For 10, 20, 100, 200, and 50 antipodal points, ran ConnectPoints script on the points.
Depending upont the tolerance, from 0.4 to 1.5, produced a convex hull of edges, +/-, with sometimes some
extra inner lines. The more points, the lower the tolerance should be...

Sometimes planar does one face. Need an edgewalker script. :-)