http://www.friedrichromstedt.org/python/pyclip/a01.Zerteilung.pdf
(It's unfortunately in german, but the graphics are self-explaining)
A school mate working together with me on the project has worked that out.

H = number of corners of the front triangle lying inside of the back triangle

V = number of corners of the back triangle lying inside of the front triangle

S = number of the collinear edges of the two triangles

Z = number of intersection points of the two tringles' edges, minus
the number of those occuring because of collinear edges.

Red: front triangle
Black: back triangle
Green: subdivision lines in the back triangle.

I will check my implementation in C++ today.  I will maybe need some
advice in making a Python module out of it.

Friedrich

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