Fig. 416.01 Tetrahedral Precession of Closest Packed
Spheres:
- 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.
- 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.
- The two-frequency (three-sphere-to-an-edge) square-centered
tetrahedron may also be formed
through one-quarter-circle precessional action.
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