Fibonacci in Nature

Tune a living pattern generator and watch the golden angle organize seeds, petals, scales, and spiral arms. The display connects each natural form to nearby Fibonacci counts instead of drawing a generic row of boxes.

Golden ratio 1.6180339
377 seeds at 137.5 degrees
Golden-angle phyllotaxis Hover or tap a point. Adjacent Fibonacci counts describe the visible clockwise and counterclockwise spiral families.

Fibonacci Squares Become a Spiral

The classic square construction is still here, but it acts as a map: each new square uses the sum of the two before it, and quarter arcs trace the curve found in shells, flower heads, and compact plant growth.

Natural Examples

Sunflower seed heads often show two crossing spiral families whose counts are neighboring Fibonacci numbers.