Fig. 1032.12

Fig. 1032.12 Convex and Concave Sphere Packing Voids:
  1. In a tetrahedron composed of four spheres, the central void is an octahedron with four concave spherical triangular faces and four planar triangular faces with concave sides. This can be described as a "concave octahedron."
  2. In an octahedron composed of six close-packed spheres, the central void is a vector equilibrium with six concave spherical square faces and eight triangular faces with concave sides: a "concave vector equilibrium."
  3. The vector equilibrium with edges arced to form a sphere: a convex vector equilibrium.
  4. The vector equilibrium with arcs on the triangular faces defined by spheres tangent at vertexes: a concave vector equilibrium.

Copyright © 1997 Estate of R. Buckminster Fuller