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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.
The Tango España by Adidas was the official match ball of 1982 FIFA World Cup held in Spain. The Tango España had improved water resistant qualities through its rubberized seams. These proved to be not very durable and resulted in the ball having to be changed several times during some games.
The Telstar was the first World Cup ball to use the now-familiar truncated icosahedron for its design, consisting of 12 black pentagonal and 20 white hexagonal panels. [ 2 ] [ 3 ] The 32-panel configuration had been introduced in 1962 by Select Sport , [ 4 ] [ 5 ] and was also used in the official logo for the 1970 World Cup. [ 6 ]
Questra is the name given to a family of footballs originally produced by Adidas for major international events in the mid-1990s. Named after "the quest for the stars," successive versions of the ball were produced for the 1996 Olympic tournament and Euro 1996. The Questra was also the official ball of Spanish La Liga. [1]
The Roteiro balls had inscribed the name of the teams playing, the date, the name of the stadium, and the longitude and latitude of the center spot of the pitch. It was the first ball to feature an innovative thermal-bonding production technique developed by Adidas. Adidas supplied 2,300 balls for games and training sessions for the tournament.
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A problem set, sometimes shortened as pset, [1] is a teaching tool used by many universities. Most courses in physics, math, engineering, chemistry, and computer science will give problem sets on a regular basis. [2] They can also appear in other subjects, such as economics.