Project17

Deep-zoom animation of the Mandelbrot set to a size of 6e-40. Based on a suggestion of William of FractalWizz to use a still image I made back in 2004. Demonstrates a cool new colorizing technique and uses 9X oversampling to reduce pixel sparkle/aliasing noise.

The 3600 frames in this video took 522 hours to render on a 2.4 GHz quad-core Core2 system with the 9X oversampling. The final frame has a size of 6e-40, or a magnification about 7e39 times larger than the first frame.

Category:

Entertainment

Tags:

• mandelbrot
• antialiasing
• fractal
• animation
• deepzoom
• deep
• zoom
• fractalwizz

[gravitymindofgod]

Thankyou so Much for these spaces to contemplate our nature, Much Love.

[DeepZoomNet]

@gravitymindofgod Glad you like my work. Nature is a pretty amazing thing to contemplate, isn't it? And to think these abstract things are just floating out there with no tangible substance, just what our minds make them be. Amazing.

[AllFractUp]

I have seen three of your videos so far and this is the best one yet.

[DeepZoomNet]

Thanks! I have a few others that I just love a bit more for various reasons, even if they are not quite as pretty, but this one is definitely quite gorgeous.

[FractAlkemist]

excellent!  nice colors too! cool music.

[DeepZoomNet]

Thanks! Glad you like it. I was thinking of you while I was selecting the colors. Not too much blue...

[DeepZoomNet]

EXCELLENT question!

Yes, your coordinates are essentially correct.

There are no secrets when zooming in like this.

[j9dz2sf]

0.2691947205051341926758056159­7649595 + 4.4054451979255574909825234875­645044e-3 i ?

[DeepZoomNet]

Actually there are ways to reduce the calculation time by generating a larger image than needed and then digitally zooming into it with interpolation techniques. I have done that in some other videos. This one doesn't use that approach. And even with that, it still takes longer and longer and you zoom in more.

[DeepZoomNet]

It is like Kesava and fractalzooms said, it it two things. The deeper you go, the more digits you have to keep track of in the arithmetic, and at higher magnifications you have to iterate the underlying equation more to get a useful image.

Each frame uses the same number of points, 640x480 in this case, so it doesn't get easier as you go.