sentences:  The most familiar spherical polyhedron is the soccer ball (outside the United States, Canada, and Australia, a football), thought of as a spherical truncated icosahedron.The next most popular spherical polyhedron is the beach ball, thought of as a hosohedron.Some "improper" polyhedra, such as the hosohedra and their duals the dihedra, exist as spherical polyhedra but have no flat-faced analogue.