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hd-fractals.com
This lens focuses on the brand new blog of a fractal artist called teamfresh. teamfresh blatantly uses this blog to showcase his latest and greatest animations to the world. This blog is a must see for all fractal fans around the world and if you don't know what a fractal is then you definitely need to check this blog out.
What is the mandelbrot set?
Fractal facts.
The Mandelbrot set is one of the most famous of all fractals. It is named after the man who discovered it. Benoit Mandelbrot.He is one of the people who pioneered the exploration of fractals and other chaotic systems.The Mandelbrot set is a fractal. What this means is that the boundary between the Mandelbrot set and the surrounding area that isn't the Mandelbrot set is not a simple line or a curve (one dimensional), but it also isn't a filled-in circle or square (two dimensional). It is so convoluted, folded, and detailed, that it is considered to have fractional dimension.
When you double the magnification of a fractal, the length of the curve, and hence the area covered, does not merely double. All previously visible portions of the curve double in length, but new bumps, curves, and fjords in the boundary become visible and add to the length.
The Mandelbrot set has been proven to have a fractal dimension of two. That means that each time you double the magnification, the length of the boundary increases four times. It also means that the Mandelbrot set is as complicated as a fractal can get. The length of the boundary of the Mandelbrot set is infinite - it can be any length you want, if you measure it with a small enough measuring stick.
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- rockrat rockrat Nov 30, 2009 @ 6:45 pm
- Like the images a lot but didn't understand much of the explanation. Guess I'm just a "look at the pictures" kind of guy! Going to be an interesting lens when you're finished.
Fractal zoom to e130
by teamfresh
Trip to e130.
A magnification of the infinity deep and vastly complex Mandelbrot fractal set with colour cycling. The final magnification is e.130. Want some perspective? A magnification of e.12 would increase the size of an actual single particle to the same size as the earths orbit! e.21 would make that particle look the same size as the milky way! e.42 would be equal to the universe! This zoom is over double that. If you were "actually traveling" into the fractal, your speed would be faster than the speed of light.
What is a fractal anyway? Well as you asked I will give you a brief run down.This particular fractal is called the Mandelbrot fractal set. The Mandelbrot fractal set is created using a mathematical formula that involves complex (infinite) numbers. These numbers are plotted onto a graph to produce the image. It is named after Benoît Mandelbrot. A famous mathematician who discovered fractal geometry. The boundary of this fractal is infinite. Meaning that when you magnify it, the edge of the boundary eventually becomes infinity complex. Buried within the Mandelbrot set are an infinite amount of smaller sets - that are self similar to the original. This animation is a journey to a set so infinitesimally small that if you could see all of the original it would be bigger than the universe!
A magnification of the infinity deep and vastly complex Mandelbrot fractal set with colour cycling. The final magnification is e.130. Want some perspective? A magnification of e.12 would increase the size of an actual single particle to the same size as the earths orbit! e.21 would make that particle look the same size as the milky way! e.42 would be equal to the universe! This zoom is over double that. If you were "actually traveling" into the fractal, your speed would be faster than the speed of light.
What is a fractal anyway? Well as you asked I will give you a brief run down.This particular fractal is called the Mandelbrot fractal set. The Mandelbrot fractal set is created using a mathematical formula that involves complex (infinite) numbers. These numbers are plotted onto a graph to produce the image. It is named after Benoît Mandelbrot. A famous mathematician who discovered fractal geometry. The boundary of this fractal is infinite. Meaning that when you magnify it, the edge of the boundary eventually becomes infinity complex. Buried within the Mandelbrot set are an infinite amount of smaller sets - that are self similar to the original. This animation is a journey to a set so infinitesimally small that if you could see all of the original it would be bigger than the universe!
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Fractal zoom to e214
by teamfresh
Trip to e214. This is the deepest factal animation in HD on the internet today! And I made it :)
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