Creating an Even Hexagonal Mesh

I've been playing around more with Grasshopper lately (a long time...dabbler), and while working through paneling shapes onto a double curved surface, I haven't been able to resolve this so that the hexagons are evenly distributed (they are squished and warped in some areas due to the UVs in the original surface). I tried to "rebuild", which makes better hexes, but it drastically changes the original surface, which I am trying to work around.

+ surface

+ original hexagons

+ "rebuilt" surface

Is there a way I can fix this in rhino/grasshopper? Either to redistribute the UVs evenly or to make the hexagons more uniform? I have tried (as you can see in the meshing components on the bottom of the definition) to break it down with meshes, but now I have a bunch of even squares.

Thanks!

Attachments:

Warped_Surface.3dm, 252 KB
2012_HexOnSurfaceWithEdges_meshed.gh, 62 KB

Replies to This Discussion

Permalink Reply by pyrit on July 20, 2012 at 12:12pm

maybe constructing the base surface by a loft(section curves) could give some better results, but the section curves should have same controlpoint number and should be spaced out properly...(at the first pic isocurves are bundled somehow in a place where the curvature doesnt need it i think)

Permalink Reply by Igor on July 20, 2012 at 4:43pm

As the surface of double curvature depending on curvature has different density of isolines, this way to make uniform hexagons it is impossible. There is a script which solves this problem.

Attachments:

HoneyComb_Centroids[Digital Substance].ghx, 333 KB

Permalink Reply by dionysus cho on July 23, 2012 at 5:26pm

Thank you for your suggestions. I recut the surface into sections and lofted it to smoothen the surface and the hexagons are a lot more regular now, though not perfect...it works okay!

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