{"id":378,"date":"2018-06-16T11:08:44","date_gmt":"2018-06-16T09:08:44","guid":{"rendered":"https:\/\/blogs.futura-sciences.com\/lehning\/?p=378"},"modified":"2018-07-19T18:25:48","modified_gmt":"2018-07-19T16:25:48","slug":"la-geometrie-du-ballon-de-football-source-deffets-surprenants","status":"publish","type":"post","link":"https:\/\/blogs.futura-sciences.com\/lehning\/2018\/06\/16\/la-geometrie-du-ballon-de-football-source-deffets-surprenants\/","title":{"rendered":"La g\u00e9om\u00e9trie du ballon de football, source d&#8217;effets surprenants"},"content":{"rendered":"<p>Un ballon de football n\u2019est pas une sph\u00e8re parfaite, mais un assemblage de pi\u00e8ces de cuir de formes polygonales. Le gonflage le fait alors ressembler \u00e0 une sph\u00e8re. Pour \u00eatre une bonne approximation de la sph\u00e8re, <em>a priori<\/em> l\u2019id\u00e9al aurait \u00e9t\u00e9 d\u2019utiliser un poly\u00e8dre r\u00e9gulier au plus grand nombre de faces possible, c\u2019est-\u00e0-dire l\u2019icosa\u00e8dre qui a vingt faces.<\/p>\n<figure id=\"attachment_381\" aria-describedby=\"caption-attachment-381\" style=\"width: 274px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-381 size-medium\" src=\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/06\/IHL175-274x300.jpg\" alt=\"\" width=\"274\" height=\"300\" srcset=\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/06\/IHL175-274x300.jpg 274w, https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/06\/IHL175-768x841.jpg 768w, https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/06\/IHL175-935x1024.jpg 935w, https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/06\/IHL175.jpg 1256w\" sizes=\"auto, (max-width: 274px) 100vw, 274px\" \/><figcaption id=\"caption-attachment-381\" class=\"wp-caption-text\">L&#8217;icosa\u00e8dre r\u00e9gulier ne peut servir de mod\u00e8le pour un ballon de football en raison de ses nombreuses pointes. \u00a9 Herv\u00e9 Lehning<\/figcaption><\/figure>\n<h2>Couper les pointes de l&#8217;icosa\u00e8dre<\/h2>\n<p>Le plus proche d\u2019une sph\u00e8re est l\u2019icosa\u00e8dre. Malheureusement, m\u00eame gonfl\u00e9, ses pointes rendraient ses rebonds al\u00e9atoires. L\u2019id\u00e9e est de couper les pointes g\u00eanantes. On obtient l\u2019icosa\u00e8dre tronqu\u00e9. Il est form\u00e9 de 12 pentagones et 20 hexagones.<\/p>\n<figure id=\"attachment_384\" aria-describedby=\"caption-attachment-384\" style=\"width: 274px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-384 size-medium\" src=\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/06\/IHL176-274x300.jpg\" alt=\"\" width=\"274\" height=\"300\" srcset=\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/06\/IHL176-274x300.jpg 274w, https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/06\/IHL176-768x841.jpg 768w, https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/06\/IHL176-935x1024.jpg 935w, https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/06\/IHL176.jpg 1256w\" sizes=\"auto, (max-width: 274px) 100vw, 274px\" \/><figcaption id=\"caption-attachment-384\" class=\"wp-caption-text\">En route vers l\u2019icosa\u00e8dre tronqu\u00e9. On voit sur cette figure que chaque pointe engendre un pentagone et chaque triangle, un hexagone. \u00a9 Herv\u00e9 Lehning<\/figcaption><\/figure>\n<h2>G\u00e9om\u00e9trie du ballon de football<\/h2>\n<p>Nous obtenons ainsi le ballon de football. C\u2019est ce profil anguleux qui lui permet d\u2019accrocher l\u2019air, quel que soit son degr\u00e9 d\u2019usure et quelles que soient les conditions climatiques.