The Clixbians: Atavistic Romantics; Romantic Atavistics

[burgunder]

atavism n. recurrence of or reversion to a past style, manner, outlook, approach, or activity

romantic adj. marked by the imaginative or emotional appeal of what is heroic, adventurous, remote, mysterious, or idealized

Ever felt sane and sated hand-stitching something that could've been machine sewn

Comments

[varn_ix]

Seahorse Valley is the valley between the body and the butt of the Mandelbrot set. So named because of the spiral seahorse tails.

Given enough zoom, you can find copies of the original mandelbrot set in there, which is pretty fascinating. Alas, the ZX Spectrum doesn't possess enough decimal places to go this close to the critical boundary.

http://video.aol.com/video-detail/mandelbrot-fractal-zoom-into-seahorse-valley-alt-version/2493839832

This one is even more fascinating, it goes into levels of detail (= decimal places and iteration steps) that I've never seen before, and it actually impressed the hell out of me:

http://video.aol.com/video-detail/baroque-mandelbrot-zoom/2040008705?icid=acvsv2

Alternatively, the Seahorse Valley can be a Julia set drawn with the complex parameter from the vicinity of the Mandelbrot Seahorse Valley. A good tool to explore the dependence of the Julia set geometry on the complex parameter (and its location relative to the Mandelbrot set) is this page:

http://aleph0.clarku.edu/~djoyce/cgi-bin/expl.cgi

An interesting phenomenon (which isn't really apparent in the above page because they don't iterate deep enough) is that if you click on the black portion of the Mandelbrot set, then the black portion of the corresponding Julia set will be connected, and if you click outside the Mandelbrot set (on the colored area), the Julia set will be completely disconnected. Some geometries near the Mandelbrot boundary are very beautiful (Fatou dust).