In geometry, the truncated icosahedron is a polyhedron that can be constructed by truncating all of the regular icosahedron's vertices. Intuitively, it may be regarded as footballs (or soccer balls) that are typically patterned with … See more

According to Steinitz's theorem, the skeleton of a truncated icosahedron, like that of any convex polyhedron, can be represented as a See more

• Chamfered dodecahedron See more

• Weisstein, Eric W., "Truncated icosahedron" ("Archimedean solid") at MathWorld.
• Klitzing, Richard. "3D convex uniform polyhedra x3x5o - ti".
• Editable printable net of a truncated icosahedron with … See more

The truncated icosahedron can be constructed from a regular icosahedron by cutting off all of its vertices, known as truncation. … See more

The surface area $${\displaystyle A}$$ and the volume $${\displaystyle V}$$ of the truncated icosahedron of edge length $${\displaystyle a}$$ are:
The See more

The balls used in association football and team handball are perhaps the best-known example of a spherical polyhedron analog to the truncated icosahedron, found in everyday life. The … See more