Best Fractal Software
Deep zoom animations and morph animations of many different fractal types, with extensive technical information on the math involved in production. Best Fractal Software' title='Best Fractal Software' />High Precision Deep Zoom Fractal Animations and Images. Click here to subscribe to the HPDZ. NET newsletter. Newsletter Archive. Whats New. Cubic Burning Ship 2. A modestly deep zoom into the Cubic Burning Ship fractal. With 2. 5X oversampling, this video is crisp and clean and shows some new features in this starkly beautiful, gorgeous fractal. Best Free Track, Artist, or Album finder. Spotify Search for any track, artist or album and listen for free with ads. Make and share playlists. This app offers. Http Is the Universe a Fractal Space Article in New Scientist d. Mission. This site is the web presence of a project dedicated to producing high precision deep zoom animations and still images of the Mandelbrot set and other fractals, and to advocating mathematics and computer programming, which are at the core of how these works are created. This project lives by two guiding principles Letting the shapes speak for themselves. Citius, Profundius, Fortius. The first statement means that fidelity to the structure of the fractal is the most important artistic consideration here. This is not art that happens to have a fractal in it this is an art dedicated to showing as accurately as possible how the fractals truly look. The second statement inspires the technical side of this work. Rather than striving for Altius, we strive for Profundius. What do High Precision and Deep Zoom meanThese images are high precision because they zoom in way beyond the standard precision of most computers, to magnifications of 1. Thats so big that a if a subatomic particle were magnified that much, it would be larger than the universe Doing this requires special software to handle that extra math, and that is a technical challenge every bit as demanding as the artistic challenges of finding great images. These animations are also high precision in a different sense the images and videos are very high quality, carefully crafted and beautifully colorized fractal images rendered with precise fidelity to the original underlying fractal structures. Whats a fractalWhat are these videos all about A fractal is a type of mathematical object with a very complex structure, with infinite detail at all size scales. Aros-Fractals_2.png' alt='Best Fractal Software' title='Best Fractal Software' />Some fractals are simply regular repetitions of a single pattern, while others have complicated, intricate shapes. Most of the the videos here are deep zoom animations into a particular fractal known as the Mandelbrot set, starting off with an overview of the set, then magnifying billions, trillions, and far far more. Fractals have exquisite detail at all levels of magnification, infinitely great detail, in fact, so there is always something more to see, no matter how much has been explored before. The structures in the Mandelbrot set and other fractals at these extreme levels of magnification can be truly spectacular, unlike anything ever seen before. A quick explanation of how the images and videos are created is below in the introduction to the Technical section. AstroSynthesis 3. The Universe is endless. The universe is in 3D, so why map it in 2D Use AstroSynthesis, NBOSs revolutionary star mapping system for sci. Fractal Terrains 3 software lets you generate random worlds and finetune an infinite number of details for the ultimate in realism. Work with real Earth data. Page 22 Further exploration of the 3D Mandelbulb Visit First page Experimenting with iterations and powers Okay enough eye candy for now. Lets have a closer look. A fractal is a neverending pattern. Fractals are infinitely complex patterns that are selfsimilar across different scales. They are created by repeating a simple. The pages in the Technical section of this site have far more detail on different topics related to creating fractal images and animations. Animations. Some of the best deep zoom fractal animations ever made are here. Most of the animations are deep zooms into the Mandelbrot set, but some feature rather unusual fractals not seen anywhere else. Heres a quick overview of the gallery of Mandelbrot set deep zooms. Visit the Animations main page for more details, or click on an image in the table below to go the the page for a particular video. The Mandelbrot set is a rich source of great art, and it is particularly nice for making videos because the equation that generates it is fairly simple and doesnt take much computational power. But many more fractals have been discovered, and quite a few of them are great for creating deep zoom animations. One of the simplest variations on the regular Mandelbrot set fractal is the cubic Mandelbrot set, and here you will find two animations into that fractal, one of which QBIX is the deepest zoom into the cubic Mandelbrot set ever created. Deep zooms are not the only type of fractal animation. File.png' alt='Best Fractal Software' title='Best Fractal Software' />Another way of making great fractal videos is to change some part of the equation that specifies the shape of the fractal. This creates a morphing type of effect where the fractal changes shape as the video progresses. Two videos of this type have been pubslished here so far. These videos are unique because they use a new fractal formula developed here and never before used for animations, the Secant Method. Technical Animations. This site is dedicated not only to producing great art, but also to promoting the underlying technical elements that make it possible. Some short animations demonstrating various technical points have been published here too. Some of these are also celebrating important milestones in the development of the software. These two videos were originally put in the Animations gallery, and unlike the other technical animations, each one has its own special page. They are both very nice to look at and have great coloring and nice music, but really, they are just technical demonstrations of deep zooming to beyond 1. Still Images. Animations are great, but you cant hang one on your wall, and the resolution is necessarily limited by video playback speeds and the practical realities of rendering thousands of frames to make a video. Sometimes a great still image is an accomplishment all by itself. A nice collection of fractal still images is available here, including many images of fractals other than the Mandelbrot set. Other Fractals Many types of fractals besides the Mandelbrot set have been invented. Some of them make good deep zoom images, while others dont look different when magnified. Secant Method Fractals are an innovation unique to HPDZ. Aplicaciones De Software Para Dibujo Tecnico. NET. The secant method is similar to Newtons method for solving equations, but converges more slowly to the solution. That slower convergence results in much more complex and interesting fractal structures than Newtons method gives. This is a rich source of amazing images. Two animations are published on here that are based on the secant method. Newtons method and Halleys method are techniques for estimating numerical solutions to equations based on successively refining guesses at the solution. They are iterative procedures just like the process for generating the Mandelbrot set, and they make some nice fractals. Depending on which function is used, many different images result, but they are all very self similar and dont new structure with deep zooming. The Nova Fractal is related to Newtons method. It has a lot of structure at higher magnifications and produces nice deep zoom images. A bug in the first attempt to render this fractal on this site created a new variation on the Nova fractal, which is the last image on the right below. The Bat Fractal resulted from a bug in the software while developing the Nova rendering. The Henon Map Fractal Phoenix Fractal results from iterating the Henon map, which is a second order polynomial that includes a term from one time step back, so its more complicated than the usual Mandelbrot set. This fractal has a whole page devoted to it on this site, and there are two short demo videos on the Demos page. Magnet Fractals are based on some equations from theoretical physics that describe how certain magnetic materials behave. In addition to advocating the artistic aspect of fractals, this site seeks to be a resource for anyone interested in math and computers.