$long play video fractal$

$long play video fractal$ $long play video fractal$

In the Mandelbrot set, you can identify many regions that show both quasi-self-similarity (which is more common) and true self-similarity (which is less common, but still exists). 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 This image shows a slice of the matter distribution in the Universe as simulated by the GiggleZ.

$long play video fractal$

Long play video fractal