Grasshopper

algorithmic modeling for Rhino

I have a 2D map in rhino, made from pointclouds from grasshopper and I need to make it 3D into a globe without anything being distorted. Does anyone have any suggestions how to do this? The longitudes and Latitudes are all also correct so I can plot things in the correct country- when it goes to 3d does the longitudes and latitudes remain in the right place?

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If you're turning something from a plane into a sphere, it has to be distorted...

Assuming you just want a straight mapping from plane UV to sphere Lat-Lon, you have two basic options:

  • convert the point coordinates using some expression. This is basically just a bunch of sines and cosines to turn (u,v) into (x,y,z)
  • map your geometry using a plane surface and a sphere surface.

The latter approach is probably easiest.

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The least distorting scheme is folding things up, as Bucky Fuller developed and has since been improved on by using spherical geometry:

http://www.win.tue.nl/~vanwijk/myriahedral/CAJ103.pdf

Thank you for your help, do you know how I can translate 2D polylines onto a spherical surface? (Please see attached file)

Your image is broken,
but this is easy!

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Is there a way to do this to a set of multiple referenced surfaces or breps?

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