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Suppose I have a Nef_polyhedron_3 consisting of a pair of non coplanar facets.
The facets share an edge.
For example if you have the vertices in [x,y,z] notation.

a=[0,0,0], b=[0,10,0], c= [10,0,0], d=[10,10,2]

and the triangles [a,b,c] and [b,d,c] they both share the edge from b to c.

how do I find the perimeter of this Nef_polyhedron_3, that is to say the four
outer edges that are not shared by more than one facet?

I am trying to find something that will work for surfaces consisting of any
number of faces which may have adjacent non coplanar facets.

I was looking at "exploring a sphere map" am I going in the right direction?

Regards

Giles