Euclidian tessellation question

Hy all.

I have a request for a project where we need to design an organic shape based on a triangular structure.

Does somebody know if it is possible in GH to tessallate an organic surface with equilateral triangles and shell them or populate a corresponding 3D object after.

This sounds like an Euclidian tessallation model , right?

Thanks for any help.

Replies to This Discussion

Permalink Reply by Jon Mirtschin on December 11, 2010 at 7:03am

Hi Rodolfo,

I've developed some tools to approximate a free form within tolerance (ie you won't get perfect mathematical equal edge lengths) comprising equilateral triangle faces. I've been applying this for a roof project I've been heping form find. As I mentioned in my email to you, I don't feel the tools I've created thus far are generic or simple enough at this stage to include in StructDrawRhino (as I would really like to include this when possible). Also, it hasn't been tested in depth so it's possible some surfaces might need particular attention to achieve good results. I've used a force density approach to form find from a starting grid with some special adjustments to achieve better answers.

This blog post http://geometrygym.blogspot.com/2010/09/grasshopper-curve-force-den... demonstrates the application of a force density grid alteration.

This discussion was interesting when I was investigating how to do this: http://www.grasshopper3d.com/forum/topics/triangular-mesh-with-edge...

So for the time being, anyone interested in seeing this applied can get in contact with me and I can advise if the technique can produce the form needed and what's required to do so.

Cheers,

Jon

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