Mathlean · Online math workspace

Fractal escape-time calculator

Compute a bounded escape-time statistic for Mandelbrot or Julia iteration.

How to use this calculator

Edit Mandelbrot(point,iteration limit). Use Julia(start,parameter,iteration limit) for a fixed quadratic map.

Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.

Try it here

Mandelbrot⁡(0,100)\operatorname{Mandelbrot}\left(0,100\right)

Interactive tools require JavaScript. You can read the guide and example without it.

What to know

A value of 1 only means no escape within the supplied limit; it is not a proof of set membership or a rendered fractal image.

Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.

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