The best replacement for edges is vertices.

The best alternatives to edges are rated as following:
★★★★★  vertices
★★★  corners
★  sides
★  faces
  vertices geometry
  boundaries

Your alternative for edges is not listed? Suggest!
Speaking about edges, one probably shouldn't forget about sew in.

Other search terms related to edges and their ratings are:
★★★★★ sew in
★★★★★ box braids
★★ braids
You have in mind a companion for edges and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of edges in all years. Click on graph for more.
edges
vertices
corners