truncated icosahedron


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truncated icosahedron

[¦trəŋ‚kād·əd ‚ī¦käs·ə′hē·drən]
(mathematics)
An Archimedean solid with 32 faces (20 regular hexagons and 12 regular pentagons) and 60 vertices, a shape used in the construction of soccer balls.
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Munari and his work served as a filter through which to (re) discover the performative furniture of artist and designer Martino Gamper (based in turn on works by Gila Ponti); the wall drawings, as beautiful as Japanese wallpaper, by Bruno Persat, which result from a series of arbitrated penalties (in which the ball, replaced by a truncated icosahedron, is projected onto a wall covered in charcoal); or a fragment of Mark Geffriaud's imaginary house, for which he produces one of the architectural elements at each of his exhibitions (here, a stone step).
We use the fact that a football is a spherical version of the truncated icosahedron, in which an icosahedron with 20 triangular faces has its 12 vertices cut off (truncated) to create the pentagonal faces.
In mathematics, the classic football shape is called a truncated icosahedron.
For example, the truncated icosahedron, which is the polyhedron giving the structure of the soccer ball, has two hexagons and a pentagon meeting at each vertex.
One example is the truncated icosahedron, familiar as the pattern on a soccer ball, which consists of 12 pentagons and 20 hexagons.
In 1985, researchers in England and Houston suggested that vaporized carbon atoms from laser-blasted graphite might rearrange into exceptionally stable cage structures -- most notably a 20-sided truncated icosahedron composed of exactly 60 carbon atoms (SN: 1/28/89, p.
officially called a truncated icosahedron, has been joined by proposed structures for a slew of fullerenes with different numbers of carbon atoms.
The structure that seems to fit best is a truncated icosahedron, made up of 12 pentagons and 20 hexagons and showing 60 vertices.

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