. On the relation of phyllotaxis to mechanical laws. Phyllotaxis; Leaves. ANOMALOUS SERIES. 205 soon as equality is reached, the symmetrical construction follows as a mathematical consequence. How small the change may be is shown, for example, by comparing the structural diagram for a (6 + 7) with a (6 + 6). The result, however, is very striking in that an accu- rately simultaneous formation of a whole cycle of members is substituted for a serial formation; but it serves to bring out the fact that the actual appearance of the members, in time, has possibly little to do with the mechanism which
. On the relation of phyllotaxis to mechanical laws. Phyllotaxis; Leaves. ANOMALOUS SERIES. 205 soon as equality is reached, the symmetrical construction follows as a mathematical consequence. How small the change may be is shown, for example, by comparing the structural diagram for a (6 + 7) with a (6 + 6). The result, however, is very striking in that an accu- rately simultaneous formation of a whole cycle of members is substituted for a serial formation; but it serves to bring out the fact that the actual appearance of the members, in time, has possibly little to do with the mechanism which produces them within the protoplasmic mass of the apex. It is important to note that the. Kg. -Lycopodium Selago, (3 + 3) and (3 + 3), changing to (4 + 4). simultaneous formation is a mathematical fact dependent on the manner in which the construction is directly changed from a pre- sentation in terms of a spiral-vortex to that of a circular one. In many Cactaceae, such an assumption of symmetry appears to be entirely accidental {of. special section), and asymmetry may be again produced. In the case of specialised decussate assimilating shoots, the fact that reversion to asymmetry may take place in the sporophylls (Galycanthus) has been held to support the view that the decussate condition is of biological utility. An example, again taken from Lycopodium Selago (fig. 80), shows that symmetry is. 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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