Disnub icosahedron (near-miss)

This non-convex isogonal polyhedron is a faceting of a slightly deformed Inverted snub dodecadodecahedron.

It has 4 different edge lengths: 1, ~1.01609, ~1.04382, ~1.04658.

Faces:Its dual is an isohedral octagrammic hexecontahedron