new buddhabrot gallery!

[Eric B]

http://www.fractalfreak.com/Sands/SandsGallery.html

It's fascinating how these fluid, Seurat like, images emerge slowly, point-by-point, from a fog. The product of a very simple computer program. The boundary about these strange transcendental numerical identities - the points comprising the Mandelbrot set, which are always found together as islands or 'minibrots', contributes to these images. One could say you're looking at the mortal part of this infinite abstract identity.

The only Islands (minibrots) worth rendering this way are those which lie along the real axis. The symmetry about the real axis creates all sorts of patterns and faces.

I like the Buddhabrot rendering algorithm. It's only slightly more complicated to code than the utterly simple escape time 'shader', and displays much more information. The drawback is how time consuming this rendering approach is - hours to days for images with maximum iterations in the millions. Most of the time is spent examining points which comprise the Mandelbrot set and therefore do not contribute to the image, unfortunately. Creating these images is not for the impatient.

Enjoy

..from the gallery

[Alef]

This are the most different. There even are slight dark line of real axis.

Throught with RGB dimension it could reveal much more.

[Eric B]

Yes you're correct. Color would reveal more, though I don't like how colored buddhabrot images appear. It detracts from the patterns I think.

I like to figure things out for myself so perhaps I'll create some sort of algorithm to give these ghostly images color.