Chinese Dragon Ferns And Needles On Fire In Ice.
OK this one is sick! if you watch it to the end your eyes might bleed! A deep magnification of the infinity deep and vastly complex Mandelbrot fractal set. The final magnification is e.75. 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 nearly 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!









Ian Anderson
September 30, 2009
@ 7:57 pm
Excellent work – plenty of structures I’d never seen before and at a quality that allows proper appreciation. What software allows for such deep zooms?
teamfresh
October 1, 2009
@ 7:18 pm
Thank you for you kind comments on my work Ian. I used FX and rendered this 1280×720 animation anti-aliased 4×4. It took a little while….
the original .MOV for e75 is far superior to this one and will be available for download soon.
Ian Anderson
October 3, 2009
@ 7:55 pm
It’s certainly an amazing piece of software! For perspective, I attempted to explore a similar path using Fractal Forge (still quite a fast render time for Mandelbrots) – it reached its limit after less than 1/10 of this journey
teamfresh
October 5, 2009
@ 12:45 am
If you are after a deep zoom its very good. You are limited on the colouring algorithms though. I think the last frame of this animation took around 10-12 hours.
teamfresh
October 15, 2009
@ 4:36 pm
check out
http://www.metacafe.com/watch/940532/3d_mandelbrot_fractal_set_zoom_escape
Its another example of running out of precision. its made with chaos pro.
It has a wicked openGL 3D engine but limited precision
as you can see when it goes all blocky at the end!
and here is another
http://www.metacafe.com/watch/964746/3d_mandelbrot_fractal_zoom_smartie/
Jacob Klein
March 8, 2010
@ 9:03 am
Stunning! Very glad the NYT linked to your work; these are the best fractals I’ve ever seen.
I have a theoretical question: if the Mandelbrot set is infinitely large, does that mean it contains all possible shapes? Or does it repeat to often to include all possible forms? In other words, if you set your color palette to use all colors, and I gave you any image, and infinite amount of time, would you be able to find that image somewhere in the set?
Great work!
teamfresh
March 8, 2010
@ 12:47 pm
Thanks Jacob! Good question too. I have also wondered this and in my journeys into the set I do see many shapes that I see in life – always seem to be natural looking shapes – I will throw this question up with some of my friends and post the results here later…
teamfresh
March 9, 2010
@ 12:52 am
So after a little debate the answer to your question would be – NO.
Whilst the set of counting numbers is infinite, Infinite is not all inclusive.
You wont see every possible shape if you just go deep enough into the Mset. Some of the structures change with certain rule, that already are known. All the other structures look a lot like having rules which just aren’t entirely described yet.
If you want a simpler example: Take time (in the classical newtonian way). Time is measured by splitting a periodic process into smaller units or counting how many times that periodic process happens.
While this process might be infinite, it does include only itself.
Want to read more? check out this thread…
http://www.fractalforums.com/introduction-to-fractals/if-the-mandelbrot-set-is-infinite/