The Morgan-Scott split is a tessellation of a triangle by
seven small triangles, as indicated in the figure above
(which also shows the cubic domain point). It has been used
as the basis for the construction of finite elements. It
also serves as a well known example for a geometric
degeneracy. The dimension of S12 is 6 generically, but 7 if
the split is symmetric in the sense that the three green
lines as indicated in the small figure to the left all
intersect in one point. Note that the green lines are not
part of the triangulation. The picture to the right shows
a generic Morgan-Scott split.
[01-Nov-2023]