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3D model of a truncated icosahedron In geometry , the truncated icosahedron is a polyhedron that can be constructed by truncating all of the regular icosahedron 's vertices. Intuitively, it may be regarded as footballs (or soccer balls) that are typically patterned with white hexagons and black pentagons.
In geometry, the order-7 truncated triangular tiling, sometimes called the hyperbolic soccerball, [1] is a semiregular tiling of the hyperbolic plane. There are two hexagons and one heptagon on each vertex, forming a pattern similar to a conventional soccer ball (truncated icosahedron) with heptagons in place of pentagons.
The most familiar spherical polyhedron is the soccer ball, thought of as a spherical truncated icosahedron. The next most popular spherical polyhedron is the beach ball, thought of as a hosohedron. Some "improper" polyhedra, such as hosohedra and their duals, dihedra, exist as spherical polyhedra, but their flat-faced analogs are degenerate.
A football or soccer ball is the ball used in the sport of association football. The ball's spherical shape, as well as its size, weight, mass, and material composition, are specified by Law 2 of the Laws of the Game maintained by the International Football Association Board . [ 1 ]
The ball and all players are represented as circles on the plane of the field. Their position is restricted to the two dimensions of the plane. SimSpark, the platform on top of which the 3D simulation sub-league is built, was registered with SourceForge in 2004. [5] The platform itself is now well established [6] with ongoing development. [7]
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At first, BetOnline accepted bets on a handful of high school football games per year, the online gaming site’s brand manager, Dave Mason, told Yahoo Sports.
Drawing of a typical soccer ball. See image:Soccerball shade.svg for a shaded version. This file is from the Open Clip Art Library , which released it explicitly into the public domain ( see here ) .