How to Cross parametric Ellipse on curved surface in planar rectangles?

We trying to build on curved surface the cross-section of ellipses (with more regular geometry as possible) that intersect each one in another. We used project along so the geometry will be planar on surface, this because when we will realise the project the weight forces should be more parallel as possible to elipse cute (when we will do the regions slits command). I try not to internalize Data so you can understand what is going on

The installed plugins are kangaroo, weaverbird and lunchbox. Hope that I respected all rules Superfice.3dm (787.7 KB) (139.9 KB)