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950.21
Because the cube is the basic, prime-number-three-elucidating
volume, and
because the cube's prime volume is three, if we assess
space volumetrically in terms of the
cube as volumetric unity, we will exploit three times
as much space as would be required
by the tetrahedron employed as volumetric unity. Employing
the extreme, minimum, limit
case, ergo the prime structural system of Universe,
the tetrahedron (see Sec.
610.20), as
prime measure of efficiency in allspace filling, the
arithmetical-geometrical volume
assessment of relative space occupancy of the whole
hierarchy of geometrical phenomena
evaluated in terms of cubes is threefold inefficient,
for we are always dealing with physical
experience and structural systems whose edges consist
of events whose actions, reactions,
and resultants comprise one basic energy vector. The
cube, therefore, requires threefold
the energy to structure it as compared with the tetrahedron.
We thus understand why
nature uses the tetrahedron as the prime unit of energy,
as its energy quantum, because it
is three times as efficient in every energetic aspect
as its nearest symmetrical, volumetric
competitor, the cube. All the physicists' experiments
show that nature always employs the
most energy-economical strategies.
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