GART
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Spiral

Spiral

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Spiral

Tune

Archimedean arms: radius grows linearly with angle. Turns wind the coil; arms is how many start equally around the origin.

Archimedes, c. 225 BCE

Archimedean arms: radius grows linearly with angle. Turns wind the coil; arms start equally around the origin. Unrolled, it is a straight climb. Distinct from the Fibonacci square spiral — that one lives next door.

organicwave
1D fold
Unrolled: radius grows with angle. Wind the line around the origin and the arms appear.

Spiral

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

Spirograph

{"generator":"GART","pattern":"interference","seed":"","params":{"version":2,"wavelength":0.16,"phase":1.4,"balance":0.86,"contours":5,"ax":-0.24,"ay":-0.18,"bx":0.23,"by":0.2,"stretch":1}}

Interference

Variations

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