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 bl...

www.reference.com/sports-active-lifestyle/numbers-hexagons-pentagons-official-soccer-ball-6bdef0478e924123

An official soccer ball typically consists of 20 white hexagons and 12 black
pentagons tightly stitched together for a puzzle-like fit. Manufacturers began
using ...

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.hoist-point.com/soccerball.htm

The classic soccer ball is made of the collection of leather pieces of 12 ... The
pentagons and hexagons border each other, and therefore have the same side
sizes. ... The total number of such pentagons is 12, and each is centered at one of
12 ...

www.soccerballworld.com/Historypg2.htm

The shape is a series of hexagons, pentagons and triangles, which can be fitted
... The first "official" FIFA world cup soccer ball was the Adidas Telstar used in the
... Many companies have recently come out with new high tech materials and ...

www.ask.com/youtube?q=What Is the Number of Hexagons and Pentagons on an Official Soccer Ball?&v=Nyo3TjKyu_c

May 13, 2014 ... Applying the Euler Characteristic to a soccer ball (football). ... +Paumonsu It
actually has another official name which I find cool; Gridiron :D ... It only proves
that, if you tile a sphere with pentagons and hexagons such that ...

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

... about soccer balls, the number of possible designs quickly multiplies ... An
official soccer ball, to be approved by ... pentagons and hexagons a soccer ball is
.

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

Jul 4, 2006 ... The official soccer ball for the 2006 World Cup is made from 14 ... is a new soccer
ball with twice as many pentagons and hexagons as before.

www.numberof.net/number-of-hexagons-and-pentagons-on-a-soccer-ball/

Apr 16, 2010 ... There are 20 hexagons and 12 pentagons that total 32 panels on an official size
soccer ball. The black pentagons are surrounded by the white ...

www.treehugger.com/sustainable-product-design/did-bucky-fuller-really-design-soccer-ball.html

Jun 20, 2014 ... From the get-go, it didn't make a lot of sense; the soccer ball is what ... and are
made of triangles, not hexagons and pentagons. ... A search of his official history
at the Buckminster Fuller Institute doesn't mention it either. Bucky designed many
wonderful things, but I don't think a soccer ball was one ...