In Fig. 176 I have divided a circle into its four quadrants, and have
bisected each quadrant by a circular arc (_BC_), passing from radius to
periphery, as in the foregoing cases of cell-division; and I have again
bisected, in a similar way, the triangular halves of each quadrant
(_DD_). I have also inserted a small circle in the middle of the
figure, concentric with the large one. If now we imagine those lines
in the figure which I have drawn black to be replaced by solid rods we
shall have at once the frame-work of an Ophiurid (Pluteus) larva. Let
us imagine all these arms to be {393} bent symmetrically downwards, so
that the plane of the paper is transformed into a spheroidal surface,
such as that of a hemisphere, or that of a tall conical figure with
curved sides; let a membrane be spread, umbrella-like, between the
outstretched skeletal rods, and let its margin loop from rod to rod in
curves which are possibly catenaries, but are more probably portions
of an “elastic curve,” and the outward resemblance to a Pluteus
larva is now complete. By various slight modifications, by altering
the relative lengths of the rods, by modifying their curvature or
by replacing the curved rod by a tangent to itself, we can ring the
changes which lead us from one known type of Pluteus to another. The
case of the Bipinnaria larvae of Echinids is certainly analogous,
but it becomes very much more complicated; we have to do with a more
complex partitioning of space, and I confess that I am not yet able to
represent the more complicated forms in so simple a way.
[Illustration: Fig. 177. Pluteus-larva of Ophiurid.]
――――――――――
[Illustration: Fig. 178. Diagrammatic development of Stomata in
_Sedum_. (Cf. fig. in Sachs’s _Botany_, 1882, p. 103.)]
There are a few notable exceptions (besides the various unequally
segmenting eggs) to the general rule that in cell-division the
mother-cell tends to divide into equal halves; and one of these
exceptional cases is to be found in connection with the development of
“stomata” in the leaves of plants. The epidermal cells by which the
leaf is covered may be of various shapes; sometimes, as in a hyacinth,
they are oblong, but more often they have an irregular shape in which
we can recognise, more or less clearly, a distorted or imperfect
hexagon. In the case of the oblong cells, a transverse partition
will be the least possible, whether the cell be equally or unequally
divided, unless (as we have already seen) {394} the space to be cut
off be a very small one, not more than about three-tenths the area of
a square based on the _short_ side of the original rectangular cell.
As the portion usually cut off is not nearly so small as this, we
get the form of partition shewn in Fig. 179, and the cell so cut off
is next bisected by a partition at right angles to the first; this
latter partition splits, and the two last-formed cells constitute the
so-called “guard-cells” of the
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