Essentially, I am trying to find the specific name of the convex polyhedron or icosahedron shape in the gif below. The 3d software (Blender) reports 92 vertices, 180 faces and 540 edges, although there are 270 unique edges. Every face is a triangle, composite surface patterns include a number of hexagons and pentagons.
The convex shape is of
icosahedron 3v origin, as the pentagon frequency (or edge quantity from one pentagon to another) is 3 edges (see link). However, the frequency (and
3v) naming scheme seems to be non-standard.
snub dodecahedron matches the convex shape specified (see gif below) very closely, except that the regular pentagons (within the snub dodecahedron) have a central vertex, thus increased vertices, edges and triangle faces.
pentakis dodecahedron matches the
icosahedron 2v. The
icosahedron is the 1v variant. Perhaps there's a pattern in naming convention I'm missing to help discover the name of the shape in question.