iMandelbrot Zoom

Mandelbrot Zoom lets you fall into the Mandelbrot set far beyond where ordinary fractal apps stop. Pinch, drag or fly the zoom slider from the whole set down to magnifications of 10^1000 and beyond, and the image stays sharp. HOW IT GOES SO DEEP Ordinary numbers run out of precision around 10^15×. Mandelbrot Zoom uses perturbation theory: it computes one reference orbit with thousands of digits on the CPU, then renders every pixel on the GPU as a tiny difference from it, with rebasing so no pixel goes wrong and bilinear approximation to skip thousands of iterations at once. Extended-exponent arithmetic keeps working long after normal floating point would underflow. SMOOTH WHILE YOU MOVE – Auto-zoom steers toward the richest detail by itself, at 0.5× to 4× speed; Next flies to a famous destination. – Pinch anchored at your fingers, drag with momentum, double-tap to zoom in, two-finger tap to zoom out. – The last image follows your gestures instantly, then a quick preview and a full-resolution pass refine it. – Iterations rise automatically with depth and with what is on screen. – Dive mode zooms continuously toward the centre. – Rendering stops when nothing changes, so the battery stays cool. COLOUR – Six smooth palettes with continuous colouring, adjustable density and palette cycling. PLACES – Famous locations: Seahorse Valley, Elephant Valley, Scepter Valley, a spiral, a mini-brot hidden in Seahorse Valley at 10^31×, a filament at 10^500× and mini-brots at 10^301× and 10^1000×. – Save your own places, share a location as text, and open a location someone sent you. – Save or share a high-resolution image of the current view. 3D MANDELBULB (PRO) – A ray-marched Mandelbulb and Mandelbox you can orbit, zoom into and dive through, with adjustable power, soft shadows, glow and the same palettes. – Tilt parallax and red-cyan or side-by-side stereo for a pop-out effect. – One-time purchase, on Android, purchased through Google Play. The 2D deep zoom is free and complete. No account, no ads, no tracking. Everything is computed on your device.

First release.