{"id":18143,"date":"2017-06-25T09:20:52","date_gmt":"2017-06-25T07:20:52","guid":{"rendered":"http:\/\/artherapievirtus.org\/RAIVVI\/?p=18143"},"modified":"2017-06-25T10:13:01","modified_gmt":"2017-06-25T08:13:01","slug":"mandelbrot-set","status":"publish","type":"post","link":"https:\/\/artherapievirtus.org\/RAIVVI\/mandelbrot-set\/","title":{"rendered":"Mandelbrot set"},"content":{"rendered":"<h6 style=\"text-align: center;\">C&rsquo;est du ouf \u00e0 regarder ! et j&rsquo;ai disparu\u2026<\/h6>\n<p><a href=\"http:\/\/artherapievirtus.org\/RAIVVI\/mandelbrot-set\/mendelbrot\/\" rel=\"attachment wp-att-18144\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-18144 size-medium\" src=\"https:\/\/i0.wp.com\/artherapievirtus.org\/RAIVVI\/wp-content\/uploads\/Mendelbrot-500x400.jpg?resize=500%2C400\" alt=\"\" width=\"500\" height=\"400\" srcset=\"https:\/\/i0.wp.com\/artherapievirtus.org\/RAIVVI\/wp-content\/uploads\/Mendelbrot.jpg?resize=500%2C400&amp;ssl=1 500w, https:\/\/i0.wp.com\/artherapievirtus.org\/RAIVVI\/wp-content\/uploads\/Mendelbrot.jpg?resize=1024%2C819&amp;ssl=1 1024w, https:\/\/i0.wp.com\/artherapievirtus.org\/RAIVVI\/wp-content\/uploads\/Mendelbrot.jpg?resize=1260%2C1008&amp;ssl=1 1260w, https:\/\/i0.wp.com\/artherapievirtus.org\/RAIVVI\/wp-content\/uploads\/Mendelbrot.jpg?w=1600&amp;ssl=1 1600w\" sizes=\"(max-width: 500px) 100vw, 500px\" data-recalc-dims=\"1\" \/><\/a><\/p>\n<p>Jeffrey Guterman\u200fCompte certifi\u00e9 @JeffreyGuterman<br \/>\n#MandelbrotSet #Mandelbrot #fractalgeometry -&gt; <a href=\"https:\/\/www.youtube.com\/watch?v=0jGaio87u3A&amp;list=PLO7bQPaBH-\" rel=\"nofollow\">https:\/\/www.youtube.com\/watch?v=0jGaio87u3A&amp;list=PLO7bQPaBH-<br \/>\n<\/a><br \/>\nVous avez publi\u00e9 cette exclamation sur tweeter, alors pourquoi ?<\/p>\n<blockquote><p>Les images de l&rsquo;ensemble de Mandelbrot pr\u00e9sentent une limite complexe et infiniment compliqu\u00e9e qui r\u00e9v\u00e8le des d\u00e9tails r\u00e9cursifs progressivement plus forts \u00e0 des grossissements croissants. Le \u00ab\u00a0style\u00a0\u00bb de ce d\u00e9tail r\u00e9p\u00e9titif d\u00e9pend de la r\u00e9gion de l&rsquo;ensemble \u00e0 examiner. La limite de l&rsquo;ensemble comprend \u00e9galement des versions plus petites de la forme principale, de sorte que la propri\u00e9t\u00e9 fractale de l&rsquo;auto-similitude s&rsquo;applique \u00e0 l&rsquo;ensemble, et pas seulement \u00e0 ses parties.<br \/>\nL&rsquo;ensemble Mandelbrot est devenu populaire en dehors des math\u00e9matiques \u00e0 la fois pour son attrait esth\u00e9tique et comme exemple d&rsquo;une structure complexe d\u00e9coulant de l&rsquo;application de r\u00e8gles simples. C&rsquo;est l&rsquo;un des exemples les plus connus de visualisation math\u00e9matique.<br \/>\n\u2026\/\u2026<br \/>\nL&rsquo;article de couverture de August American Scientific de 1985 a introduit un large public sur l&rsquo;algorithme d&rsquo;informatique du set de Mandelbrot. La couverture pr\u00e9sentait une image cr\u00e9\u00e9e par Peitgen, et al. [8] [9] L&rsquo;ensemble Mandelbrot est devenu important au milieu des ann\u00e9es 1980 en tant que d\u00e9mo graphique par ordinateur , lorsque les ordinateurs personnels sont devenus assez puissants pour tracer et afficher l&rsquo;ensemble en haute r\u00e9solution.