Voronoi on Torus

Comment

Comment by Arie-Willem de Jongh on August 21, 2012 at 12:06pm

Here ya go, have fun and let me know if you do something cool with it :)

I can't seem to upload the def, so i posted it on my blog:

http://www.grasshopper3d.com/profiles/blogs/voronoi-on-torus

Comment by Terry John on August 21, 2012 at 9:10am

yeah,definition

Comment by omer on July 3, 2012 at 3:19am

please share the definition

Comment by Arie-Willem de Jongh on June 7, 2012 at 8:53am

I used a rectangular grid, did a random reduce on the points and i mapped those points onto the torus using the surface morph component. The trick is to not have an 'edge', see image below,

This happens because of the edge of the surface. Although your torus may seem topologically closed, it has still a start and end. To solve this is I made my rectangular point grid, 'tillable'. What I mean is that you could copy it in both ways and it will seamlessly blend on both edges. Which means that the voronoi in the end gets a smooth transition. The only issue is that the transition is mirrored, this only is for some voronoi cells. I used a cylinder to explain, because it is easier to see than a torus, because it only connects with one edge. see image below:

Comment by sandy wang on June 6, 2012 at 11:30pm

did u use morphing? any files that u can show us? ^^

Comment by first1 on June 6, 2012 at 8:03am

Great!