Vector Equilibrium

The cuboctahedron, which Buckminster Fuller called the Vector Equilibrium, is an Archimedean solid.

Vector Equilibrium0 circles · 0 segments · 1 solidsdepth 70% · Crystal · persp

Construction

Vertices are all permutations of (±1, ±1, 0). Eight triangular and six square faces are generated with outward winding.

Fuller treated it as a model of balanced forces; this is a design philosophy rather than physics.

The cuboctahedron flattened along its three-fold axis.

Two interpenetrating sets of 32 tetrahedra in a vector-equilibrium lattice.

Two interpenetrating regular tetrahedra — the stella octangula.