The yellow “triskelions” here are twenty in number, and are made of three irregular pentagons each. The red “lightning bolts” between them are thirty in number, and are made with two irregular quadrilaterals each.

I stumbled across this polyhedron by accident, while playing with different polyhedral transformations possible using Stella 4d: Polyhedron Navigator. You may try this software yourself at http://www.software3d.com/Stella.php as a free trial download, before deciding whether to purchase the fully-functioning version.