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Goldberg polyhedra are duals of geodesic spheres (ie, the edges of the Goldbery polyhedron connect the centers of the geodesic triangles). 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 16 equilateral triangles. These vertices are projected to the circumscribing sphere, where they are made the vertices of the triangular faces of the geodesic sphere. 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[4,4], where 4+ 4 is the number of steps from one pentagon to the next: take 4 steps from one pentagon, then turn left 60 degrees, and go 4 more steps to reach the next pentagon -- see Wikipedia), This wireframe model of G[4,4] has 482 faces, 960 vertices, and 1,440 edges. A soccer ball is G[1,1]. Can you find the pentagons in this model?