Must use turbowarp: https://turbowarp.org/730411470/fullscreen?hqpen and set pixel size to 2 or 1 Click on any spot you want to zoom in (else it zooms an interesting default spot) You can adjust color. Zoom shows self-similar pattern (fractal) arising from iterating a simple rule. Spacebar hides variables.
It's my previous "Mandelbrot set" with automatic zoom added. The algorithm is z' → z² + c repeated. c has complex numbers. To use only real numbers, as we do: Xₙ₊₁ = Xₙ² - Yₙ² + a Yₙ₊₁ = 2XₙYₙ + b Paints pixel black if sequence diverges to infinity (using a cutoff as estimate), otherwise we color it (gloriously). Must use turbowarp: https://turbowarp.org/730411470/ with pixel size set to 1 or 2
