Pentakis Dodecahedron, Stardream Mars 105# cover paper
[60 F, 90 E, 32 V] If you replace every meeting spot of three panels of a soccer ball (with its standard pentagon-hexagon panels) with a flat triangle, you get this shape. That makes it one of the Catalan solids, geometric “duals” to the highly symmetric Archimedean solids, many of which can also be found in Polyplane.