Moritz Seebode (Pentagonal icositetrahedron)

Untitled, rubberized cardstock

[24 F, 60 E, 38 V] This polyhedron is one of 13 shapes known as the Catalan solids: polyhedra with identical, interchangeable faces that bear a special relationship with the Archimedean solids called “duality.” This particular one is the dual of the snub cube, meaning that it has one vertex for each face of the snub cube (and vice versa), with two vertices connected by an edge exactly when the corresponding faces of the snub cube share an edge.