Enneapod - HD 720 Widescreen - Julia dust fractal

A semi deep zoom into a Julia fractal (around e^-68 I think).

As will be seen near the end the seemingly connected structure becomes two parts, and thereby the "seed" for this Julia fractal is outside the Mandelbrot (fractal), it is then a dust fractal.

The solid structure is made of increasingly smaller self similar shapes (an infinity amount of them), which all together makes the fractal look as a whole (which it isn't).

The zoom is at the origon of the Julia fractal as this is the place that is known to show if the fractal is connected (in or on the Mandelbrot) or disconnected (dust fractal and outside the Mandelbrot).

An interesting aspect of the Julia fractal is that the precision needed increases towards the centre (as concentric circles) at any given zoom factor. It is then possible to speed up the calculations of the whole plane by adjusting the precision as an variation from the origon. The trick wasn't used in the animation as it was used to gather the information about this observation.

Due to the "deepness" of this zoom, regular floating point numbers wasn't enough and bignum was used, the final stage of the fractal used 768 bit. At the start regular 64 bit was used (on 64bit single core AMD CPU running Debian 64bit Linux). Total render time about 500 hours.

Category:

Film & Animation

Tags:

• Julia
• Fractal
• Math
• Complex
• Dust

[Qman404]

Ser godt ud :)

[ImpoliteFruit]

Thanks :D

[patrickh0]

That is awesome.

[ImpoliteFruit]

Thank you. :)

[TheTrasp]

You just gotta love julians <3 thanks for a nice trip

[designsbyamerianna]

beautiful looks like lace.