That's just a truncated icosahedron (a soccer ball) with the hexagons and pentagons filled with arbitrary tessellations. I might wonder why those particular tes

That's just a truncated icosahedron (a soccer ball) with the hexagons and pentagons filled with arbitrary tessellations. I might wonder why those particular tessellations were chosen out of all the possibilities. The dual is more interesting to look at since it hides the underlying truncated icosahedron.