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.
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)
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!
I also used Millipede in this image to generate the mesh but to really capture the detail you need a voxel/isosurface renderer that calculates the surface boundary per pixel.
The only way to display this thing in Rhino is to create a mesh but is really inefficient and you run out of memory very fast.
I scripted the definition so it builds the mesh in chunks without running out of memory, but still on higher res details won't come close to a native isosurface renderer. Probably could add some more detail before running out of memory by running the reducemesh command after every chunk is generated (unless edges between chunks become noticeable).
Marios Tsiliakos
Ohhh, you managed to get a mesh out of that ma[n]dness? is there any relaxing involved?
Oct 11, 2012
Daniel Piker
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)
Oct 11, 2012
Marios Tsiliakos
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!
Oct 11, 2012
Daniel Piker
Oct 11, 2012
Tudor Cosmatu
drool! Post some more Pics ;)
Oct 11, 2012
Daniel Piker
and here it is taking a larger domain and power 3
iteration 1:
iteration 2:
iteration 3:
Oct 11, 2012
Daniel Piker
power 4, iteration 2:
Oct 11, 2012
Tudor Cosmatu
Really nice!
Oct 11, 2012
Daniel Piker
Here's the definition if anyone wants to play:
http://dl.dropbox.com/u/26034251/mand3d_iso.gh
Oct 11, 2012
Nick Tyrer
this is madness!
Oct 11, 2012
Amin Bahrami
awesome
Oct 11, 2012
Benlloyd Goldstein
dope
Oct 11, 2012
kwangmin yeo
wow!!!
Oct 11, 2012
Behnood Eghbali
OMG! It blows my mind.
Oct 11, 2012
Vangel Kukov
Thanks!GW!
Oct 12, 2012
Pieter Segeren
sweeet:)
Oct 13, 2012
Vicente Soler
Have you seen the "mandelbulb"?
I also used Millipede in this image to generate the mesh but to really capture the detail you need a voxel/isosurface renderer that calculates the surface boundary per pixel.
The only way to display this thing in Rhino is to create a mesh but is really inefficient and you run out of memory very fast.
Dec 18, 2012
Vicente Soler
I scripted the definition so it builds the mesh in chunks without running out of memory, but still on higher res details won't come close to a native isosurface renderer. Probably could add some more detail before running out of memory by running the reducemesh command after every chunk is generated (unless edges between chunks become noticeable).
Dec 19, 2012