foxgrrl: (Default)
foxgrrl ([personal profile] foxgrrl) wrote2006-03-28 11:24 am
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What immortal hand or eye Could frame thy fearful symmetry?

This is what keeps me awake at night...


Mandelbrot set of the iterated cubic polynomial zn→z³n-1+c {z,c ∈ ℍ}
Permutation: z0 = 0.1 + 1i + 0j + 0.1k
Surface is set of all quaternions attracted to infinity when n=12.
Plotted Volume: 0.5 units from <0,0,0,0> along <0,0,0,1> vector.
Three space rotation around θ: 100 × 3.60°




Light Source: point at <0,0,0>
White Cube: 0.2 units along each edge, centered at <0,0,0>
Walls: cube 20 units along each edge, centered at <0,0,0>
ext_3407: squiggly symbol floating over water (Iterations in green and gold)

[identity profile] hummingwolf.livejournal.com 2006-03-28 08:27 pm (UTC)(link)
Yay fractals!

(Not that I've waited for the whole image to load, since I'm on dial-up. But I'm all in favor of fractals just on principle.)

[identity profile] ixx.livejournal.com 2006-03-28 08:30 pm (UTC)(link)
That's gorgeous!

Re: Here's something else that may interest you...

[identity profile] akashayi.livejournal.com 2006-03-28 09:33 pm (UTC)(link)
they're all beautiful. you should be kept up at night often :D
ext_646: (Default)

[identity profile] shatterstripes.livejournal.com 2006-03-28 11:28 pm (UTC)(link)
Woo. Very cool. The stuff that looks like a translucent volume is actually a fine filigree of close-packed threads, isn't it?

I have to wonder if this might do better encoded as a video file rather than an animgif... but then you get into Codec Hell decisions.

[identity profile] wolphin.livejournal.com 2006-03-29 12:36 am (UTC)(link)
Bizarre... since the equations themselves would put me to sleep. But it is a cool image.

[identity profile] samiathome.livejournal.com 2006-03-29 12:37 am (UTC)(link)
mmm I love the mandelbrot set.... very pretty :)

[identity profile] studly-tgod.livejournal.com 2006-03-29 07:19 am (UTC)(link)
Okay. Math. Bad. Very bad! *lol*

And to think:

(Anonymous) 2006-04-08 09:56 pm (UTC)(link)
Once upon a time, my brain might have been capable of handling that....

[identity profile] grepmaster.livejournal.com 2006-04-30 07:30 pm (UTC)(link)
When I saw the image my jaw dropped open, emitting a "**** ****!" ... I mean, I've diddled around with quaternion fractals before, but wow!