Related article

Answers to questions in section Drawing the Football - The Truncated Icosahedron

1. Number of corners and pentagons is 12.
2. The first and second picture only have hexagons while the last has squares and octagons but no pentagons or hexagons. None of these would be very good on the playing field as they are flat, not round!!

References

Leonardo - The First Scientist

Michael White, Abacus, 2000. ISBN 0 349 11274 6

Perfect Symmetry

Jim Baggott, Oxford, 1994. ISBN 0 19 855790 6

Shapes, Space and Symmetry

Alan Holden, Dover, 1971. ISBN 0 486 26851 9

Platonic and Archimedean Solids

Dawud Abu-Asiya, Wooden Books, 1998. ISBN 1 902418 03 4