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Page 17
OCCULTUM (Plate VI, 1).
[Illustration]
On the first dissociation of the component parts of occultum, the
tetrahedron separates as a whole, with its four "cigars," flattening itself
out within its hole, _a_; two "cigars" are positive and two negative,
marked respectively _a_ and _a'_. The rope becomes a ring within a sphere,
_b_, and the two bodies _d_ _d_, which are loose in the gaseous atom, come
within this ring. The balloon becomes a sphere.
On further dissociation, the "cigars" go off independently, showing two
types, and these again each divide into triplets, as meta-compounds. _B_,
on the meta-level, casts out the two _d_ bodies, which become independent
triplets, and the "rope" breaks into two, a close ring of seven atoms and a
double cross of eight. These subdivide again to form hyper-compounds, the
ring yielding a quintet and a pair, and the double cross separating into
its two parts.
The balloon, _c_, becomes much divided, the cohesion of its parts being
slight; it forms two triplets, a pair and a unit, and these set free, on
further dissociation, no less than five separate atoms and two duads.
The two triplets of _d_ each cast out an atom on dissociation, and form two
pairs and two units.
SODIUM (Plate VI, 2).
It is convenient to consider sodium next, because it is the basic pattern
on which not only copper, silver and gold are formed, but also chlorine,
bromine and iodine.
[Illustration]
When sodium is set free from its gaseous condition, it divides up into
thirty-one bodies--twenty-four separate funnels, four bodies derived from
the two central globes, and three from the connecting rod. The funnels
become spheres, and each contains four enclosed spheres, with more or less
complicated contents. Each central globe yields a sextet and a quartet, and
the rod sets free two quartets and a peculiarly formed sextet.
When the proto-compounds are dissociated, the funnel-sphere sets free: (1)
the contents of _a_, rearranged into two groups of four within a common
sphere; the sphere yields four duads as hyper-compounds; (2) the contents
of _b_, which unite themselves into a quartet, yielding two duads as
hyper-compounds; and (3) the contents of the two spheres, _c_, which
maintain their separation as meta-compounds, and become entirely
independent, the atoms within the sphere revolving round each other, but
the spheres ceasing their revolution round a common axis, and going off in
different directions. The atoms break off from each other, and gyrate in
independent solitude as hyper-"compounds." Thus each funnel yields finally
ten hyper-bodies.
The part of the central globe, marked _d_, with its six atoms, whirling
round a common centre, becomes two triplets, at the meta-stage, preparing
for the complete separation of these as hyper-bodies. The second part of
the same globe, marked _e_, a whirling cross, with an atom at each point,
becomes a quartet in the meta-state, in which three atoms revolve round a
fourth, and in the hyper-state this central atom is set free, leaving a
triplet and a unit.
Each of the two bodies marked _f_, liberated from the connecting rod, shows
four atoms whirling round a common centre, exactly resembling _e_ in
appearance; but there must be some difference of inner relations, for, in
the meta-state, they re-arrange themselves as two pairs, and divide into
two as hyper-bodies.
The body marked _g_ is a four-sided pyramid, with two closely joined atoms
at its apex; these still cling to each in mutual revolution as a meta-body,
encircled by a ring of four, and this leads to a further dissociation into
three pairs on the hyper-level.
CHLORINE (Plate V, 2).
[Illustration]
The description of the funnel of sodium applies to that of chlorine, until
we come to the body nearest the mouth, the sphere containing three
additional bodies; this remains within the funnel in the first
dissociation, so that again we have twenty-four separate funnels as
proto-compounds; the central globes are the same as in sodium, and yield
the same four bodies; the connecting rod sets free five bodies, of which
two are the same; we have thus thirty-three separate bodies as the result
of the dissociation of chlorine into its proto-compounds. As all the
compounds which are in sodium break up in the same way into meta- and
hyper-compounds, we need not repeat the process here. We have only to
consider the new meta- and hyper-compounds of the highest sphere within the
funnel, and the two triplets and one quintet from the connecting rod.
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