Every Possible Picture vs Mandelbrot Flight Simulator

Digital media can only display a finite number of images, limited by the resolution of the screen. This app will display them all, at resolutions set by the user. If you're not doing anything else for geologic time, you might enjoy this. You can set the number of colors (or grays) from 2 to 256 and the resolution from 8x8 to 64x64. There are 3 algorithms for displaying the pictures: Center (growing out from the middle of the screen), Permute (changes happen at randomly chosen pixels), or Shuffle (the entire screen is shuffled after each picture is displayed). By default the app starts from a black screen, but you can also choose white or a screen in which each pixel has a random color. And because displaying all the possible pictures takes a very long time, you can get a headstart by having the app pretend it's been running since the birth of the universe.

Navigate an infinite mathematical universe in real time. Mandelbrot Flight Simulator renders the legendary Mandelbrot set directly on your device's GPU. Pinch to zoom into breathtaking fractal detail, drag to explore, and watch the companion Julia set update live as you move through the plane. Every point in the Mandelbrot set corresponds to a unique Julia set — an infinite catalog of alien geometry, generated from the simplest possible rule. This app lets you browse that catalog in real time. WARNING: YOUR MIND WILL BE BLOWN! FEATURES • Watch the Julia set morph in real time as you drag around the Mandelbrot set • Turn on Autopilot mode to watch preprogrammed flythroughs • GPU-accelerated rendering at up to 60 fps • Five view modes including split-screen and dedicated full-screen Mandelbrot and Julia views • Multiple spectacular color schemes • Pinch to zoom, drag to pan, long-press to zoom continuously • Save stunning fractal screenshots to your photo library TIPS • Tap anywhere onscreen to open the menu. • Turn on autopilot mode to let the app take you on a tour • Zoom in to discover infinite fractal detail. • Hunt for the most intricate and beautiful Julia sets at the chaotic border of the Mandelbrot set. WHAT YOU'RE SEEING The Mandelbrot set is the collection of all points in the complex plane whose orbits stay bounded under the iteration z → z² + c. Its boundary is infinitely complex — zoom in anywhere and new structure always emerges. The colors show how quickly nearby points escape to infinity. The Julia set is a companion fractal. For any point you pick in the Mandelbrot set, there exists a unique Julia set with that point as its parameter. Points deep inside the Mandelbrot set produce solid, connected Julia sets. Points near the boundary produce intricate, fragmented ones. This app makes that relationship tangible and explorable. INSPIRATIONS Ben Sparks Holly Krieger Damnimp Tom Kerrigan Benoit B. Mandelbrot Gaston Julia