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GeoVoronoi (and GeoDelaunay)

Christopher Wolfram, WOLFRAM
Posted 5 years ago

An example of a GeoVoronoi

POSTED BY: Christopher Wolfram
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POSTED BY: Richard Hennigan

Ah, that makes a lot of sense. You are basically getting only the "outer" hull (a bit like the upper/lower hull) instead of the full convex hull. I'll make that change if I submit these to the function repository.

Edit: I wonder why GeoVoronoi seems to work without that extra vertex.
POSTED BY: Christopher Wolfram
J. M.
J. M.
Posted 5 years ago

That's because Voronoi already naturally wraps around, similar to how a planar Delaunay is bounded, but a planar Voronoi covers all of the plane.
POSTED BY: J. M.

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POSTED BY: EDITORIAL BOARD
J. M.
J. M.
Posted 5 years ago
POSTED BY: J. M.
POSTED BY: Christopher Wolfram
J. M.
J. M.
Posted 5 years ago

I agree; in a sense, that's what made the undocumented functions a little more convenient to use, since they were (apparently) orientation-preserving. In the planar case, you can do a reconstitution with ConvexHullMesh[], but it is murkier in the spherical case.
POSTED BY: J. M.
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