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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.

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that is indeed a delightful realisation! akin to when I noticed that a cube and an octahedron both had a cross section that was a regular hexagon.

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.

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