Fractal geometry

▸ Loading the complex plane…

▸ Building the iteration z ← z² + c

▸ Calibrating the escape-time algorithm

▸ Generating the palette & Mandelbrot map

▸ Opening the door to infinity…

▸ Ready — Online. ✅

Map & coordinates

❄️ Mandelbrot set

viewport / point c

Mode—

Center (c)—

Magnification—

Max iterations—

Does the center escape?—

Constant c (Julia)—

Tip

Each point on screen is a complex number. The black region = the sequence stays bounded (in the set); the coloured region = it escapes, coloured by iteration count. The beauty lives on the boundary.

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Scroll = zoom in/out · click = recenter + zoom in · drag = pan

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Orbit |z| by iteration step (of the center point) |z|escape threshold = 2