Cross Product of multiple vectors

Hi,

mathematically speaking, I don't know how to find a cross product between multiple lines (more than 2).

I tried using a geometric approach to go ahead:

given some triangular surfaces, i find the intersection line (blue crvs) between a sphere based in the common vertex of these triangles and the triangles itselves.

Once i have this surface I try to get the centre and connect it to the initial common vertex (violet crvs).

This line represents the most barycentrical line of this geometry.

The problems are:

1) Too heavy to calculate for hundreds of vertex, as I need to work with surfaces

2) The centre is not so precise, because of the optimisation that GH does in these super freeform surfaces.

How to get the centre using only the edges?

Thank you!

Attachments:

Unit Vector.gh, 59 KB

Replies to This Discussion

Permalink Reply by peter fotiadis on January 9, 2015 at 2:11pm

Have faith and stay cool: the mother of all definitions (*) is under an extensive secret test program that guaranties despair and exhilaration in equal measures :

(*) only 3,56 divisions by zero, only 7,78 infinitive loops: what's not to like?