Fig. 987.242 Evolution of DuoTet Cube and Hourglass
Polyhedron:
 One positive regular tetrahedron and one negative
regular tetrahedron are intersymmetrically arrayed
within the common nuclearvertexed location. Their internal
trussing permits their equiinter
distanced vertexes to define a stable eightcornered
structure, a "cube." The cube is tetravolume3; as
shown here we observe 1 l/2tetravolumes of "substance"
within the eight vertexes and 1 1/2
tetravolumes of complementation domain within the eight
vertexes . The overall cubic domain
consists of three tetravolumes: one outsideout (1 1/2)
and one insideout (1 1/2). The same star
polyhedron appears within a vector equilibrium net at
Fig. 1006.32.
 Octahedron: tetravolume4
 Icosahedron; tetravolume 18.51229586
 Vector equilibrium: tetravolume20
 Eightfaceted asymmetric Hourglass Polyhedron: tetravolumel
l/2. These complex asymmetric
doughnutcored hexahedra appear within the star polyhedron
at A.
