{"id":35193,"date":"2019-10-31T22:02:53","date_gmt":"2019-10-31T19:02:53","guid":{"rendered":"https:\/\/prohoster.info\/blog\/matematika-i-igra-set\/"},"modified":"2019-10-31T22:02:53","modified_gmt":"2019-10-31T19:02:53","slug":"matematika-i-igra-set","status":"publish","type":"post","link":"https:\/\/prohoster.info\/fr\/blog\/news\/matematika-i-igra-set","title":{"rendered":"Math\u00e9matiques et jeu \u00ab Set \u00bb","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p><img decoding=\"async\" alt=\"Math\u00e9matiques et jeu \u00ab Set \u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/310b9e73ac15cf3185a7e060ad36dca8.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Celui qui trouve ici un \u00ab set \u00bb recevra un chocolat de ma part.<\/i><\/p>\n<p>Le set est un jeu g\u00e9nial auquel nous avons jou\u00e9 il y a environ 5 ans. Cris, hurlements, prise de photos des combinaisons. <\/p>\n<p>Les r\u00e8gles du jeu stipulent qu'il a \u00e9t\u00e9 invent\u00e9 en 1991 par la g\u00e9n\u00e9ticienne Marsha Falco, qui prenait des notes lors de recherches sur l'\u00e9pilepsie chez les chiens de berger allemands en 1974. Pour ceux dont le cerveau est assez \u00e9puis\u00e9 par les math\u00e9matiques, il surgit apr\u00e8s un certain temps une suspicion qu'il y a l\u00e0 des \u00e9chos de planim\u00e9trie et de trac\u00e9 de droites \u00e0 travers des points. (Pour deux cartes donn\u00e9es, il existe une et une seule carte qui forme un set avec elles.)<br \/>\n<noindex><a rel=\"nofollow\" name=\"habracut\"><\/a><\/noindex><br \/>\n<img decoding=\"async\" alt=\"Math\u00e9matiques et jeu \u00ab Set \u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/33cc906d4936e3fa25238ba28c6fcfe7.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Marsha Falco semble demander : \u00ab Alors, tu n'as pas trouv\u00e9 le \u00ab set \u00bb ? \u00bb<\/i><\/p>\n<h3>Rappelons les r\u00e8gles<\/h3>\n<p>\n<img decoding=\"async\" alt=\"Math\u00e9matiques et jeu \u00ab Set \u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/31a494ebd8dbccd27454d46d3c0e3ec8.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\nLe set est un jeu de cartes. Chaque carte a quatre param\u00e8tres, chacun pouvant prendre trois valeurs (au total 3 x 3 x 3 x 3 = 81 cartes). <\/p>\n<p><img decoding=\"async\" alt=\"Math\u00e9matiques et jeu \u00ab Set \u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/75978b83104a01c548f251065470af2a.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nLes types et valeurs des param\u00e8tres sont :<\/p>\n<ul>\n<li>forme ::= ellipse | losange | \u00ab spaghettis \u00bb<\/li>\n<li>couleur ::= rouge | vert | violet<\/li>\n<li>remplissage ::= blanc | ray\u00e9 | plein<\/li>\n<li>quantit\u00e9 ::= 1 | 2 | 3<\/li>\n<\/ul>\n<p>\n<b>Objectif du jeu<\/b> est de trouver des combinaisons sp\u00e9ciales de trois cartes. Trois cartes sont appel\u00e9es \u00ab set \u00bb si pour chacun des quatre attributs les cartes sont soit toutes identiques, soit <i>tout<\/i> toutes diff\u00e9rentes.<\/p>\n<p><img decoding=\"async\" alt=\"Math\u00e9matiques et jeu \u00ab Set \u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/004f2a2bdc76f6952c078c5f51415484.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nEn d'autres termes, on peut dire que trois cartes ne formeront pas un set si deux cartes ont une m\u00eame valeur pour un param\u00e8tre, tandis que la troisi\u00e8me en a une diff\u00e9rente. On peut voir que pour n'importe quelles deux cartes, il y aura toujours une troisi\u00e8me (et une seule) avec laquelle elles composeront un set.