form-fitting hexagons and special screws.  The base locks, each keeping three faces together, appear at the eight corners of our spherical cube.

A C6XTY "soccer ball" fully embedded in the matrix, is at the center of an XYZ economy and IVM economy at the same time.

By "IVM economy" I mean the ball centers are at the centers of a CCP (cubic close packing) or FCC (face centered cubic) lattice.  IVM = isotropic vector matrix, what R. Buckminster Fuller named this well-known lattice.

Yet the tension arms run in a mutually perpendicular fashion throughout, not between centers as in Bell's "kite" designs, but in the space in between.

Half Octahedron