<\/p><\/blockquote>\n<p>\/en.wikipedia.org\/wiki\/Mandelbrot_set<\/p>\n<p><a href=\"http:\/\/artherapievirtus.org\/RAIVVI\/mandelbrot-set\/mendelbrodth-set\/\" rel=\"attachment wp-att-18145\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-18145\" src=\"https:\/\/i0.wp.com\/artherapievirtus.org\/RAIVVI\/wp-content\/uploads\/Mendelbrodth-set.jpg?resize=283%2C426\" alt=\"\" width=\"283\" height=\"426\" data-recalc-dims=\"1\" \/><\/a><br \/>\nJ&rsquo;ai fait une s\u00e9rie de fractals brod\u00e9s en 1987-1989 \u00e0 Boston, lorsque j&rsquo;ai rencontr\u00e9 Beno\u00eet Mandelbrot. Ce n&rsquo;\u00e9tait pas simple, les ordinateurs personnels n&rsquo;\u00e9taient pas encore en mesure d&rsquo;imprimer tous ces dessins magiques. J&rsquo;allais \u00e0 l&rsquo;MIT et on m&rsquo;en donnait.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>C&rsquo;est du ouf \u00e0 regarder ! et j&rsquo;ai disparu\u2026 Jeffrey Guterman\u200fCompte certifi\u00e9 @JeffreyGuterman #MandelbrotSet #Mandelbrot #fractalgeometry -&gt; https:\/\/www.youtube.com\/watch?v=0jGaio87u3A&amp;list=PLO7bQPaBH- Vous avez publi\u00e9 cette exclamation sur tweeter, alors pourquoi ? Les images de l&rsquo;ensemble de Mandelbrot pr\u00e9sentent une limite complexe et infiniment compliqu\u00e9e qui r\u00e9v\u00e8le des d\u00e9tails r\u00e9cursifs progressivement plus forts \u00e0 des grossissements croissants. Le \u00ab\u00a0style\u00a0\u00bb&hellip; <\/p>\n<p class=\"toivo-read-more\"><a href=\"https:\/\/artherapievirtus.org\/RAIVVI\/mandelbrot-set\/\" class=\"more-link\">Lire la suite <span class=\"screen-reader-text\">Mandelbrot set<\/span><\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[53,15],"tags":[6,180],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/artherapievirtus.org\/RAIVVI\/wp-json\/wp\/v2\/posts\/18143"}],"collection":[{"href":"https:\/\/artherapievirtus.org\/RAIVVI\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/artherapievirtus.org\/RAIVVI\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/artherapievirtus.org\/RAIVVI\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/artherapievirtus.org\/RAIVVI\/wp-json\/wp\/v2\/comments?post=18143"}],"version-history":[{"count":3,"href":"https:\/\/artherapievirtus.org\/RAIVVI\/wp-json\/wp\/v2\/posts\/18143\/revisions"}],"predecessor-version":[{"id":18150,"href":"https:\/\/artherapievirtus.org\/RAIVVI\/wp-json\/wp\/v2\/posts\/18143\/revisions\/18150"}],"wp:attachment":[{"href":"https:\/\/artherapievirtus.org\/RAIVVI\/wp-json\/wp\/v2\/media?parent=18143"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/artherapievirtus.org\/RAIVVI\/wp-json\/wp\/v2\/categories?post=18143"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/artherapievirtus.org\/RAIVVI\/wp-json\/wp\/v2\/tags?post=18143"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}