{"id":1855,"date":"2024-10-23T20:58:39","date_gmt":"2024-10-23T18:58:39","guid":{"rendered":"https:\/\/mathematicum.univ-pau.fr\/site\/?p=1855"},"modified":"2025-12-01T21:00:41","modified_gmt":"2025-12-01T20:00:41","slug":"kolam","status":"publish","type":"post","link":"https:\/\/mathematicum.univ-pau.fr\/site\/kolam\/","title":{"rendered":"K\u00f4lam"},"content":{"rendered":"<p><strong><em>Activit\u00e9 de Jacky Cresson.<\/em><\/strong><\/p>\n<h2>Sona, Nitus, K\u00f4lam et autres dessins sur le sable<\/h2>\n<p><strong>R\u00e9sum\u00e9 :<\/strong> Une petite introduction aux dessins sur le sable de la famille des k\u00f4lam indien. On rappelle l\u2019ubiquit\u00e9 de ces motifs dans diff\u00e9rentes civilisations et leurs usages. On se concentre ensuite sur la formation de k\u00f4lam dits complets \u00e0 l\u2019aide de courbes \u00e9l\u00e9mentaires permettant de faire des puzzle de k\u00f4lam. \u00c0 l\u2019aide de ces puzzle, on aborde plusieurs questions, notamment celle du trac\u00e9 des courbes obtenues ainsi que la construction de k\u00f4lam poss\u00e9dant diff\u00e9rents attributs (sym\u00e9triques, r\u00e9cursifs, etc). Le coloriage des k\u00f4lam permet de mieux en appr\u00e9cier la beaut\u00e9 et les sym\u00e9tries.<\/p>\n<ul>\n<li>Fichier : <a href=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/kolam-histoire.pdf\">Sona, Nitus, Kolam et autres dessins sur le sable<\/a><\/li>\n<\/ul>\n<h2>D\u00e9fis<\/h2>\n<p>T\u00e9l\u00e9chargez et imprimez le petit livre des k\u00f4lam pour relever les d\u00e9fis !<\/p>\n<ul>\n<li>Fichier : <a href=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/petit-livre-kolam.pdf\">Le petit livre des k\u00f4lam (d\u00e9fis)<\/a><\/li>\n<li>Fichier : <a href=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/petit-livre-kolam-color.pdf\">Le petit livre des k\u00f4lam (solutions non colori\u00e9es)<\/a><\/li>\n<li>Fichier : <a href=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/petit-livre-kolam-color-solutions.pdf\">Le petit livre des k\u00f4lam (solutions colori\u00e9es)<\/a><\/li>\n<\/ul>\n<h2>Puzzles<\/h2>\n<p>T\u00e9l\u00e9chargez et imprimez les pi\u00e8ces de puzzle pour r\u00e9aliser des k\u00f4lam.<\/p>\n<ul>\n<li>Fichiers en noir et blanc :<\/li>\n<\/ul>\n<p><a href=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-1.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1865 size-thumbnail\" src=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-1-115x150.png\" alt=\"Puzzle k\u00f4lam 1 (noir et blanc)\" width=\"115\" height=\"150\" srcset=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-1-115x150.png 115w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-1-231x300.png 231w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-1-787x1024.png 787w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-1-1181x1536.png 1181w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-1-624x812.png 624w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-1.png 1350w\" sizes=\"auto, (max-width: 115px) 100vw, 115px\" \/><\/a><a href=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-2.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1866 size-thumbnail\" src=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-2-115x150.png\" alt=\"Puzzle k\u00f4lam 2 (noir et blanc)\" width=\"115\" height=\"150\" srcset=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-2-115x150.png 115w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-2-231x300.png 231w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-2-787x1024.png 787w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-2-1181x1536.png 1181w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-2-624x812.png 624w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-2.png 1350w\" sizes=\"auto, (max-width: 115px) 100vw, 115px\" \/><\/a><\/p>\n<ul>\n<li>Fichiers en couleur :<\/li>\n<\/ul>\n<p><a href=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-1-color.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-thumbnail wp-image-1867\" src=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-1-color-115x150.png\" alt=\"Puzzle k\u00f4lam 1 (couleur)\" width=\"115\" height=\"150\" srcset=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-1-color-115x150.png 115w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-1-color-231x300.png 231w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-1-color-787x1024.png 787w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-1-color-1181x1536.png 1181w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-1-color-624x812.png 624w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-1-color.png 1350w\" sizes=\"auto, (max-width: 115px) 100vw, 115px\" \/><\/a><a href=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-2-color.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-thumbnail wp-image-1868\" src=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-2-color-115x150.png\" alt=\"Puzzle k\u00f4lam 2 (couleur)\" width=\"115\" height=\"150\" srcset=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-2-color-115x150.png 115w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-2-color-231x300.png 231w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-2-color-787x1024.png 787w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-2-color-1181x1536.png 1181w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-2-color-624x812.png 624w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/planche-kolam-puzzle-2-color.png 1350w\" sizes=\"auto, (max-width: 115px) 100vw, 115px\" \/><\/a><\/p>\n<h2>K\u00f4lam et hexaflexagone<\/h2>\n<p>Couplage entre le k\u00f4lam et un t\u00e9tra hexaflexagone :<\/p>\n<ul>\n<li>Vid\u00e9o d&rsquo;explication de la construction du t\u00e9tra hexaflexagone : https:\/\/youtu.be\/U4_cNsM8FPE<\/li>\n<li>Fichier : <a href=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2024\/10\/carre-origami-recto-verso-mathematicum.pdf\">K\u00f4lam et origami (hexaflexagone)<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Activit\u00e9 de Jacky Cresson. Sona, Nitus, K\u00f4lam et autres dessins sur le sable R\u00e9sum\u00e9 : Une petite introduction aux dessins sur le sable de la famille des k\u00f4lam indien. On rappelle l\u2019ubiquit\u00e9 de ces motifs dans diff\u00e9rentes civilisations et leurs usages. On se concentre ensuite sur la formation de k\u00f4lam dits complets \u00e0 l\u2019aide de [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":1860,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[108],"tags":[56,109,64],"class_list":["post-1855","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-jeux-ressources-en-ligne","tag-defi","tag-graphes","tag-jeux-mathematiques"],"acf":[],"_links":{"self":[{"href":"https:\/\/mathematicum.univ-pau.fr\/site\/wp-json\/wp\/v2\/posts\/1855","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathematicum.univ-pau.fr\/site\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathematicum.univ-pau.fr\/site\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathematicum.univ-pau.fr\/site\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathematicum.univ-pau.fr\/site\/wp-json\/wp\/v2\/comments?post=1855"}],"version-history":[{"count":11,"href":"https:\/\/mathematicum.univ-pau.fr\/site\/wp-json\/wp\/v2\/posts\/1855\/revisions"}],"predecessor-version":[{"id":1877,"href":"https:\/\/mathematicum.univ-pau.fr\/site\/wp-json\/wp\/v2\/posts\/1855\/revisions\/1877"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mathematicum.univ-pau.fr\/site\/wp-json\/wp\/v2\/media\/1860"}],"wp:attachment":[{"href":"https:\/\/mathematicum.univ-pau.fr\/site\/wp-json\/wp\/v2\/media?parent=1855"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematicum.univ-pau.fr\/site\/wp-json\/wp\/v2\/categories?post=1855"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematicum.univ-pau.fr\/site\/wp-json\/wp\/v2\/tags?post=1855"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}