<\/p>\n<p><b>D\u00e9roulement du jeu :<\/b> le meneur de jeu place 12 cartes sur la table. Quand quelqu'un trouve un set, il crie \u00ab Set ! \u00bb et prend ensuite tranquillement les cartes qui composent le set. Si cependant, il n'y a pas de set parmi les cartes expos\u00e9es (cela semble souvent \u00eatre le cas), le meneur de jeu place trois cartes suppl\u00e9mentaires.<\/p>\n<p>Le nombre maximum de cartes sans set est de 20. Le tour continue jusqu'\u00e0 ce que la pioche soit \u00e9puis\u00e9e. Gagne celui qui a constitu\u00e9 le plus de sets.<\/p>\n<p>Des math\u00e9maticiens se sont pench\u00e9s sur la question et ont propos\u00e9 une combinaison de 20 cartes. Ceux qui se sentent comme Chuck Norris peuvent oublier cette image et essayer de constituer un \u00ab solitaire \u00bb sans set par eux-m\u00eames.<br \/>\nOu v\u00e9rifier s'il n'y a tout de m\u00eame pas un \u00ab set \u00bb ici ?<\/p>\n<h3>20 cartes sans set<\/h3>\n<p>\n<img decoding=\"async\" alt=\"Math\u00e9matiques et jeu \u00ab Set \u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/0e939d2d5ac475941ac6cc798d99ec5f.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Il est facile de v\u00e9rifier qu'il n'y a pas de \u00ab set \u00bb par couleur.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Math\u00e9matiques et jeu \u00ab Set \u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/914b852fe424faf4bc06230d8e110b8d.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Ces m\u00eames cartes, mais l'agencement montre qu'il n'y a pas de sets selon le param\u00e8tre \u00ab remplissage \u00bb.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Math\u00e9matiques et jeu \u00ab Set \u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/70cc65fab552c5215ce9c6d5342d9bc9.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Par quantit\u00e9.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Math\u00e9matiques et jeu \u00ab Set \u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/548664a37ac483a166b0f33f8bdd941d.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Par forme.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Math\u00e9matiques et jeu \u00ab Set \u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/418a8252c7d4d182087c3e667f4c491b.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Pas de set par diff\u00e9rence de caract\u00e9ristiques.<\/i><\/p>\n<h3>Un probl\u00e8me ouvert de math\u00e9matiques<\/h3>\n<p>\nCombien de cartes peut-on poser sans former un seul \u00ab set \u00bb ? Le crit\u00e8re a trois valeurs.<\/p>\n<p>avec 1 \u00ab crit\u00e8re \u00bb \u2014 2 cartes<br \/>\n2 crit\u00e8res \u2014 4 cartes<br \/>\n3 crit\u00e8res \u2014 9 cartes<br \/>\n4 crit\u00e8res \u2014 20 cartes<br \/>\n5 crit\u00e8res \u2014 45 cartes<br \/>\n6 crit\u00e8res \u2014 112 cartes<br \/>\n7 crit\u00e8res \u2014 <i>je ne sais pas<\/i><\/p>\n<p>Et pour \u00ab n\u2192\u221e \u00bb ?