Do I need to install anything?

No. It runs in any modern browser, free, with no account required.

For Engineers · Fractal Explorer

Fractal Explorer for a Markov chain

Built for engineers using it for real design work. Go from concept to a running model in the browser, then scale to the cloud when needed. Simulate a Markov chain live below — adjust the inputs and watch it respond, right in your browser.

Fractal ExplorerLive

Mandelbrot & Julia sets · escape-time

Controls

Left-click to zoom in, right-click to zoom out.

Presets

Max iterations

▶ Run in Python

Data Inspector

Setmandelbrot

Zoom1.0×

Iterations150

Governing equation

z_{n + 1} = z_{n}^{2} + c, ∣ z_{n} ∣ \leq 2, n \leq 150

Reading this result: In Mandelbrot mode every pixel is a candidate c; a point counts as inside only if z stays bounded through all 150 iterations, so raising the cap sharpens the boundary filaments.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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Fractal Explorer for compound interest Fractal Explorer for a population curve Fractal Explorer for a loan payoff Fractal Explorer for a logistic map Fractal Explorer for a Fibonacci sequence Fractal Explorer for a fractal tree Fractal Explorer for a Fourier series Fractal Explorer for a Taylor approximation

Frequently asked questions

Is this good for engineers?: Yes — this version of "Fractal Explorer for a Markov chain" is framed for engineers using it for real design work. Go from concept to a running model in the browser, then scale to the cloud when needed.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.