Grasshopper

algorithmic modeling for Rhino

3d Mandelbrot isosurface

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 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)

Comment by Marios Tsiliakos on October 11, 2012 at 6:54am

Ohhh, you managed to get a mesh out of that ma[n]dness? is there any relaxing involved?

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