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nydus/On Growth and FormPublic
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Table of Contents

CHAPTER XVII ON THE THEORY OF TRANSFORMATIONS, OR THE COMPARISON OF RELATED FORMS

of the various {748} hydroids which we inscribe therein (Fig. 372). The comparative smoothness or denticulation of the margin of the calycle, and the number of its denticles, constitutes an independent variation, and

A series of five diagrams illustrating D'Arcy Thompson's transformation grids applied to the growth patterns of a hydroid.

requires separate description; we have already seen (p. 236) that this denticulation is in all probability due to a particular physical cause.

Among the fishes we discover a great variety of deformations, some of them of a very simple kind, while others are more striking and more unexpected. A comparatively simple case, involving a simple shear,

D'Arcy Thompson's comparison of a fish outline within a square grid and a transformed version within a sheared grid.

Fig. 373. Argyropelecus Olfersi. Fig. 374. Sternoptyx diaphana.

is illustrated by Figs. 373 and 374. Fig. 373 represents, within Cartesian co-ordinates, a certain little oceanic fish known as Argyropelecus Olfersi. Fig. 374 represents precisely the same outline, transferred to a system of oblique co-ordinates whose {749} axes are inclined at an angle of 70ô¯; but this is now (as far as can be seen on the scale of the drawing) a very good figure of an

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