– 1280×720 – 1GB – mp4 h264 aac – 4mins – anti aliased x4 -
screenshot
OK this one is crazy! 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.
The music we used is Tonu Su Tonu (Pablo Rez Remix) by Ivan Masa…
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!
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?
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.
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
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.
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/
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!
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…
So after a little debate the answer to your question would be an interesting – NO/YES
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/
Very cool! The theme you are using to show off your content is awesome! Where can I find it? This is the first time I have visited your blog, as I have found it through a google search, I will definitely be back. I have bookmarked your blog.
It is Powered using WordPress. (WordPress is 100% free) WordPress is a powerful, yet easy to use blogging platform. Once WordPress is installed on your web space, you can then install new themes to make your blog more individual. There are plenty of free themes to choose from, install and customize. I wont lie to you. The theme that is used for hd-fractals.com is a premium theme.
want to know more?
http://www.hd-fractals.com/like-this-vlog/
great post as usual!