![]() Fibonacci fractal patterns at the subcellular level may in turn lead to the creation of macroscopic Fibonacci phyllotaxy. ![]() Perhaps similar to the flower in Figure 1A?įibonacci fractal patterns grow through the addition of the previous two patterns in the sequence ( Fig. 1B). (B) A Fibonacci fractal showing that the addition of the previous two objects in the sequence gives the next object. Spirals of florets are in groups of both 13 (green) and 21 (blue), which are consecutive Fibonacci sequence numbers. (A) A flower showing Fibonacci organization. Here I propose that fractals and quasicrystals may contribute to the formation of these Fibonacci patterns.įigure 1. ![]() 5 However, it seems that the Fibonacci sequence must arise in biological systems through a process common to animals and plants, not plant-specific. These include active transport of auxin, 3 buckling of the plant’s tunica 4 and the material properties of the cell wall. 2 Various mechanisms have been suggested for the creation of Fibonacci sequence-based patterns in plants. 1 It has been suggested that this form of phyllotaxy has a selective advantage as it involves the least number of phyllotactic transitions during growth. These patterns are particularly seen in the spiral form of flowers ( Fig. 1A). Developmental processes in plants give rise to an almost constant golden divergence angle, constant plastochrome ratio, choice of parastichy numbers and prevalence of Fibonacci sequences to which these numbers belong. Phyllotaxy in plants has attracted attention for the repeated appearance of Fibonacci sequence phyllotactic patterns.
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