en.wikipedia.org/wiki/Truncated_icosahedron

In geometry, the truncated icosahedron is an Archimedean solid, one of 13 convex isogonal ... This geometry is associated with footballs (soccer balls) typically patterned with white hexagons and black pentagons. Geodesic domes such as ...

mathworld.wolfram.com/TruncatedIcosahedron.html

It is the shape used in the construction of soccer balls, and it was also the configuration of the ... Chung, F. and Sternberg, S. "Mathematics and the Buckyball.

www.hoist-point.com/soccerball.htm

The classic soccer ball is made of the collection of leather pieces of 12 ... draw the ball, but knowing where exactly the points that define the pentagons (and the ...

cs.brown.edu/courses/csci1950-h/soccerball_topology.pdf

The word has two completely different mathematical meanings.) Examined from the perspec- tive of graph theory, the standard soccer ball has three important ...

www.sciencenews.org/article/bending-soccer-ball

Jul 4, 2006 ... Mathematics suggests a variety of alternative designs for soccer balls.

webmaths.wordpress.com/2009/03/14/soccerball-maths

Mar 14, 2009 ... A Maths teacher recently asked me: "What shapes make up a soccer ball?". The traditional design of a soccer ball is based on a solid figure ...

mathforum.org/library/drmath/view/55049.html

I'm looking for ideas for a geometry and soccer bulletin board.

bedtimemath.org/fun-math-soccer-ball

Oct 19, 2014 ... Have you ever wondered how many shapes a soccer ball has on it? It has 12 pentagons and 20 hexagons, and no pentagons touch each ...

www.mathaware.org/mam/2010/essays/ChartierSoccer.pdf

Group and Fluent Europe Ltd., the shape and surface of a soccer ball, as well as ... Mathematically, the governing equations in such a simulation are the Navier-.

math.stackexchange.com/questions/18340/why-are-there-12-pentagons-and-20-hexagons-on-a-soccer-ball

(One of these, the buckyball, looks just like a soccer ball.) ... Together these equations give f5=12 and V−2f6=20; in other words, any fullerene must ... In mathematics what is usually meant by a fullerene is a 3-valent convex ...