. On the relation of phyllotaxis to mechanical laws. Phyllotaxis; Leaves. 70 RELATION OF PHYLLOTAXIS TO MECHANICAL LAWS. metaphor,—in any Angiosperm apex, whatever its bulk and the relative size of the primordia placed on it, the same system of curved lines of equal action is normally utilized, and the con- struction may thus be planned, within an extremely small range of error, with the same log. spiral curves, for all but the lowest terms of the series; further, any other parastichy ratio which approaches 1:1-62 may be built up with the same curve, but. Fig. 34.—Table sliowiiig direction of
. On the relation of phyllotaxis to mechanical laws. Phyllotaxis; Leaves. 70 RELATION OF PHYLLOTAXIS TO MECHANICAL LAWS. metaphor,—in any Angiosperm apex, whatever its bulk and the relative size of the primordia placed on it, the same system of curved lines of equal action is normally utilized, and the con- struction may thus be planned, within an extremely small range of error, with the same log. spiral curves, for all but the lowest terms of the series; further, any other parastichy ratio which approaches 1:1-62 may be built up with the same curve, but. Fig. 34.—Table sliowiiig direction of contact parastichies, and the genetic fiL^ spiral/for successive systems of the Fibonacci series. ' -^ special curves must be drawn for a closer approximation to a symmetrical pair. ; ' The theoretical interest of the table lies ir^ the fact, that if it is the approximation of a certain ratio which is the essential point in the scheme,' the appearance of other pa'rastichy numbers be- comes conceivable so long as their ratio approximates 1 :1-618. That such is actually the case may be checked in the case of a certain proportion of the inflorescence of DfpscMus and Helianthus. The generalization of Wiesner, therefore, when applied more legitimately to morphological relations without reference to. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Church, A. H. (Arthur Harry), 1865-1937; Church, Arthur Henry, Notes on phyllotaxis. London, Williams & Norgate
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