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Harmonic Shells

Harmonic Shells

© 2026·Created by Leon Poole·Privacy

Harmonic Shells

Tune

A spherical harmonic pushes a sphere into lobes. Latitude contours describe its surface like topographic lines wrapped around a sculpture.

Real sectoral spherical harmonics · radial surfaces

The radial displacement is proportional to sin(θ)^m cos(mφ), a real sectoral spherical harmonic up to normalisation. Changing m changes the lobe count. All contours are sampled on the same radial surface; rear portions fade to reveal the volume.

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Harmonic Shells

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All patterns
{"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

{"generator":"GART","pattern":"torus-knots","seed":"","params":{"knot":"2:3","strands":9,"spread":0.025,"yaw":18,"pitch":36,"radius":0.48,"rotation":-18,"clearance":1.5}}

Torus Knots

{"generator":"GART","pattern":"spirograph","seed":"","params":{"motion":0,"motionSpeed":1,"gears":"13:5","pen":1.08,"traces":7,"spacing":0.025,"rolling":"inside","rotation":-90}}

Spirograph

Variations

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