Discover why sunflowers, pine cones, galaxies, and nautilus shells all share the same spiral. The Fibonacci sequence and Golden Ratio φ = 1.618… appear wherever things grow by adding to themselves.
Sunflowers grow seeds at exactly 137.5° apart (the golden angle = 360°/φ²) — packing seeds most densely with no gaps. The Fibonacci sequence converges to φ as ratios of consecutive terms.
Adjust the angle between seeds from 0° to 180°. Watch how rational angles create radial lines, irrational angles create spirals, and the specific golden angle creates the densest possible packing.
Sunflower heads always have Fibonacci numbers of spirals — 34 clockwise and 55 counter-clockwise (or 55 and 89 in larger flowers). These numbers are not coincidental — they are the mathematical inevitability of the golden angle.