Role playing games use an icosahedron as a twenty-sided die when making decisions and actions.
Image source: http://www.oceansiderevolution.com/EINSTEIN.HTM
In 1996, the Nobel Prize in Chemistry was awarded to three chemists for their discovery of a carbon molecule known as the "buckyball". The buckyball was named after the famed architect R.Buckminster Fuller whose unique structures called Geodesic Domes resembled soccer balls.
Mathematically, the buckball (and the soccer ball) is an Archimedean Solid called a "truncated icosahedron" - a polygon with 60 vertices and 32 faces, 12 of which are pentagons (5-sided objects) and 20 of which are hexagons (6-sided objects).
In 1999, buckyballs were found trapped inside a 4.6-billion-year-old meteorite that landed in Mexico three decades ago.