3D graphics programmers using Python?

[Brandon Van Every]

Bengt Richter wrote:
> On Tue, 04 Feb 2003 20:31:46 GMT, "Brandon Van Every"
> <vanevery at 3DProgrammer.com> wrote: [...]
>> Breaking up circles is trivial, you're dealing with constant arc
>> lengths.
>> Breaking up spheres is much harder, the arc length changes over the
>> triangular patch.  I've finally finished wrapping my head around the
>> math of
>> all of this.  I've solved the problem to the degree it can be.
> [...]
> What do you mean by "the arc length changes over the triangular
> patch"?  Just curious.

Pick 3 distinct points on a sphere.  Call the area they bound a
"SphereTriangle."  Even if the SphereTriangle is equilateral, great arcs
traced from a vertex to an opposite edge do *not* have constant length.
That means when you're trying to compute points on the SphereTriangle, you
end up having to use arccosines.

--
Cheers,                         www.3DProgrammer.com
Brandon Van Every               Seattle, WA

20% of the world is real.
80% is gobbledygook we make up inside our own heads.