a cuboctahedron is a polyhedron with
eight triangular faces and six square
faces the vector equilibrium henceforth
 VE for short is the only geometric
form wherein all of the vectors are of
equal lengths.  This includes both, from
its center point out to its
circumferential vertices and the edges
connecting all of those vertices. Another
way of deriving the geometry of the VE
is by using thirteen spheres of the same
diameter, one sphere magnets as the
center point and twelve steel spheres
around the nucleus. The centers of each
sphere will be equidistant from all of
their adjacent neighbors. The VE has also
the attribute of consisting of four
hexagons symmetrically arrayed in four
planes. Fascinated by this form I decided
to explore its unique geometry on a
bigger scale. I glued magnets to the
hollow stainless steel spheres hence
allowing them to be attached to the
solid metal center sphere
The metal rod was welded to the central
sphere the smaller metal ball welded
to the other end of the rod, acts as
magnetically suspended bearing. More
magnets and metal parts were added to
compensate the smaller diameter of the
middle sphere. The lines connecting at
the centers of the spheres are the
vectors. Because it's an array of twelve
spheres and one central sphere, we can
refer to this as a twelve around one
system. We can then consider this system
when we examine the cosmometric
relationship of twelve based system such
as a twelve-tone music scale or
astrological zodiac. With all vectors
being exactly of the same length and
angular relationship, from an energetic
perspective the VE represents the
ultimate and perfect condition wherein
the movement of energy comes to a state
of absolute equilibrium and therefore
absolute stillness and nothingness. It's
a primary pattern, fundamental to the
creation of universe at all scales.
Because the VE has four hexagonal planes
defining its spatial coordinates one of
the greatest minds of our times
Buckminster Fuller says that the
foundation of the cosmic geometry is
actually four-dimensional as opposed to
the conventional three dimensional 90
degrees XYZ
system, historically assumed to be
fundamental. The VE is the true zero
reference of the energetic and
mathematics serial position in the VE is
the nearest approach we will ever know
to Eternity and if it's your cup of tea
to God. The zero phase of conceptual
integrity inherent in the positive and
negative symmetries that propagate the
differentials of consciousness.
