F(0) = 1
Scroll to descend the spiral ↓

The Fibonacci Sequence

1 1 2 3 5
8 13 21 34

Nature's favorite number — rendered in light, as 55,000 Gaussian splats placed by the golden angle.

The rule

Add the last two.

Every term is the sum of the two before it.

1+1=2 · 2+1=3 · 3+2=5 · 5+3=8 · 8+5=13

The ratio

1.618

Divide any term by the one before it and you converge on φ, the golden ratio.

8/5=1.60 · 13/8=1.625 · 21/13=1.615 · 34/21=1.619

The angle

137.5°

Place each seed 137.5° from the last — the golden angle — and you get nature's most efficient packing. It's exactly the spiral you're looking at.

The same spiral — grown

A succulent.
A nautilus.
A Romanesco.

Three real forms — each generated by AI, each packing the very same 137.5° spiral into living tissue and shell.

The sequence never ends.

From one equation to living tissue — the same spiral, all the way down.

1 1 2 3 5 8 13 21 34 55 89 144 …

Gaussian splats + scroll · Strategy Lab
Rendering splats