<\/p>\n<figure id=\"attachment_386\" aria-describedby=\"caption-attachment-386\" style=\"width: 300px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-386 size-medium\" src=\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/06\/IHL177-300x300.jpg\" alt=\"\" width=\"300\" height=\"300\" srcset=\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/06\/IHL177-300x300.jpg 300w, https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/06\/IHL177-150x150.jpg 150w, https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/06\/IHL177-768x768.jpg 768w, https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/06\/IHL177-1024x1024.jpg 1024w, https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/06\/IHL177.jpg 1185w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><figcaption id=\"caption-attachment-386\" class=\"wp-caption-text\">Un ballon de football n\u2019est pas une sph\u00e8re parfaite, ce qui accentue les effets. \u00a9 Herv\u00e9 Lehning<\/figcaption><\/figure>\n<p>Lors d\u2019un coup franc, un tir bross\u00e9 peut contourner le mur des d\u00e9fenseurs adverses pour revenir vers le but\u00a0! Cependant, l\u2019effet d\u00e9pend de la r\u00e9sistance de l\u2019atmosph\u00e8re. Lors du Mondial 1986, au Mexique, \u00e0 2600 m\u00e8tres d\u2019altitude, Michel Platini a rat\u00e9 un coup franc d\u00e9cisif, sans doute parce qu\u2019il n\u2019avait pas tenu compte de cette diff\u00e9rence.<\/p>\n<figure id=\"attachment_387\" aria-describedby=\"caption-attachment-387\" style=\"width: 300px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-387 size-medium\" src=\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/06\/IHL178-300x289.jpg\" alt=\"\" width=\"300\" height=\"289\" srcset=\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/06\/IHL178-300x289.jpg 300w, https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/06\/IHL178-768x741.jpg 768w, https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/06\/IHL178-1024x988.jpg 1024w, https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/06\/IHL178.jpg 1465w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><figcaption id=\"caption-attachment-387\" class=\"wp-caption-text\">Principe pour r\u00e9aliser un tir bross\u00e9. La rotation du ballon se fait dans un axe vertical \u2026 et d\u00e9pend de la pression atmosph\u00e9rique ! \u00a9 Herv\u00e9 Lehning<\/figcaption><\/figure>\n<!-- AddThis Advanced Settings generic via filter on the_content --><!-- AddThis Share Buttons generic via filter on the_content -->","protected":false},"excerpt":{"rendered":"<p>Un ballon de football n\u2019est pas une sph\u00e8re parfaite, mais un assemblage de pi\u00e8ces de cuir de formes polygonales. Le gonflage le fait alors ressembler \u00e0 une sph\u00e8re. Pour \u00eatre une bonne approximation de la sph\u00e8re, a priori l\u2019id\u00e9al aurait \u00e9t\u00e9 d\u2019utiliser un poly\u00e8dre r\u00e9gulier au plus grand nombre de faces possible, c\u2019est-\u00e0-dire l\u2019icosa\u00e8dre qui &hellip; <a href=\"https:\/\/blogs.futura-sciences.com\/lehning\/2018\/06\/16\/la-geometrie-du-ballon-de-football-source-deffets-surprenants\/\" class=\"more-link\">Continuer la lecture de <span class=\"screen-reader-text\">La g\u00e9om\u00e9trie du ballon de football, source d&#8217;effets surprenants<\/span>  <span class=\"meta-nav\">&rarr;<\/span><\/a><!-- AddThis Advanced Settings generic via filter on get_the_excerpt --><!-- AddThis Share Buttons generic via filter on get_the_excerpt --><\/p>\n","protected":false},"author":12,"featured_media":379,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"categories":[29,152],"tags":[155,157,156,154,153],"class_list":["post-378","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-maths-2","category-sport","tag-ballon","tag-coupe-du-monde-de-football","tag-effets","tag-football","tag-sport"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v24.