GART
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Mandelbrot Set

Mandelbrot Set

© 2026·Created by Leon Poole·Privacy

Mandelbrot Set

Tune

Iterate z → z² + c in the complex plane. The boundary is infinitely crumpled; zoom is a window onto that edge, drawn as contour lines.

Benoît Mandelbrot, 1980

For each complex c, iterate z → z² + c starting at 0. Points that never escape belong to the set. The boundary is a fractal: zoom does not simplify it. GART draws contour lines of the escape-time field, not a filled raster.

fractal

Mandelbrot Set

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Related

All patterns
{"generator":"GART","pattern":"hilbert-curve","seed":"hilbert-01","params":{"motion":0,"motionSpeed":1,"seed":"hilbert-01","order":5,"rotation":"0"}}

Hilbert Curve

{"generator":"GART","pattern":"koch-snowflake","seed":"4","params":{"motion":0,"motionSpeed":1,"depth":4}}

Koch Snowflake

{"generator":"GART","pattern":"barnsley-fern","seed":"fern-01","params":{"motion":0,"motionSpeed":1,"seed":"fern-01","points":12000}}

Barnsley Fern

{"generator":"GART","pattern":"self-truncate","seed":"trunc-01","params":{"motion":0,"motionSpeed":1,"seed":"trunc-01","solid":"cube","amount":0.42,"rounds":1,"tilt":24,"farSide":70}}

Self-Truncate

Variations

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