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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.
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.
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 ) .
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This image or media file is available on the Wikimedia Commons as File:Soccer ball.svg, where categories and captions may be viewed. While the license of this file may be compliant with the Wikimedia Commons, an editor has requested that the local copy be kept too.
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