Goldberg Polyhedron 1

Goldberg polyhedra are duals of geodesic spheres. This one was made by truncating at the 1/3 point of each edge the vertices of a geodesic sphere formed by projecting the vertices of a subdivided icosahedron, each of whose faces have been divided into 9 equilateral triangles.These vertices were projected to the circumscribing sphere, then made the vertices of the triangular faces of the geodesic sphere. The edges of the of Goldbery polyhedron connect the centers of these triangles. The Goldberg polyhedra all have 12 regular pentagonal faces, located at the icosahedral vertices. The rest of the faces are (usually irregular) hexagons. This one, being G[3,3] where 3,3 is the number of steps from one pentagon to the next. (Take 3 steps from one pentagon, then turn left 60 degrees, and go 3 more steps to reach the next pentagon -- see Wikipedia), This wireframe model of G[3,3] has 272 faces, 540 vertices, and 810 edges.A soccer ball is G[1,1]. Can you find the pentagons?