Fig. 416.01

Fig. 416.01 Tetrahedral Precession of Closest Packed Spheres:
  1. Two pairs of seven-ball, triangular sets of closest packed spheres precess in 60 degree twist to associate as the cube. This 14-sphere cube is the minimum structural cube which may be produced by closest-packed spheres. Eight spheres will not close-pack as a cube and are utterly unstable.
  2. When two sets of two tangent balls are self-interprecessed into closest packing, a half-circle inter- rotation effect occurs. The resulting figure is the tetrahedron.
  3. The two-frequency (three-sphere-to-an-edge) square-centered tetrahedron may also be formed through one-quarter-circle precessional action.

Copyright © 1997 Estate of R. Buckminster Fuller