The best replacement for vertices is edges.

The best alternatives to vertices are rated as following:
★★★★★  edges
★★★★  vertexes
★★★  sides
★★  corners
★★  shape with 7 vertices
★★  vertices
★★  nodes
★★  vertex
★★  shape with 3 vertices
★  7 vertices
★  angles

Your alternative for vertices is not listed? Suggest!
Speaking about vertices, one probably shouldn't forget about triangles.

Other search terms related to vertices and their ratings are:
★★★★★ triangles
★★★★★ 4 sides
★★★★ 3d shapes
★ 4 of solid figures
You have in mind a companion for vertices and it is not yet here? Propose!



Google Trends

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