mindpixel's Journal: Pasting Together Julia Sets...

In the spring of 1995 I started to notice patterns in the primary index of my Lobner Prize entry, Jackie. She worked much like Alicebot works now, except she indexed stimuli in a filtered phonetically invariant form--essentially I stripped out all the high frequency words, then converted the remaing text to soundex codes, and sorted those alphabetically. The patterns I notced were simple, because her corpus was small, but they gave me a vision.

Today I found a paper by Jack Milnor who won a Fields Medal in 1962 (His most remarkable achievement was his proof that a 7-dimensional sphere can have several differential structures. This work opened up the new field of differential topology)...

Anyway the paper has made me quite giddy as it contains images of a sphere tiled with Julia sets!

A Julia tiled sphere is exactly the image I had in mind in 2002 when I started to see mind as a seven dimensional hypersphere covered by a complex fractal pattern [I had the Julia patterned hypersphere in mind as early as 1996, but I didn't know hypersurface was a maximum at about 7.2 dimensions until 2002]. The colour of every point on the surface of the hypersphere coresponded to three dimensions of emotion (Pleasure, Arousal, and Dominence--mapped to the hypersphere as red, green and blue) with the intensity of every point being related to the coherence of each point. The coordinates of each point were the seven dimensional phonetic codes that I had I saw in Jackie that started this whole trajectory.

Life is a giddy fractal!