137.508°

LITMany plants place each new leaf or seed about 137.5° (the golden angle, 360°·(1 − 1/φ)) from the last. That produces the visible spiral counts in sunflowers and pinecones, which are usually consecutive Fibonacci numbers (e.g., 34 and 55). This is real number in nature, explained by growth mechanics (auxin inhibition), not mysticism.

COMPUTEDVogel's model, r = c√n, θ = n·α. Slide α away from the golden angle and the packing breaks into gaps and spokes. Ratios of consecutive Fibonacci numbers converge to φ = 1.6180339887.

α

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