{"id":1824,"date":"2024-02-15T12:00:14","date_gmt":"2024-02-15T11:00:14","guid":{"rendered":"https:\/\/mathematicum.univ-pau.fr\/site\/?p=1824"},"modified":"2025-12-01T21:00:47","modified_gmt":"2025-12-01T20:00:47","slug":"les-decoupages-magiques-de-harry-houdini","status":"publish","type":"post","link":"https:\/\/mathematicum.univ-pau.fr\/site\/les-decoupages-magiques-de-harry-houdini\/","title":{"rendered":"Les d\u00e9coupages magiques de Harry Houdini"},"content":{"rendered":"<p>Ce texte de Jacky Cresson et Laurene Hume est \u00e0 para\u00eetre dans la gazette des math\u00e9maticiens dans un num\u00e9ro sp\u00e9cial consacrait \u00e0 la diffusion des math\u00e9matiques.<!--more--><\/p>\n<p style=\"text-align: justify;\">En 1922, Harry Houdini, c\u00e9l\u00e8bre magicien, publie un livre intitul\u00e9 \u201dHoudini\u2019s paper magic\u201d, qui contient des origamis et des d\u00e9coupages. L\u2019une des activit\u00e9s pr\u00e9sent\u00e9es s\u2019appelle \u201dL\u2019\u00e9toile `a cinq branches\u201d : le but est de d\u00e9couper une \u00b4\u00e9toile \u00e0 cinq branches dans une feuille de papier carr\u00e9e en un seul coup de ciseaux ! Plus g\u00e9n\u00e9ralement, si je dessine une forme polygonale sur une feuille, est-il toujours possible de la d\u00e9couper en un seul coup de ciseaux ? La r\u00e9ponse est positive et concerne m\u00eame toute famille finie de polygones disjoints sur une feuille. C\u2019est le F<em>old and Cut theorem<\/em> d\u00e9montr\u00e9 en 1999 par Erik Demaine, Martin Demaine et Anna Lubiw.<\/p>\n<p><a href=\"https:\/\/kits.math.cnrs.fr\/sites\/default\/files\/2023-11\/028_Cresson_Hume_origami_final.pdf\" target=\"_blank\" rel=\"noopener\">https:\/\/kits.math.cnrs.fr\/sites\/default\/files\/2023-11\/028_Cresson_Hume_origami_final.pdf<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ce texte de Jacky Cresson et Laurene Hume est \u00e0 para\u00eetre dans la gazette des math\u00e9maticiens dans un num\u00e9ro sp\u00e9cial consacrait \u00e0 la diffusion des math\u00e9matiques.<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[1,106,92,94],"tags":[],"class_list":["post-1824","post","type-post","status-publish","format-standard","hentry","category-non-classe","category-origami-pliages","category-ressources","category-ressources-en-ligne"],"acf":[],"_links":{"self":[{"href":"https:\/\/mathematicum.univ-pau.fr\/site\/wp-json\/wp\/v2\/posts\/1824","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\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/mathematicum.univ-pau.fr\/site\/wp-json\/wp\/v2\/comments?post=1824"}],"version-history":[{"count":4,"href":"https:\/\/mathematicum.univ-pau.fr\/site\/wp-json\/wp\/v2\/posts\/1824\/revisions"}],"predecessor-version":[{"id":1837,"href":"https:\/\/mathematicum.univ-pau.fr\/site\/wp-json\/wp\/v2\/posts\/1824\/revisions\/1837"}],"wp:attachment":[{"href":"https:\/\/mathematicum.univ-pau.fr\/site\/wp-json\/wp\/v2\/media?parent=1824"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematicum.univ-pau.fr\/site\/wp-json\/wp\/v2\/categories?post=1824"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematicum.univ-pau.fr\/site\/wp-json\/wp\/v2\/tags?post=1824"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}