3D Voronoi

My 3DVoronoi cluster.

I used only standard grasshopper components (without VB and C#).

Thanks to Philipp (Kazan, Russian Federation) for some corrections.

Attachments:

Voronoi 3d .ghuser, 28 KB

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Permalink Reply by Michael Pryor on August 30, 2011 at 6:00am

Pretty cool. What are the components used for this cluster. I'm interested to know because most others just use qhull.

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Permalink Reply by Philipp on August 30, 2011 at 6:40am

you can open the cluster to take a look. Great thing Nikolay noticed is the way brep - brep component works with surfaces (substracts everithing undert the surface so he used this feature for his voronoi.

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Permalink Reply by Vicente Soler on August 31, 2011 at 3:26am

Yes, I didn't realize doing things the proper way was so much slower. I replaced the boxes from this definition (http://www.grasshopper3d.com/forum/topics/voronoi-2) with planes and boolean differerence. It runs 4 times faster.

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Permalink Reply by Michael Pryor on August 31, 2011 at 7:47am

kinda makes me wonder why people use qhull then.

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Permalink Reply by Michael Pryor on August 30, 2011 at 4:40pm

Just to a look and I am surprised at how simple this is, excellent. Maybe you just obsoleted qhull. Yours is much faster. Now the hard part, finding a logical architectural meaning to apply Voronoi aside from aesthetics.

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Permalink Reply by Andrew Butler on August 30, 2011 at 5:10pm

Already on it.

I'm working on using 3D voronoi to define programme and structure for my current studio design.

Will upload pics when its working better.

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Permalink Reply by Juan_P on January 25, 2012 at 10:23am

Hey Andrew,

Im working on simmilar goal as you for my thesis project.. I would like ( if possible) to see some update as you suggested?

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Permalink Reply by Systemiq on September 2, 2011 at 5:17pm

Perhaps I am doing something wrong, but Qhull is still a lot faster.

For 100 points : Qhull(+breps creation/intersection)= a few seconds when 3DVoronoi = 1 min

For 300 points : Qhull about 12 seconds versus 7.2 minutes for 3DVoronoi...

(phenom x4 965BE, fast RAM)

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Permalink Reply by Michael Pryor on September 2, 2011 at 8:00pm

For me qhull is slower dunno why, I'm on a MBP intel i7 quadcore sandybridge w/ 8gb ram. I think the benefit of the cluster though is it's ease, especially for beginners. I find qhull a tad tedious to control (most newer users cant even install it properly), and I like in the cluster how u can set a brep boundary, unless I missed that in qhull.

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Permalink Reply by Systemiq on September 3, 2011 at 3:34am

I agree, the cluster is ready and easy to use.

Setting a brep boundary isnt very hard with Qhull (with latest Dimitrie's component), for some reason I couldnt use directly Dimitrie's defininion properly, but I used it as seen in the screenshot, removed the first 8 open polysurfaces with the shift component and the solid intersection works well with the chosen boundary. You might have to play a little with the Bbox scale too.