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.