On the Relation of Phyllotaxis to Mechanical Laws

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It remains to be considered why such numbers and ratios are found, and to what extent the plant is restricted to such a series.
Fig. 26. — Log. spiral construction for system (8 + 13) ; with curve setting of preceding the genetic spiral winds left.
Again, by using the same curve, and drawing eight long and thirteen short spirals, a set of parastichies may be marked out which will give equally correct results for the Pine cone (F. austriaca, P. Pinea) ; and, on numbering the areas, they may be c
...hecked by the actual specimen : all observed appearances are accurately imitated in the diagram ; the axes of the rhombs of rhombs forming spirals APPLICATION OF VORTEX CONSTRUCTION. 59 instead of radii as demanded by the Schimper-Braun theory, while it is clear that any attempt to correct the Schimper construction by demanding hypothetical displacement or torsion in the cone is entirely unnecessary. The balance of evidence must fall on the side which explains most facts with the least amount of straining.

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