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419.22
The omnidirectional closest packing of spheres in
all six symmetrical
conformations of the primitive hierarchy of polyhedra
probably provides models for all the
chemical elements in a hierarchy independent of size
in which the sum of the spheres in all
the layers and the nuclear sphere equals the most prominent
number of neutrons, and the
number in the outer layer alone equals the number of protons
of each atom. In the VE
symmetry of layer growth the sum of the spheres is one
and the outer layer is one: the
initial sphere represents the element hydrogen, with
the atomic number 1, having one
neutron and one proton. The second VE assembly layer,
magnesium, with the atomic
number 12, has 12 protons and 24 neutrons. The third
layer, molybdenum, with the atomic
number 42, has 42 protons and a majority of 54 neutrons.
The fourth layer, uranium, with
the atomic number 92, has 92 protons and an isotopal
majority of 146 neutrons. (Compare
Secs. 986.770
and 1052.32.)
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