The true size of the universe is probably much larger than the visible universe. The geometry of the universe suggests that it may have an infinite size and that it will expand forever. Even if the universe is not infinite, our visible universe must be a minute speck in a much larger totality

If you describe fractal magnifications in the same way that you do a microscope (for example, 10x, 50x, and 1000x), you quickly find yourself getting into ridiculously large numbers. Whereas microscopes are limited to around a million times magnification, fractal programs frequently use up to a billion, billion, billion, billion times, or more.

Instead of describing magnifications in terms of incomprehensibly large numbers that are very difficult to say,

computer and math wizards in the audience can call it the base two logarithm of the magnification, but we’ll just call it the number of zooms. Conversion of the number of zooms to the magnification is fairly easy. A magnification of one thousand is approximately 10 zooms. A magnification of one million (one thousand thousand) is approximately 20 zooms. A magnification of one thousand million is approximately 30 zooms, and so on.

the zoom in on this fractal is 713 times. this means The magnification of the picture when we did this animation is ten to the 214th power — that’s a one followed by two hundred and fourteen zeros. That’s equivalent to a million times a million times a million times…repeated many times. That’s serious magnification. At that magnification, a wee tiny subatomic particle would appear to be considerably larger than the visible universe! How much larger? Well, it actually only takes about one hundred and forty zooms to make an electron the size of the visible universe, so 713 zooms, is simply an incomprehensibly, outrageously, enormously, ridiculously large zoom level.

http://www.hd-fractals.com/purple-haze/fractals/animations/425

For copyright reasons and to have the ability to sell my animations legally I paid a licence fee to use that track. If you would like a copy you can do one of two things

1) buy a copy of “purple haze” ($3)
2) go to jamendo and download it for free (personal use only) you can find the whole album it was taken from here….

http://www.jamendo.com/en/album/7505

**although it is free to download the track/album I would ask you to seriously to please make a donation to the artist to encourage them to continue producing music.**

oceans of love

teamfresh

Excellent video I’ve seen an other video from you about e214 but it’s only about 5 minutes. Why there are 2 videos of diferent duration?

I love the music of that video but since a few days i cannot play it on vzaar. I know you don’t have the music of the 1′ minutes vdeo but do you have the music of the 5 minutes video?

Thanks a lot!

in answer to your questions…

the Mandelbrot shape at the end IS a direct result of the formula, no clever video editing was used!
If you zoomed into the same area as before you would end up hitting even more complex patterns found within the set. The set itself is INFINITELY DEEP! So you could just go on zooming forever as long as you stay on the boundary of the set.

If you know your way around the fractal you could then end up arriving at another one of the infinite amount of smaller Mandelbrot sets that are found within the original. So in short yes you could just “jump” there and then carry on zooming.

want to know more about the mandelbrot set? click this link…

http://www.hd-fractals.com/what-is-the-mandelbrot-set/fractals/446

The only problem that is faced when the set is magnified to this extent (ie: e214) is the amount of time it takes to render each image/frame.

Because the set is calculated using a mathematical formula
- that is made from complex numbers –
the deeper you go the more precision you need regarding the maths.
so e214 is a short way of saying –
there is 214 numbers in the string after the decimal
- ie: 0.56685687967578……..(214 digits)

want to know more about the math? click this link

http://www.hd-fractals.com/mandelbrot-maths/fractals/434#content

you also have to take into account the amount of iterations that are used to create the image. (each iteration is the result of the formula being repeated) so the more iterations you have also affects how long it it takes to calculate.

here is an interesting link to a post i made explaining iterations a little more…

http://www.hd-fractals.com/428/fractals/428#content

In short this means that although I was able to render the very first frame of the animation in a fraction of a second, the final frame took more like 18 hours to render.

As for the camera angle, it is possible to change it – but in this instance I did not. The Mandelbrot set itself is totally 2D although some parts appear to have a three dimensional feel – It is as flat as a pancake, so if you changed the camera angle it would look a bit like google earth when you tilt the camera- it would strech the image but still be flat. Any angles you saw were a direct result of the formula

As for the set up of my rendering – my exact methods are under wraps

but I can tell you that I lovingly create the animations on my beat up laptop
- then I have a separate dedicated machine (running a linux operating system) for the rendering of the animation.
I render all my animations with anti – aliasing. This means that an animation takes longer still to render but in my opinion it is worth it.

Dont know what anti aliasing is? – click this link to find out!

http://www.hd-fractals.com/what-is-fractal-anti-aliasing/fractals/158

hope this helps your curiosity

oceans of love

teamfresh