__Ambiguous Flatness; A "Sufficiently
Large" Sphere__

[* This part of the reasoning most resembles
Physics' "A random fluctuation in nothing" *]

....(Thus revealing that Physics doesn't
understand the concept of [NoThing], either....)

Consider a *hollow* sphere composed of dimensionless,
noncoalesceable points.

As in our discussion of its expanding nature, we find that this
hollow sphere has no real limitation on its size. In theory, it
could go on expanding forever (there are, after all, an *infinite*
number of pionts, all trying to express their actuality/individuality
--in only two dimensions, so far).

Now, a sphere has a curved surface, but in the "limit" (despicable concept, but apparently unavoidable) of any very small area of that surface, the curvature of same becomes less and less, the larger the sphere gets.

Imagine a child's marble, and look at one square centimeter of
its surface (nearly half the marble): its curvature is obvious.

Imagine a ping-pong ball, and look at one square centimeter of
its surface: its curvature is still obvious.

Imagine a weather balloon, look at that same area: the curvature
is less obvious.

Imagine a ball the size of a small moon: you begin to see that
the larger the sphere we imagine, the __flatter__ will be that
one square centimeter area of its surface.

(You might guess: this is why the Earth looks quite flat when
standing on it, but spherical when very far from it.)

Now, "*in the limit*" (nasty phrase, that....),
we should see that as the sphere approaches *infinite* 'surface'
area, the curvature of this tiny area under our consideration
approaches 'perfectly flat.' How much *less* curved, then,
would be a ten-or-so-piont area of it? These pionts are
dimensionless!

Hence, we find it possible to suggest that while formerly,
piont-to-piont "contacts" (instances of * minimum
d*istance) may have kept them all in place in that
two-dimensional "surface" of the expanding sphere, now
that the area where they are has become indistinguishable (to
them) from "flat," they may be able to escape--to find
themselves able to make use of a third dimension for expression
of their individuality: that minimum-piont-ness area

Result? In Tetrahedraverse, an **IMPLOSION** of
pionts into the formerly "empty" interior, which is by
this stage quite, quite "large."