<\/p>\n<h3>Vid\u00e9o<\/h3>\n<p>\nCr\u00e9ateur du jeu :<\/p>\n<p><center><div class=\"youtube-placeholder\" data-id=\"7AeEr9QtDF0\" onclick=\"loadVideo(this)\">\r\n        <img decoding=\"async\" src=\"https:\/\/img.youtube.com\/vi\/7AeEr9QtDF0\/hqdefault.jpg\" alt=\"Lire la vid\u00e9o\" loading=\"lazy\" width=\"480\" height=\"360\" style=\"width:100%;height:auto;\">\r\n        <div class=\"play-button\"><\/div>\r\n    <\/div><\/center><br \/>\nAlexey Savvateev raconte brillamment le jeu de Set :<\/p>\n<p><center><div class=\"youtube-placeholder\" data-id=\"vwIO-kzvY5Q\" onclick=\"loadVideo(this)\">\r\n        <img decoding=\"async\" src=\"https:\/\/img.youtube.com\/vi\/vwIO-kzvY5Q\/hqdefault.jpg\" alt=\"Lire la vid\u00e9o\" loading=\"lazy\" width=\"480\" height=\"360\" style=\"width:100%;height:auto;\">\r\n        <div class=\"play-button\"><\/div>\r\n    <\/div><\/center><\/p>\n<h3>Articles<\/h3>\n<p><\/p>\n<ul>\n<li><noindex><a rel=\"nofollow\" href=\"http:\/\/pbg.cs.illinois.edu\/papers\/set.pdf\">SUR LA COMPLEXIT\u00c9 DU JEU DE SET<\/a><\/noindex><\/li>\n<li><noindex><a rel=\"nofollow\" href=\"https:\/\/henrikwarne.com\/2011\/09\/30\/set-probabilities-revisited\/\">Probabilit\u00e9s du SET revisit\u00e9es<\/a><\/noindex><\/li>\n<li><noindex><a rel=\"nofollow\" href=\"https:\/\/homepages.warwick.ac.uk\/staff\/D.Maclagan\/papers\/set.pdf\">LE JEU DE CARTES SET<\/a><\/noindex><\/li>\n<li><noindex><a rel=\"nofollow\" href=\"https:\/\/digitalcommons.ric.edu\/cgi\/viewcontent.cgi?referer=&amp;httpsredir=1&amp;article=1094&amp;context=honors_projects\">Les math\u00e9matiques du jeu de cartes Set<\/a><\/noindex><\/li>\n<\/ul>\n<p>Source : <a content=\"nofollow\" rel=\"nofollow\" href=\"https:\/\/habr.com\/ru\/post\/455634\/\">habr.com<\/a><\/p>","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"<p>\u041a\u0442\u043e \u043d\u0430\u0439\u0434\u0435\u0442 \u0442\u0443\u0442 \u00ab\u0441\u0435\u0442\u00bb, \u043f\u043e\u043b\u0443\u0447\u0438\u0442 \u043e\u0442 \u043c\u0435\u043d\u044f \u0448\u043e\u043a\u043e\u043b\u0430\u0434\u043a\u0443. \u0421\u0435\u0442 \u2014 \u0433\u0435\u043d\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u0438\u0433\u0440\u0430 \u0432 \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043c\u044b \u0440\u0443\u0431\u0438\u043b\u0438\u0441\u044c \u043b\u0435\u0442 5 \u043d\u0430\u0437\u0430\u0434. \u041a\u0440\u0438\u043a\u0438, \u0432\u043e\u043f\u043b\u0438, \u0444\u043e\u0442\u043e\u0433\u0440\u0430\u0444\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u043a\u043e\u043c\u0431\u0438\u043d\u0430\u0446\u0438\u0439. \u0412 \u043f\u0440\u0430\u0432\u0438\u043b\u0430\u0445 \u0438\u0433\u0440\u044b \u043d\u0430\u043f\u0438\u0441\u0430\u043d\u043e, \u0447\u0442\u043e \u0435\u0435 \u0438\u0437\u043e\u0431\u0440\u0435\u043b\u0430 \u0432 1991 \u0433\u043e\u0434\u0443 \u0433\u0435\u043d\u0435\u0442\u0438\u043a \u041c\u0430\u0440\u0448\u0430 \u0424\u0430\u043b\u043a\u043e (Marsha Falco), \u0434\u0435\u043b\u0430\u044f \u043f\u043e\u043c\u0435\u0442\u043a\u0438 \u0432\u043e \u0432\u0440\u0435\u043c\u044f \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u044f \u044d\u043f\u0438\u043b\u0435\u043f\u0441\u0438\u0438 \u0443 \u043d\u0435\u043c\u0435\u0446\u043a\u0438\u0445 \u043e\u0432\u0447\u0430\u0440\u043e\u043a \u0432 1974 \u0433\u043e\u0434\u0443. \u0414\u043b\u044f \u0442\u0435\u0445, \u0443 \u043a\u043e\u0433\u043e \u043c\u043e\u0437\u0433 [&hellip;]<\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":1,"featured_media":26448,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[702],"tags":[],"class_list":["post-35193","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-news"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.2 - aioseo.com -->\n\t<meta name=\"description\" content=\"\u041a\u0442\u043e \u043d\u0430\u0439\u0434\u0435\u0442 \u0442\u0443\u0442 \u00ab\u0441\u0435\u0442\u00bb, \u043f\u043e\u043b\u0443\u0447\u0438\u0442 \u043e\u0442 \u043c\u0435\u043d\u044f \u0448\u043e\u043a\u043e\u043b\u0430\u0434\u043a\u0443. .