SacredForm Open the app

Spheres & Flow · 3D

Fibonacci Sphere

The golden angle wrapped around a ball

Fibonacci Sphere, drawn as a glowing line figure

Points spiralling down a sphere, each a golden angle past the last. They spread almost perfectly evenly, and from the pole you see a sunflower.

Step
137.5°
Evenness
near optimal

Open in SacredForm

Turn it in your hands, strike it to hear the chord of its edges, slice it with a plane.

Facts

  • Used to place points evenly on a globe for maps, lighting and simulations.
  • Look from the top (flatten to 2D) and it becomes phyllotaxis.
  • The threads follow Fibonacci neighbours, just like sunflower spirals.

Across the dimensions

  • Its shadow PhyllotaxisWrap the sunflower around a ball: the golden angle spreads points evenly over a sphere.

Learn it step by step

Related figures