The Topology and Combinatorics of Soccer Balls

Dieter Kotschick

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The Topology and Combinatorics of Soccer Balls

机译：足球的拓扑和组合

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With the arrival of the quadrennial soccer World Cup this summer, more than a billion people around the world are finding their television and computer screens filled with depictions of soccer balls. In Germany, where the World Cup matches are being played, soccer balls are turning up on all kinds of merchandise, much of it having nothing to do with soccer. Although a soccer ball can be put together in many different ways, there is one design so ubiquitous that it has become iconic. This standard soccer ball is stitched or glued together from 32 polygons, 12 of them five-sided and 20 six-sided, arranged in such a way that every pentagon is surrounded by hexagons.

机译：随着今年夏天的四年一度的世界杯足球赛的到来，全世界有超过十亿人在电视和计算机屏幕上看到充满足球的插图。在参加世界杯比赛的德国，足球正涌现出各种商品，其中大部分与足球无关。尽管足球可以用许多不同的方式组合在一起，但是有一种设计无处不在，以至于成为了标志性的设计。这个标准的足球是由32个多边形缝制或粘在一起的，其中12个为五边形和20个为六边形，排列方式是每个五边形都被六边形包围。

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来源
《American Scientist》 |2006年第4期|p.350-357|共8页
作者
Dieter Kotschick;
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作者单位

Mathematisches Institut, LMU Muenchen, There-sienstrasse 39, 80333 Muenchen, Germany;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类自然科学总论;
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3. Differences in Soccer Heading Injuries between Male and Female Soccer Players May Be Due to Equal Ball Weight Causing Differences in Relative Impacts [J] . Pedersen Arve Vorland, Stalsberg Ragna Radiology . 2019,第2期

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4. Online estimation of arriving time for robot to soccer ball in RoboCup Soccer using PSO-SVR [C] . Deng Mingcong, Matsumoto Naoyuki, Kitayama Michinobu, International Conference on Advanced Mechatronic Systems . 2014

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5. The effects on soccer dribbling skills when training with two different sized soccer balls. [D] . Miller, Karen S. 2012

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6. Development of Body Composition Hormone Profile Physical Fitness General Perceptual Motor Skills Soccer Skills and On-The-Ball Performance in Soccer-Specific Laboratory Test Among Adolescent Soccer Players [O] . Tomi Vänttinen, *, Minna Blomqvist, 2010

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机译：用两个不同尺寸的足球热身时对足球通过技能的影响

The Topology and Combinatorics of Soccer Balls

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