Fractal Dynamics

Fractal Dynamics Lab

Mandelbrot · Julia · complex-plane iteration

Mandelbrot

Zoom ×1.00

−0.500000 + 0.000000i

Renderer checking…

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What you are exploring

Start with z₀ = 0 and repeatedly apply zₙ₊₁ = zₙ² + c. Points whose orbit stays bounded belong to the Mandelbrot set; points that escape are coloured by how the orbit behaves. Change the rule, coordinates, iterations, and colouring to see which structures persist.

Formula

Equation

Iterations500

Coordinates

Coordinate system

Swap X and Y

Invert X

Invert Y

X scale1.00

Y scale1.00

Center X

Center Y

Scale

Colouring algorithms

Outside colouring

Inside colouring

Smooth colouring

Antialias preview

Colour compression20

Palette shift0.00

Colour palette

Preset

Canvas size

The preview adapts to your selected artwork ratio. PNG export uses the active renderer. WebGL 2 is used when available; a CPU renderer takes over automatically when it is not.

Advanced rendering

Escape radius4.0

Rotation0°

Exposure1.00