{"id":1001,"date":"2019-04-22T09:00:00","date_gmt":"2019-04-22T07:00:00","guid":{"rendered":"https:\/\/smalltalks.eu\/blog\/?p=1001"},"modified":"2026-09-28T13:20:39","modified_gmt":"2026-09-28T11:20:39","slug":"quest-ce-qui-rend-lensemble-de-mandelbrot-si-special-numberphile","status":"publish","type":"post","link":"https:\/\/smalltalks.eu\/blog\/2019\/04\/22\/quest-ce-qui-rend-lensemble-de-mandelbrot-si-special-numberphile\/","title":{"rendered":"Qu&#8217;est-ce qui rend l&#8217;ensemble de Mandelbrot si sp\u00e9cial ? (Numberphile)"},"content":{"rendered":"\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"What&amp;apos;s so special about the Mandelbrot Set? - Numberphile\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/FFftmWSzgmk?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Ben Sparks part d&#8217;une op\u00e9ration toute simple, r\u00e9p\u00e9t\u00e9e \u00e0 l&#8217;infini sur des nombres complexes, et montre comment en naissent les ensembles de Julia, puis l&#8217;ensemble de Mandelbrot : sa visualisation, les zooms vertigineux dans sa structure, ses couleurs et son chaos, et le lien entre les deux (en anglais).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Dans la m\u00eame s\u00e9rie : <a href=\"https:\/\/smalltalks.eu\/blog\/?p=995\">la conjecture de Syracuse<\/a>, <a href=\"https:\/\/smalltalks.eu\/blog\/?p=996\">la d\u00e9couverte qui a transform\u00e9 \u03c0<\/a>, <a href=\"https:\/\/smalltalks.eu\/blog\/?p=997\">le cinqui\u00e8me postulat d&#8217;Euclide<\/a>, <a href=\"https:\/\/smalltalks.eu\/blog\/?p=998\">le n\u0153ud de Conway<\/a>, <a href=\"https:\/\/smalltalks.eu\/blog\/?p=640\">le chaos, de Poincar\u00e9 \u00e0 l\u2019application logistique<\/a>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>Vid\u00e9o de Numberphile, avec Ben Sparks.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ben Sparks part d&#8217;une op\u00e9ration toute simple, r\u00e9p\u00e9t\u00e9e \u00e0 l&#8217;infini sur des nombres complexes, et montre comment en naissent les ensembles de Julia, puis l&#8217;ensemble de Mandelbrot : sa visualisation, les zooms vertigineux dans sa structure, ses couleurs et son chaos, et le lien entre les deux (en anglais). Dans la m\u00eame s\u00e9rie : la conjecture de Syracuse, la d\u00e9couverte qui a transform\u00e9 \u03c0, le cinqui\u00e8me postulat d&#8217;Euclide, le n\u0153ud de Conway, le chaos, de Poincar\u00e9 \u00e0 l\u2019application logistique. Vid\u00e9o&#8230;<\/p>\n<p class=\"read-more\"><a class=\"btn btn-default\" href=\"https:\/\/smalltalks.eu\/blog\/2019\/04\/22\/quest-ce-qui-rend-lensemble-de-mandelbrot-si-special-numberphile\/\"> Read More<span class=\"screen-reader-text\">  Read More<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[382,280,282],"tags":[],"class_list":["post-1001","post","type-post","status-publish","format-standard","hentry","category-numberphile","category-sciences","category-sciences-mathematiques"],"_links":{"self":[{"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/posts\/1001","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/comments?post=1001"}],"version-history":[{"count":1,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/posts\/1001\/revisions"}],"predecessor-version":[{"id":1023,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/posts\/1001\/revisions\/1023"}],"wp:attachment":[{"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/media?parent=1001"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/categories?post=1001"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/tags?post=1001"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}