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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 pentag
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.
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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 ) .
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.
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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]
Adidas unveiled the Brazuca at a launch event on 3 December 2013, two days ahead of the traditional unveiling of the World Cup match ball at the draw of the group stages of the World Cup Final. [2] The launch event took place in Rio de Janeiro at Parque Lage and featured a 3D light projection, which revealed the Brazuca to everyone in attendance.