This is the dual of the polyhedron from the previous post, although without any faces rendered invisible, as was the case with that one. I find it strongly reminiscent of the rhombic triacontahedron, but it has twice as many rhombi (sixty), as well as twenty triangles. Unlike the rhombic triacontahedron, this figure is chiral.

I can’t think of an appropriate name for this, so, if anyone has one, please leave your suggestion in a comment.

Created with Stella 4d (site to try it: http://www.software3d.com/stella.php).