![]() When you see a small region that has truly identical properties to the entire set itself, we call those regions "self-similar." If something has almost the same properties as the larger set but with subtle differences, it exhibits quasi-self-similarity, but if the small region has truly identical properties to a larger region, then it exhibits true self-similarity. (Brighter colors are closer to being in it.) As you can see, many of the patterns that emerge are intricate and self-repeating. The way the Mandelbrot set is visualized is by representing the border between what's actually in the set versus what's outside of it, with color coding showing how far away something is from being a member of the set. Under many circumstances, if you wait long enough, gravitational collapse will produce identical structures, just scaled up or down in size depending on the size of your system. On the largest scales in the Universe, gravitation is the only force that matters. The dark matter halos that form around the largest bound structures we know of appear identical to the ones that form around Milky Way-sized galaxies, as well as the tiny substructure clumps that exist both around smaller galaxies and in intergalactic space itself. If you take a look at the structures that form in the Universe, many of the things we see on large scales appears at smaller scales, too. There are many cosmic structures that seem to repeat on progressively smaller scales, but does that mean the Universe is truly a fractal? Greg Poole, Centre for Astrophysics and Supercomputing, Swinburne University Zoom in to discover natural fractals such as mountains, rivers and coastlines.This image shows a slice of the matter distribution in the Universe as simulated by the GiggleZ. ![]() ![]() The magnificent free program that allows you to explore anywhere on Earth. S, the fractal zoomer, so you can blend yourself and your friends into the infinite fractal landscapes. This incredible realtime video manipulation software allows the user to do all sorts of fun and beautiful live video effects, and best of all it is integrated with Xao. Interact with it by voting on your favorite sheep, and help contribute to the fractal evolution! Free! Videator. The Tiera-zon program.ĭownload the screensaver (for Mac, PC or linux) and let your computer help create some of the most beautiful fractal animations anywhere. A graphics monitor of a least 256 colors is required, high color or true color is prefered since it generates fractals in true-color. T iera-z on is a freeware fractal generator which runs under Win95/NT. Ultra Fractal This new fractal program is one of the most flexible and capable fractal programs available for Windows. This is an incredible evolving collaborative fractal screen saver project. A professional program, it supports animation as well as high resolution rendering. D modeling program that makes fractals really well. Tutorial uses the freely distributed program 'Tiera-Zon'. Introduction to fractal art for those who wish to create it. XenoDream This is a complex and powerful 3D modeling program that makes fractals really well. Fractal dimension and standard deviation coloring method. The Tiera-zon program is about twice as fast as the Iterations/ Flarium programs. ![]() The complete source for Tierazon version 2.7 can be downloaded by clicking Here. When you are ready for more power, Ultra Fractal is an awesome, professional package that supports animation, arbitrarily deep fractals, and extremely high resolution. The first one may be a little more powerful and possibly a bit faster, but the second one is a little easier to use. It’s simply wonderful! You can pinch to zoom or spin and steer by tilting. Pads, and it is the best touch screen fractal explorer EVER made. Tiera-zon (& other Stephen Fergusons' Programs) (Shareware) Tiera-zon is my favorite fractal program & the one that I have used for years to create the majority of the fractals on this website. Used by children everywhere, it’s even simple enough for adults. We believe that the best way to learn about fractals is to explore them yourself! Please download the fractal software below and begin to explore the infinite realm of fractals.
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