Grasshopper

algorithmic modeling for Rhino

The intersection of the 4d Mandelbrot Julia set with a unit 3-sphere, stereographically projected to flat 3-space. Using HoopSnake for the iteration and Millipede for the isosurfacing.

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Comment by Amin Bahrami on October 11, 2012 at 10:00am

awesome

Comment by Nick Tyrer on October 11, 2012 at 9:25am

this is madness!

Comment by Daniel Piker on October 11, 2012 at 9:08am

Here's the definition if anyone wants to play:

http://dl.dropbox.com/u/26034251/mand3d_iso.gh

Comment by Tudor Cosmatu on October 11, 2012 at 8:57am

Really nice!

Comment by Daniel Piker on October 11, 2012 at 8:04am

power 4, iteration 2:

power 4, iteration 3:

Comment by Daniel Piker on October 11, 2012 at 7:22am

and here it is taking a larger domain and power 3

iteration 1:

iteration 2:iteration 3:

iteration 4 (the sampling resolution isn't really high enough here to capture all the detail):

Comment by Tudor Cosmatu on October 11, 2012 at 7:21am

drool! Post some more Pics ;)

Comment by Daniel Piker on October 11, 2012 at 7:10am

Here it is after another iteration

Comment by Marios Tsiliakos on October 11, 2012 at 7:02am

Really Nice. I have posted the question before you even managed to add the description of the photo(that would have answered it) :). Amazingly interesting outcome, lots of complexity in this isosurface. thumbs up! 

Comment by Daniel Piker on October 11, 2012 at 6:58am

Hi Marios, no there's no relaxation. Like the 2d Mandelbrot, it starts out fairly smooth and gets rougher with further iterations (this is after just 4)

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