Orient Geometry by Edge and Srf-Normals

[Petras_Vestartas]

I think you are searching for vertex adjacency.

orient_geometry_from_point_to_edge_VertexAdjacency.gh (24.9 KB)

Or edge face adjacency:

orient_geometry_from_point_to_edge_EdgeFaceAdjacency.gh (47.6 KB)

First concept give info about vertices that are around nth vertex and other concept gives info about edge and its neighbour faces:

I used NGon for getting this info about mesh topology:

NGon