#
Multivariate Splines and the 4 Color Map Problem

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Notes

The essential idea of reducibility is that any spline in S14 can
be extended into the reducible configuration. The total
dimension of S14 therefore is the dimension of S14 on the
current subtriangulation minus the reducible configuration, plus
the number of degrees of freedom available on the reducible
configuration. That latter number must be such that the
validity of the dimension formula is preserved.
As before we need to deal with subtriangulations rather than
just triangulations.

[21-Apr-1997]