Mandelbrot Voyager
by ArcadeLabAn interactive explorer for the Mandelbrot set — one of mathematics' most famous fractals. Tap anywhere to dive deeper, and the same swirling, infinitely detailed structure keeps unfolding no matter how far you zoom. Smooth continuous-iteration coloring and rising iteration depth keep every level of the descent sharp.
Frequently asked
What is the Mandelbrot set?
It is the set of complex numbers c for which the sequence z → z² + c stays bounded. Coloring each pixel by how quickly that sequence escapes produces the intricate, infinitely detailed fractal you can explore here.
Why does the detail never run out as I zoom in?
The Mandelbrot set is self-similar and infinitely complex: its boundary contains structure at every scale. This explorer raises the iteration count as you zoom so deep regions stay crisp instead of turning into flat blobs.
Is this really a single HTML file?
Yes — it renders the fractal in non-blocking chunks on the 2D canvas, with no libraries or build step. You can publish a math explorer like this on ArcadeLab by pasting the HTML at arcadelab.ai/publish.