We may take it as certain that, in a system of _perfectly_ fluid
films, like the interior of a mass of soap-bubbles, where the films
are perfectly free to glide or to rotate over one another, the mass
is actually divided into cells of this remarkable conformation. {339}
And it is quite possible, also, that in the cells of a vegetable
parenchyma, by carefully macerating them apart, the same conformation
may yet be demonstrated under suitable conditions; that is to say when
the whole tissue is highly symmetrical, and the individual cells are
as nearly as possible equal in size. But in an ordinary microscopic
_section_, it would seem practically impossible to distinguish the
fourteen-sided figure from the twelve-sided. Moreover, if we have
anything whatsoever interposed so as to prevent our twelve films
meeting in a point, and (so to speak) to take the place of our little
central quadrilateral,—if we have, for instance, a tiny bead or droplet
in the centre of our artificial system, or even a little thickening,
or “bourrelet” as Plateau called it, of the cell-wall, then it is
no longer necessary that the tetrakaidecahedron should be formed.
Accordingly, it is very probably the case that, in the parenchymatous
tissue, under the actual conditions of restraint and of very imperfect
fluidity, it is after all the rhombic dodecahedral configuration which,
even under perfectly symmetrical conditions, is generally assumed.
――――――――――
It follows from all that we have said, that the problems connected
with the conformation of cells, and with the manner in which a given
space is partitioned by them, soon become exceedingly complex. And
while this is so even when all our cells are equal and symmetrically
placed, it becomes vastly more so when cells varying even slightly in
size, in hardness, rigidity or other qualities, are packed together.
The mathematics of the case very soon become too hard for us; but in
its essence, the phenomenon remains the same. We have little reason to
doubt, and no just cause to disbelieve, that the whole configuration,
for instance of an egg in the advanced stages of segmentation, is
accurately determined by simple physical laws, just as much as in
the early stages of two or four cells, during which early stages we
are able to recognise and demonstrate the forces and their resultant
effects. But when mathematical investigation has become too difficult,
it often happens that physical experiment can reproduce for us the
phenomena which Nature exhibits to us, and which we are striving to
comprehend. For instance, in an admirable research, M. Robert shewed,
some years ago, not only that the early segmentation of {340} the
egg of _Trochus_ (a marine univalve mollusc) proceeded in accordance
with the laws of surface tension, but he also succeeded in imitating
by means of soap-bubbles, several stages, one after another, of the
developing egg.
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