{"id":3650,"date":"2024-02-27T00:04:24","date_gmt":"2024-02-26T23:04:24","guid":{"rendered":"https:\/\/eva.louis-le-grand.net\/maths\/?p=3650"},"modified":"2024-05-03T23:59:28","modified_gmt":"2024-05-03T21:59:28","slug":"combien-dans-le-plat","status":"publish","type":"post","link":"https:\/\/eva.louis-le-grand.net\/maths\/index.php\/2024\/02\/27\/combien-dans-le-plat\/","title":{"rendered":"Combien dans le plat ?"},"content":{"rendered":"\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/pommes-noisettes-1024x1024.jpg\" alt=\"\" class=\"wp-image-3653\" srcset=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/pommes-noisettes-1024x1024.jpg 1024w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/pommes-noisettes-300x300.jpg 300w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/pommes-noisettes-150x150.jpg 150w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/pommes-noisettes-768x768.jpg 768w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/pommes-noisettes-1536x1536.jpg 1536w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/pommes-noisettes-2048x2048.jpg 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/choux-bruxelles-1024x1024.jpg\" alt=\"\" class=\"wp-image-3651\" srcset=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/choux-bruxelles-1024x1024.jpg 1024w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/choux-bruxelles-300x300.jpg 300w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/choux-bruxelles-150x150.jpg 150w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/choux-bruxelles-768x768.jpg 768w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/choux-bruxelles-1536x1536.jpg 1536w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/choux-bruxelles-2048x2048.jpg 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/groseilles-1024x1024.jpg\" alt=\"\" class=\"wp-image-3654\" srcset=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/groseilles-1024x1024.jpg 1024w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/groseilles-300x300.jpg 300w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/groseilles-150x150.jpg 150w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/groseilles-768x769.jpg 768w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/groseilles-1534x1536.jpg 1534w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/groseilles-2046x2048.jpg 2046w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/steack-haches-ronds-1024x1024.jpg\" alt=\"\" class=\"wp-image-3652\" srcset=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/steack-haches-ronds-1024x1024.jpg 1024w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/steack-haches-ronds-300x300.jpg 300w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/steack-haches-ronds-150x150.jpg 150w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/steack-haches-ronds-768x768.jpg 768w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/steack-haches-ronds-1536x1536.jpg 1536w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/steack-haches-ronds-2048x2048.jpg 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1014\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/05\/oeuf-au-plat-1024x1014.jpg\" alt=\"\" class=\"wp-image-3971\" srcset=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/05\/oeuf-au-plat-1024x1014.jpg 1024w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/05\/oeuf-au-plat-300x297.jpg 300w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/05\/oeuf-au-plat-150x150.jpg 150w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/05\/oeuf-au-plat-768x761.jpg 768w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/05\/oeuf-au-plat-1536x1521.jpg 1536w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/05\/oeuf-au-plat-2048x2028.jpg 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Arrangements de cercles les plus denses de 1 \u00e0 20 dans un cercle. Seuls les cas 1,&nbsp;2,&nbsp;3, 4,&nbsp;5, 6,&nbsp;7, 10,&nbsp;11, 12,&nbsp;13,&nbsp;19 ont \u00e9t\u00e9 d\u00e9montr\u00e9s, les autres sont conjectur\u00e9s par simulation sur ordinateur ou dans une cuisine.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"812\" height=\"1024\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/ronds-812x1024.jpg\" alt=\"\" class=\"wp-image-3784\" srcset=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/ronds-812x1024.jpg 812w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/ronds-238x300.jpg 238w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/ronds-768x969.jpg 768w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/ronds-1217x1536.jpg 1217w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/ronds-1623x2048.jpg 1623w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2024\/02\/ronds-scaled.jpg 2029w\" sizes=\"auto, (max-width: 812px) 100vw, 812px\" \/><\/figure>\n\n\n\nPour aller plus loin:\n<a href='https:\/\/fr.wikipedia.org\/wiki\/Empilement_de_cercles' target=\"new\" rel=\"noopener\">Lien wikipedia<\/a> et <a href='https:\/\/fr.wikipedia.org\/wiki\/Cercles_de_Malfatti'>Cercles de Malfatti<\/a>\n","protected":false},"excerpt":{"rendered":"<p>Optimisation de r\u00e9partition dense de cercles dans des cercles.<\/p>\n","protected":false},"author":1,"featured_media":3786,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-3650","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-non-classe"],"_links":{"self":[{"href":"https:\/\/eva.louis-le-grand.net\/maths\/index.php\/wp-json\/wp\/v2\/posts\/3650","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/eva.louis-le-grand.net\/maths\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/eva.louis-le-grand.net\/maths\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/eva.louis-le-grand.net\/maths\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/eva.louis-le-grand.net\/maths\/index.php\/wp-json\/wp\/v2\/comments?post=3650"}],"version-history":[{"count":5,"href":"https:\/\/eva.louis-le-grand.net\/maths\/index.php\/wp-json\/wp\/v2\/posts\/3650\/revisions"}],"predecessor-version":[{"id":3972,"href":"https:\/\/eva.louis-le-grand.net\/maths\/index.php\/wp-json\/wp\/v2\/posts\/3650\/revisions\/3972"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/eva.louis-le-grand.net\/maths\/index.php\/wp-json\/wp\/v2\/media\/3786"}],"wp:attachment":[{"href":"https:\/\/eva.louis-le-grand.net\/maths\/index.php\/wp-json\/wp\/v2\/media?parent=3650"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/eva.louis-le-grand.net\/maths\/index.php\/wp-json\/wp\/v2\/categories?post=3650"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/eva.louis-le-grand.net\/maths\/index.php\/wp-json\/wp\/v2\/tags?post=3650"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}