\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<meta name=\"author\" content=\"Yuri Gagarin\"\/>\n\t<link rel=\"canonical\" href=\"https:\/\/prohoster.info\/fr\/blog\/news\/matematika-i-igra-set\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 5.0.2\" \/>\n\t\t<meta property=\"og:locale\" content=\"fr_FR\" \/>\n\t\t<meta property=\"og:site_name\" content=\"ProHoster | \u041a\u0443\u043f\u0438\u0442\u044c \u043d\u0430\u0434\u0435\u0436\u043d\u044b\u0439 \u0445\u043e\u0441\u0442\u0438\u043d\u0433 \u0434\u043b\u044f \u0441\u0430\u0439\u0442\u043e\u0432 \u0441 \u0437\u0430\u0449\u0438\u0442\u043e\u0439 \u043e\u0442 DDoS, VPS VDS \u0441\u0435\u0440\u0432\u0435\u0440\u044b\" \/>\n\t\t<meta property=\"og:type\" content=\"article\" \/>\n\t\t<meta property=\"og:title\" content=\"\ud83e\udd47\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0438\u0433\u0440\u0430 \u00ab\u0421\u0435\u0442\u00bb | ProHoster\" \/>\n\t\t<meta property=\"og:description\" content=\"\u041a\u0442\u043e \u043d\u0430\u0439\u0434\u0435\u0442 \u0442\u0443\u0442 \u00ab\u0441\u0435\u0442\u00bb, \u043f\u043e\u043b\u0443\u0447\u0438\u0442 \u043e\u0442 \u043c\u0435\u043d\u044f \u0448\u043e\u043a\u043e\u043b\u0430\u0434\u043a\u0443. .\" \/>\n\t\t<meta property=\"og:url\" content=\"https:\/\/prohoster.info\/fr\/blog\/news\/matematika-i-igra-set\" \/>\n\t\t<meta property=\"og:image\" content=\"https:\/\/prohoster.info\/wp-content\/uploads\/2021\/11\/logo-350.jpg\" \/>\n\t\t<meta property=\"og:image:secure_url\" content=\"https:\/\/prohoster.info\/wp-content\/uploads\/2021\/11\/logo-350.jpg\" \/>\n\t\t<meta property=\"og:image:width\" content=\"350\" \/>\n\t\t<meta property=\"og:image:height\" content=\"350\" \/>\n\t\t<meta property=\"article:published_time\" content=\"2019-10-31T19:02:53+00:00\" \/>\n\t\t<meta property=\"article:modified_time\" content=\"2019-10-31T19:02:53+00:00\" \/>\n\t\t<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/prohoster\" \/>\n\t\t<meta property=\"article:author\" content=\"https:\/\/www.facebook.com\/prohoster\" \/>\n\t\t<!-- All in One SEO -->\n\n","aioseo_head_json":{"title":"\ud83e\udd47Math\u00e9matiques et le jeu \u00ab Set \u00bb | ProHoster","description":"Celui qui trouve ici un \u00ab set \u00bb recevra une chocolat de ma part.","canonical_url":"https:\/\/prohoster.info\/fr\/blog\/news\/matematika-i-igra-set","robots":"max-image-preview:large","keywords":"","webmasterTools":{"miscellaneous":""},"schema":null,"og:locale":"fr_FR","og:site_name":"ProHoster | \u041a\u0443\u043f\u0438\u0442\u044c \u043d\u0430\u0434\u0435\u0436\u043d\u044b\u0439 \u0445\u043e\u0441\u0442\u0438\u043d\u0433 \u0434\u043b\u044f \u0441\u0430\u0439\u0442\u043e\u0432 \u0441 \u0437\u0430\u0449\u0438\u0442\u043e\u0439 \u043e\u0442 DDoS, VPS VDS \u0441\u0435\u0440\u0432\u0435\u0440\u044b","og:type":"article","og:title":"\ud83e\udd47\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0438\u0433\u0440\u0430 \u00ab\u0421\u0435\u0442\u00bb | ProHoster","og:description":"\u041a\u0442\u043e \u043d\u0430\u0439\u0434\u0435\u0442 \u0442\u0443\u0442 \u00ab\u0441\u0435\u0442\u00bb, \u043f\u043e\u043b\u0443\u0447\u0438\u0442 \u043e\u0442 \u043c\u0435\u043d\u044f \u0448\u043e\u043a\u043e\u043b\u0430\u0434\u043a\u0443. .","og:url":"https:\/\/prohoster.info\/fr\/blog\/news\/matematika-i-igra-set","og:image":"https:\/\/prohoster.info\/wp-content\/uploads\/2021\/11\/logo-350.jpg","og:image:secure_url":"https:\/\/prohoster.info\/wp-content\/uploads\/2021\/11\/logo-350.jpg","og:image:width":350,"og:image:height":350,"article:published_time":"2019-10-31T19:02:53+00:00","article:modified_time":"2019-10-31T19:02:53+00:00","article:publisher":"https:\/\/www.facebook.com\/prohoster","article:author":"https:\/\/www.facebook.com\/prohoster"},"aioseo_meta_data":{"post_id":"35193","title":null,"description":null,"keywords":null,"keyphrases":null,"primary_term":null,"canonical_url":null,"og_title":null,"og_description":null,"og_object_type":"default","og_image_type":"default","og_image_url":null,"og_image_width":null,"og_image_height":null,"og_image_custom_url":null,"og_image_custom_fields":null,"og_video":null,"og_custom_url":null,"og_article_section":null,"og_article_tags":null,"twitter_use_og":false,"twitter_card":"default","twitter_image_type":"default","twitter_image_url":null,"twitter_image_custom_url":null,"twitter_image_custom_fields":null,"twitter_title":null,"twitter_description":null,"schema":{"blockGraphs":[],"customGraphs":[],"default":{"data":{"Article":[],"Course":[],"Dataset":[],"FAQPage":[],"Movie":[],"Person":[],"Product":[],"ProductReview":[],"Car":[],"Recipe":[],"Service":[],"SoftwareApplication":[],"WebPage":[]},"graphName":"","isEnabled":true},"graphs":[]},"schema_type":null,"schema_type_options":null,"pillar_content":false,"robots_default":true,"robots_noindex":false,"robots_noarchive":false,"robots_nosnippet":false,"robots_nofollow":false,"robots_noimageindex":false,"robots_noodp":false,"robots_notranslate":false,"robots_max_snippet":null,"robots_max_videopreview":null,"robots_max_imagepreview":"large","priority":null,"frequency":null,"local_seo":null,"seo_analyzer_scan_date":"2026-01-21 22:17:19","breadcrumb_settings":null,"limit_modified_date":false,"reviewed_by":null,"ai":null,"created":"2021-03-01 02:09:01","updated":"2026-01-21 22:17:19","focus_keyword":null,"additional_keywords":null,"truseo_locale":null},"gt_translate_keys":[{"key":"link","format":"url"}],"_links":{"self":[{"href":"https:\/\/prohoster.info\/fr\/wp-json\/wp\/v2\/posts\/35193","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/prohoster.info\/fr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/prohoster.info\/fr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/prohoster.info\/fr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/prohoster.info\/fr\/wp-json\/wp\/v2\/comments?post=35193"}],"version-history":[{"count":0,"href":"https:\/\/prohoster.info\/fr\/wp-json\/wp\/v2\/posts\/35193\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/prohoster.info\/fr\/wp-json\/wp\/v2\/media\/26448"}],"wp:attachment":[{"href":"https:\/\/prohoster.info\/fr\/wp-json\/wp\/v2\/media?parent=35193"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/prohoster.info\/fr\/wp-json\/wp\/v2\/categories?post=35193"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/prohoster.info\/fr\/wp-json\/wp\/v2\/tags?post=35193"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}