The Mind Garden

Topic

Nature & Patterns

Fibonacci, fractals, and the shapes that repeat everywhere.

The Same Shape, Everywhere

Spirals nature keeps sketching

From a fern fiddlehead to a spiral galaxy, the same logarithmic curve keeps reappearing at every scale.

Cross-section of a nautilus shell revealing a logarithmic golden spiral chambered in mother-of-pearl.
Nautilus · Logarithmic spiral
Unfurling fern fiddlehead forming a tight Fibonacci spiral against dark forest foliage.
Fern fiddlehead · Fibonacci unfurling
Sunflower seed head showing phyllotaxis — spiral parastichies following consecutive Fibonacci numbers.
Sunflower head · Phyllotaxis in seed
A spiral galaxy seen face-on, its arms tracing the same logarithmic curve found in shells and ferns.
Spiral galaxy · The same shape, cosmic scale
Scientific EvidenceNature & Patterns

Fibonacci in Sunflowers, Actually

The developmental biology behind the famous spiral.

Dr. E. Rojas·8 min
Scientific EvidenceNature & Patterns

Fractal Coastlines and the Mandelbrot Set

Self-similarity from mathematics to geography.

M. Whittaker·9 min
Scientific EvidenceNature & Patterns

Murmurations: Emergence in Starlings

Local rules, global ballet.

Dr. F. Iversen·6 min
TheoryNature & Patterns

L-systems: Grammar for Growing Things

A tiny formal language behind ferns and trees.

K. Rao·7 min
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