Problem with aligning geometries to rotated surfaces

So I’ve got this geometry (picture 1) made out of equilateral triangles (meshes), and i want this inflated triangles (picture 2) to align their base to the meshes. But I have no idea how to do it…
fyi bases of the inflated triangles are identical to the meshes.


for triangles use triangle mapping!

create outlines of base and target geometry…

image

OMG, it works great. Thank you soo much