Volumetric Octree

Hello everyone,
a couple of days ago I was trying to divide a rectangle with a quadtree logic, iterating the division for every rectangle with a curve passing through it.

http://www.grasshopper3d.com/forum/topics/rectangular-quadtree?xg_s...

Now I'm trying to divide a parallelogram following an octree logic. I want to divide the solid only if a curve is passing through it.
Unable to obtain solids this way (I really can't find a way to obtain solids by trimming bigger solids), I've obtained 6 different grids using the past rule of dividing rectangles, one for each face.

Is there a method to combine these grids and obtain a single extrusion that in some way combine the information I get from these grids?

Thanks :)