Fig. 455.11 Folding of Great Circles into Spherical
Cube or Rhombic Dodecahedron and Vector
Equilibrium: BowTie Units:
 This sixgreatcircle construction defines the positivenegative
spherical tetrahedrons within the
cube. This also reveals a spherical rhombic dodecahedron.
The circles are folded into "bowtie"
units as shown. The shaded rectangles in the upper left
indicates the typical plane represented by the
six great circles.
 The vector equilibrium is formed by four great circle
folded into "bowties." The sum of the areas of
the four great circles equals the surface area of the
sphere. (4 r^{2}).
