corals; but it seems to me beyond a doubt that the whole question of
the complicated arrangement of septa and dissepiments throughout the
group (including the curious vesicular or bubble-like tissue of the
Cyathophyllidae and the general structural plan of the Tetracoralla,
such as Streptoplasma and its allies) is well worth investigation from
the physical and mathematical point of view, after the fashion which is
here slightly adumbrated.
[Illustration: Fig. 175. Diagrammatic section of a Ctenophore
(_Eucharis_).]
――――――――――
The method of dividing a circular, or spherical, system into eight
parts, equal as to their areas but unequal in their peripheral
boundaries, is probably of wide biological application; that is to say,
without necessarily supposing it to be rigorously followed, the typical
configuration which it yields seems to recur again and again, with
more or less approximation to precision, and under widely different
circumstances. I am inclined to think, for instance, that the unequal
division of the surface of a Ctenophore by its {392} meridian-like
ciliated bands is a case in point (Fig. 175). Here, if we imagine
each quadrant to be twice bisected by a curved anticline, we shall
get what is apparently a close approximation to the actual position
of the ciliated bands. The case however is complicated by the fact
that the sectional plan of the organism is never quite circular, but
always more or less elliptical. One point, at least, is clearly seen
in the symmetry of the Ctenophores; and that is that the radiating
canals which pass outwards to correspond in position with the ciliated
bands, have no common centre, but diverge from one another by repeated
bifurcations, in a manner comparable to the conjunctions of our
cell-walls.
In like manner I am inclined to suggest that the same principle may
help us to understand the apparently complex arrangement of the
skeletal rods of a larval Echinoderm, and the very complex conformation
of the larva which is brought about by the presence of these long,
slender skeletal radii.
[Illustration: Fig. 176. Diagrammatic arrangement of partitions,
represented by skeletal rods, in larval Echinoderm (_Ophiura_).]
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