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Fun

Fractal Explorer

Repeat the tiny rule z → z² + c, and every trip into the boundary reveals another layer of spirals and islands.

Click or use the wheel to dive into the Mandelbrot set. In Julia mode, change the constant c to turn the same equation into entirely different universes.

z → z² + c

An edge with no end

Mandelbrot · 1.0×
c = −0.500 + 0.000i
ready
click to zoom · drag to pan · use the wheel for continuous zoom
Mandelbrot

A map of changing c

Each pixel becomes c and iteration starts at zero. Points that never escape form the black set; the number of steps before escape colors everything outside.

Julia

A map of changing z

Choose one fixed c and let every pixel be the starting z. A tiny slider movement can scatter a connected body into dust or curl it into spirals.