2D Voronoi Curves

Hello All,

I have created 2D voronoi curves and

a) trimmed the curves with site boundary curves

b) projected voronoi curves onto a vaulted roof - a Brep.

i'm facing few problems

1)How do i merge or join site boundary curves with voronoi curves so that voronoi curves at the edges becomes a closed polygon?

2)I want to create a line between voronoi curve control points and voronoi cell centroid points, such that each 2D voronoi cell is broken down into a sets of triangles. Please refer attached sketch.

3) Then How do i project voronoi curves along with triangl curves onto a vaulted roof?.

4) lastly, i want to give some thickness to those curve. i.e. the curves basically are structural beams of the roof. with my definition pipe command does not work very well i.e. pipes intersect and crossover at each vertices, which is not my intention.

attached is a sketch and my definition.

Can any1 help me with any of the 4 problems?

Thank you very much

AB