Hp 50g Math question: Intersection of 2 triangulars

[peacecalc]

Hello all,

it's my first post here:

1) It is a good idea to make a new kategory, labeled "mathematics"? In my opinion: yes.

2) My problem six points are given in 3D and three of this points define the trinangular ONE and the other three the triangular TWO. I want for my hp 50g an input of six vectors and as an output an empty list (no intersection set), a list with two vectors (if the two vectors have the same value, then the intersecting set is a point, if they are different then the set is a piece of a line), if the list contains more then two vectors the intersecting set is a aera.

That is the plan, my brutal force solution looks for me clumsy and fanciless. And it is a solution which is far from a "fast" solution.

Does anybody know more about that kind of problems?

sincerely
peacecalc

P.S.: Edit: corrected headline