Sunflower Disc Floret Array — Fibonacci Packing at 2:1
269.00 د.إ
A sunflower disc photographed at 2:1 macro — the floret spiral arrangement showing the 34 and 55 Fibonacci spiral families simultaneously, the golden angle phyllotaxis creating the most efficient packing of biological structures.
Description
The sunflower disc floret arrangement is the most frequently cited example of Fibonacci spirals in nature — the opposing spiral families in most sunflowers contain 34 and 55 florets (consecutive Fibonacci numbers), with larger sunflower varieties showing 55 and 89. The mathematical reason for this pattern is the golden angle phyllotaxis — each floret is initiated at 137.5 degrees from its predecessor at the growing apex, and this angular relationship produces the Fibonacci spiral pattern automatically through the geometry of circular packing. At 2:1 macro reproduction, the full disc of a mid-sized sunflower (approximately 12cm diameter) is visible with the spiral pattern clearly legible — the two opposing spiral families creating a grid that assigns each floret to a unique position at the intersection of one clockwise and one counter-clockwise spiral. The florets in the outer ring of the disc are open and showing their yellow ligule petals; the inner ring florets are in earlier stages of development.
