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Phyllotaxis

Phyllotaxis

© 2026·Created by Leon Poole·Privacy

Phyllotaxis

Tune

Vogel’s sunflower: each seed sits on a golden-angle spiral. Count fills the disc; spread is how far the pack reaches.

Helmut Vogel, 1979

Vogel’s sunflower (1979): seed i sits at radius √i and angle i·π(3−√5), the golden angle from Fibonacci. Count fills the disc; spread is how far the pack reaches. The 1D index is the only degree of freedom.

organic
1D fold
Vogel’s index on a line. Each tick is one golden-angle step; packed in polar space it becomes the disc.

Phyllotaxis

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All patterns
{"generator":"GART","pattern":"topography","seed":"terrain-04","params":{"motion":0,"motionSpeed":1,"seed":"terrain-04","landform":"island","levels":25,"roughness":0.3,"scale":2.4,"stretch":1.12}}

Topography

{"generator":"GART","pattern":"harmonic-shells","seed":"","params":{"lobes":4,"relief":0.38,"rings":30,"yaw":24,"pitch":28,"fade":0.65}}

Harmonic Shells

{"generator":"GART","pattern":"hopf-fibres","seed":"","params":{"fibres":32,"latitude":0.7,"spread":290,"yaw":26,"pitch":46,"fade":0.65}}

Hopf Fibres

{"generator":"GART","pattern":"harmonograph","seed":"","params":{"motion":0,"motionSpeed":1,"ratio":"2:3","detune":0.012,"damping":0.004,"turns":45,"phase":90,"coupling":0.2,"rotation":-12}}

Harmonograph

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