The cuboctahedron is the polyhedron obtained by bisecting the 12 edges and truncating the eight corners of the cube. It can also be developed, however, from the omnidirectional closest packing of spheres around one nuclear sphere. The centres of 12 such spheres define the 12 nodes of the cuboctahedron. As all spheres are the same size it can be seen that the length of the cuboctahedron's edges equal the distance from its centre to its 12 nodes. Thus the form can be considered to be a system of equal vectors which are in equilibrium • a VECTOR EQUILIBRIUM - where the outward radial thrust of the vectors from the centre is balanced by the circumfer- entially restraining chordal vectors. The explosive forces perfectly balance the implosive forces.
Because energetic forces are in such an unstable equilibrium, as Buckminster Fuller says,.... "the vector equilibrium is a condition in which nature never allows herself to tarry. The vector equilibrium itself is never found exactly symmetrical in nature's crystallography. Ever pulsive and impulsive, nature never pauses her cycling at equilibrium : she refuses to get caught irrecover- ably at the zero phase of energy. She always closes her transformative cycles at the maximum positive or negative asymmetry stages." #dome #Vector_Equilibrium #vortex