I was going to comment pedantically that soccer balls were dodecahedrons not icosahedrons, but in reading the article, I came to realize that truncated icosahedrons are the same as truncated dodecahedrons.
This was such a delightful realization I felt the need to comment anyway.
Hmm. I'm sorry, but truncated dodecahedra are different from truncated icosahedra.
Truncated dodecahedra are made from twelve 10-gon and twenty triangular faces. Truncated icosahedra are made from twenty hexagonal and twelve pentagonal faces.
This was such a delightful realization I felt the need to comment anyway.