{"id":2500,"date":"2017-06-22T14:22:10","date_gmt":"2017-06-22T13:22:10","guid":{"rendered":"http:\/\/www.verdeil.ch\/guillermaux\/?p=2500"},"modified":"2017-07-04T13:45:32","modified_gmt":"2017-07-04T12:45:32","slug":"labos-de-maths-les-carres-de-macmahon","status":"publish","type":"post","link":"https:\/\/www.verdeil.ch\/guillermaux\/labos-de-maths-les-carres-de-macmahon","title":{"rendered":"Labos de Maths &#8211; Les carr\u00e9s de MacMahon"},"content":{"rendered":"<p>Une nouvelle \u00e9nigme \u00e0 laquelle les chercheurs fut\u00e9s du groupe Archim\u00e8de se sont frott\u00e9s:<\/p>\n<ol>\n<li><span style=\"color: #4f81bd;\"><u>Explication du probl\u00e8me<\/u><\/span><\/li>\n<\/ol>\n<p>Colorier des carr\u00e9s en utilisant 3 couleurs diff\u00e9rentes<\/p>\n<p>&#8211; rouge<\/p>\n<p>&#8211; jaune<\/p>\n<p>&#8211; blanc<\/p>\n<p><span style=\"color: #4f81bd;\"><u>2) But\u00a0: <\/u><\/span><\/p>\n<p>Nous avons d\u00fb trouver combien de carr\u00e9s diff\u00e9rents nous pouvions r\u00e9aliser\u00a0avec les 3 couleurs.<\/p>\n<p><!--more--><\/p>\n<p><span style=\"color: #4f81bd;\"><u>3) Nos r\u00e9sultats\u00a0: <\/u><\/span><\/p>\n<p>&#8211; 20<\/p>\n<p>&#8211; 10<\/p>\n<p>&#8211; 25<\/p>\n<p>&#8211; 22<\/p>\n<p><span style=\"color: #4f81bd;\"><u>4) Comment on a fait\u00a0?<\/u><\/span><\/p>\n<p>On a commenc\u00e9 par une couleur, la rouge par exemple, ensuite on a introduit seulement le jaune afin de trouver le plus de possibilit\u00e9. Et ainsi de suite.<\/p>\n<p><span style=\"color: #4f81bd;\"><u>5) Avis sur le probl\u00e8me<\/u><\/span><\/p>\n<p>Difficile\u00a0:<\/p>\n<p>&#8211; d&rsquo;utiliser plusieurs couleurs.<\/p>\n<p>&#8211; de trouver de nouvelles id\u00e9es.<\/p>\n<p>&#8211; de ne pas mettre la m\u00eame couleur au m\u00eame endroit.<\/p>\n<p>&#8211; de changer de couleur.<\/p>\n<p>&#8211; de ne pas faire plusieurs fois le m\u00eame carr\u00e9 =&gt; nous devions faire attention que si nous tournons le carr\u00e9, il ne soit pas identique \u00e0 un autre<\/p>\n<p>Amusant!<\/p>\n<p>Bonne participation de chacun et bonne motivation.<\/p>\n<p><span style=\"color: #4f81bd;\"><u>6) Solution du probl\u00e8me<\/u><\/span><\/p>\n<p>Au maximum, nous pouvions trouver 24 carr\u00e9s diff\u00e9rents avec trois couleurs.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft wp-image-2505 size-full\" src=\"http:\/\/www.verdeil.ch\/guillermaux\/wp-content\/uploads\/2017\/06\/mac-mahon-image.jpg\" alt=\"\" width=\"896\" height=\"602\" srcset=\"https:\/\/www.verdeil.ch\/guillermaux\/wp-content\/uploads\/2017\/06\/mac-mahon-image.jpg 896w, https:\/\/www.verdeil.ch\/guillermaux\/wp-content\/uploads\/2017\/06\/mac-mahon-image-300x202.jpg 300w, https:\/\/www.verdeil.ch\/guillermaux\/wp-content\/uploads\/2017\/06\/mac-mahon-image-768x516.jpg 768w, https:\/\/www.verdeil.ch\/guillermaux\/wp-content\/uploads\/2017\/06\/mac-mahon-image-360x242.jpg 360w, https:\/\/www.verdeil.ch\/guillermaux\/wp-content\/uploads\/2017\/06\/mac-mahon-image-566x380.jpg 566w\" sizes=\"auto, (max-width: 896px) 100vw, 896px\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Une nouvelle \u00e9nigme \u00e0 laquelle les chercheurs fut\u00e9s du groupe Archim\u00e8de se sont frott\u00e9s: Explication du probl\u00e8me Colorier des carr\u00e9s en utilisant 3 couleurs diff\u00e9rentes &#8211; rouge &#8211; jaune &#8211; blanc 2) But\u00a0: Nous avons d\u00fb trouver combien de carr\u00e9s diff\u00e9rents nous pouvions r\u00e9aliser\u00a0avec les 3 couleurs.<\/p>\n<p> <a class=\"continue-reading-link\" href=\"https:\/\/www.verdeil.ch\/guillermaux\/labos-de-maths-les-carres-de-macmahon\"><span>Continue reading<\/span><i class=\"crycon-right-dir\"><\/i><\/a> <\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[50],"tags":[],"class_list":["post-2500","post","type-post","status-publish","format-standard","hentry","category-labos-de-maths"],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/www.verdeil.ch\/guillermaux\/wp-json\/wp\/v2\/posts\/2500","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.verdeil.ch\/guillermaux\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.verdeil.ch\/guillermaux\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.verdeil.ch\/guillermaux\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.verdeil.ch\/guillermaux\/wp-json\/wp\/v2\/comments?post=2500"}],"version-history":[{"count":2,"href":"https:\/\/www.verdeil.ch\/guillermaux\/wp-json\/wp\/v2\/posts\/2500\/revisions"}],"predecessor-version":[{"id":2506,"href":"https:\/\/www.verdeil.ch\/guillermaux\/wp-json\/wp\/v2\/posts\/2500\/revisions\/2506"}],"wp:attachment":[{"href":"https:\/\/www.verdeil.ch\/guillermaux\/wp-json\/wp\/v2\/media?parent=2500"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.verdeil.ch\/guillermaux\/wp-json\/wp\/v2\/categories?post=2500"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.verdeil.ch\/guillermaux\/wp-json\/wp\/v2\/tags?post=2500"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}