This is a stellation of a slightly-modified version of the second polyhedron shown in the last post here. It includes twelve regular pentadecagons, thirty rectangles, and sixty irregular pentagons, grouped in twenty sets of three pentagons each.

Software credit: please visit http://www.software3d.com/Stella.php if you’d like to try a free trial download of Stella 4d, the program I use to make these virtual models.