👉 A pyritohedron is a polyhedron composed of one or more pyritides (or pyritoid) spheres, each with 4 vertices. A pyritide sphere has four vertices connected by edges, and each vertex in the same plane is connected to three other vertices on an edge. These spheres can be arranged in any way you want, but they must have a regular pentagon as their base (which is also called a regular polyhedron). The 4 vertices