Interactive deep-zoom fractal viewer, rendered live on your GPU.
The Mandelbrot set is the collection of complex numbers c for which the iteration z → z² + c, started from z = 0, never escapes to infinity. Points inside the set are painted black. Every other pixel is coloured by how many iterations it survived before escaping — the escape time — and that single number is what draws the filaments, spirals, seahorse tails and miniature copies of the whole set that keep appearing as you descend. Its boundary is a fractal: there is no scale at which the detail runs out.
Every frame is computed from scratch in a WebGL2 fragment shader on your own GPU, at your screen’s resolution. No tiles are downloaded, no server renders anything, and nothing about where you look leaves the browser.
Ordinary 32-bit floats blur out at roughly 10,000×. Below that the renderer switches to a perturbation kernel: instead of iterating each pixel’s own coordinate it iterates the pixel’s deviation from a single arbitrary-precision reference orbit, which removes the precision ceiling entirely. You can zoom to 1060× and still resolve sharp structure — what limits you there is iteration count and patience, not arithmetic.
Also here: seven colour palettes with adjustable cycle and shift, automatic or manual iteration limits, jump-to presets for famous regions such as Seahorse Valley and Elephant Valley, PNG export up to 8K, and a URL that always encodes the current view, so any place you find is a link you can send to someone.