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It looks like you still just use delaunay triangulation on the points on the surface of the sphere. And then he is connecting the resulting vertices with lines along the surface of the sphere. The lines look straight from head on, but are curved in 3d space.


Actually I think you use delaunay tetrahedrization on the points in 3-space. The points HAPPEN to be on the surface of the sphere.

Then you intersect the sphere with the polytopes, which result in great arcs.




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