Fractally vs Mandelbrot Flight Simulator

Fractally allows you to explore beautiful Mandelbrot and Julia set images, while at the same time, helping you gain a greater understanding of what they are. * interactively zoom and scroll around the images, using standard pinch and scroll gestures. * watch to see how the Julia set changes as you pan and scroll around the Mandelbrot. * view Mandelbrot or Julia point orbits, a visual representation of how a point changes as it moves through the iteration. * many different color schemes are provided. * control the amount of detail shown through the iteration editor. Over 2,000 iterations per point are possible. * zoom into the fractals over 1,000,000,000,000 x. * save and share your favorites, in the app as well as through Messages, Mail and AirDrop. * save high quality, large or small, anti-aliased images. Note that the saved images can range in size from thumbnails to wall sized photographs, depending on the amount of memory in your device. Images are saved in the lossless PNG image format. As you find interesting images, share them with your friends. Fractally saves fractal coordinates in a fractally file. When these files are shared with others, they can use the app to explore the region you found. To help understand the images being shown, try experimenting with low iteration counts, starting at 2, and moving up in steps of 1. As you slowly increase the iteration count, watch to see how the images evolve. At the other extreme, high maximum iterations can be used to reveal great hidden detail in deep zooms. Fractally is a fresh and clean implementation of the Mandelbrot and Julia sets. No frills, just a high quality, solid, viewer and image generator. Available, and free, on iPhone, iPad and the Mac. Donations are welcome and appreciated. For more details, please visit the support website. * privacy policy: https://luckgrib.com/fractally/privacy.html * terms of use: https://luckgrib.com/fractally/terms-of-use.html * end user license agreement: https://www.apple.com/legal/internet-services/itunes/dev/stdeula/

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