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>La g\u00e9om\u00e9trie du ballon de football, source d&#039;effets surprenants, par Herv\u00e9 Lehning<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/blogs.futura-sciences.com\/lehning\/2018\/06\/16\/la-geometrie-du-ballon-de-football-source-deffets-surprenants\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"La g\u00e9om\u00e9trie du ballon de football, source d&#039;effets surprenants, par Herv\u00e9 Lehning\" \/>\n<meta property=\"og:description\" content=\"Un ballon de football n\u2019est pas une sph\u00e8re parfaite, mais un assemblage de pi\u00e8ces de cuir de formes polygonales. 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Pour \u00eatre une bonne approximation de la sph\u00e8re, a priori l\u2019id\u00e9al aurait \u00e9t\u00e9 d\u2019utiliser un poly\u00e8dre r\u00e9gulier au plus grand nombre de faces possible, c\u2019est-\u00e0-dire l\u2019icosa\u00e8dre qui &hellip; Continuer la lecture de La g\u00e9om\u00e9trie du ballon de football, source d&#8217;effets surprenants &rarr;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/blogs.futura-sciences.com\/lehning\/2018\/06\/16\/la-geometrie-du-ballon-de-football-source-deffets-surprenants\/\" \/>\n<meta property=\"og:site_name\" content=\"MATH&#039;MONDE, le blog d&#039;Herv\u00e9 LEHNING, agr\u00e9g\u00e9 de math\u00e9matiques\" \/>\n<meta property=\"article:published_time\" content=\"2018-06-16T09:08:44+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2018-07-19T16:25:48+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/06\/ballonfoot.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"624\" \/>\n\t<meta property=\"og:image:height\" content=\"416\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u00c9crit par\" \/>\n\t<meta name=\"twitter:data1\" content=\"\" \/>\n\t<meta name=\"twitter:label2\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2018\/06\/16\/la-geometrie-du-ballon-de-football-source-deffets-surprenants\/\",\"url\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2018\/06\/16\/la-geometrie-du-ballon-de-football-source-deffets-surprenants\/\",\"name\":\"La g\u00e9om\u00e9trie du ballon de football, source d'effets surprenants, par Herv\u00e9 Lehning\",\"isPartOf\":{\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2018\/06\/16\/la-geometrie-du-ballon-de-football-source-deffets-surprenants\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2018\/06\/16\/la-geometrie-du-ballon-de-football-source-deffets-surprenants\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/06\/ballonfoot.jpg\",\"datePublished\":\"2018-06-16T09:08:44+00:00\",\"dateModified\":\"2018-07-19T16:25:48+00:00\",\"author\":{\"@id\":\"\"},\"breadcrumb\":{\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2018\/06\/16\/la-geometrie-du-ballon-de-football-source-deffets-surprenants\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/blogs.futura-sciences.com\/lehning\/2018\/06\/16\/la-geometrie-du-ballon-de-football-source-deffets-surprenants\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2018\/06\/16\/la-geometrie-du-ballon-de-football-source-deffets-surprenants\/#primaryimage\",\"url\":\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/06\/ballonfoot.jpg\",\"contentUrl\":\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/06\/ballonfoot.jpg\",\"width\":624,\"height\":416},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2018\/06\/16\/la-geometrie-du-ballon-de-football-source-deffets-surprenants\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Accueil\",\"item\":\"https:\/\/blogs.futura-sciences.com\/lehning\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"La g\u00e9om\u00e9trie du ballon de football, source d&#8217;effets surprenants\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/#website\",\"url\":\"https:\/\/blogs.futura-sciences.com\/lehning\/\",\"name\":\"MATH&#039;MONDE, le blog d&#039;Herv\u00e9 LEHNING, agr\u00e9g\u00e9 de math\u00e9matiques\",\"description\":\"Comment comprendre le monde moderne sans culture math\u00e9matique ? 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