fibonacci numbers from perceived angles

Summing up

We are suggesting:

that some plants can perceive angles, as some bees do, as a result of sensitivities to different kinds of light

that other divergence angles than 137.5° are employed by many plants
and that the origin of these is photomorphogenic

that the variety of plant morphology is achieved through algorithmic and repetitive combinations of, at least, some or all of the following:

sensitivity to different kinds of light enabling the perception of angles and the direction of primordia

mutual repulsion of the primordia

oppositeness, both to light and self referential

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that the exhibition of Fibonacci numbers in the elements of some plants arises from their employment of oppositeness to perceived angles in a band either side of 42.5° which produces angles either side of 137.5°

that the photomorphogenic origin of the exhibition of Fibonacci numbers in some plants allows a good deal of variation in the arrangement of elements while the numbers of elements displayed remains the same

that the Fibonacci numbers themselves represent iterations of best balance of an angle close to 137.5°, which provides plants employing this system with good seed packing and exposure to water and light