{"id":2335,"date":"2010-10-17T10:35:15","date_gmt":"2010-10-17T14:35:15","guid":{"rendered":"http:\/\/www.hoogervorst.ca\/arthur\/?p=2335"},"modified":"2010-10-24T18:56:53","modified_gmt":"2010-10-24T22:56:53","slug":"mandelbrot","status":"publish","type":"post","link":"http:\/\/www.hoogervorst.ca\/arthur\/?p=2335","title":{"rendered":"Mandelbrot"},"content":{"rendered":"<p><span class='dropcap'>L<\/span><a href=\"http:\/\/www.hoogervorst.ca\/arthur\/?attachment_id=2336\" rel=\"attachment wp-att-2336\"><img decoding=\"async\" loading=\"lazy\" src=\"http:\/\/www.hoogervorst.ca\/arthur\/wp-content\/uploads\/2010\/10\/fract0-150x88.png\" alt=\"\" title=\"A fractal\" width=\"150\" height=\"88\" class=\"alignright size-thumbnail wp-image-2336\" srcset=\"http:\/\/www.hoogervorst.ca\/arthur\/wp-content\/uploads\/2010\/10\/fract0-150x88.png 150w, http:\/\/www.hoogervorst.ca\/arthur\/wp-content\/uploads\/2010\/10\/fract0-300x177.png 300w, http:\/\/www.hoogervorst.ca\/arthur\/wp-content\/uploads\/2010\/10\/fract0-1024x606.png 1024w, http:\/\/www.hoogervorst.ca\/arthur\/wp-content\/uploads\/2010\/10\/fract0.png 1276w\" sizes=\"(max-width: 150px) 100vw, 150px\" \/><\/a>ast Friday, Benoit Mandelbrot died, which was widely published <a href=\"http:\/\/news.google.com\/news\/more?q=Mandelbrot&#038;hl=en&#038;biw=1280&#038;bih=713&#038;prmd=nivlb&#038;resnum=1&#038;um=1&#038;ie=UTF-8&#038;ncl=devNtzmFasDnGXMfH_TuIeH8tXalM&#038;ei=xwS7TMf_IsT38AbPr7CZDw&#038;sa=X&#038;oi=news_result&#038;ct=more-results&#038;cd=1&#038;resnum=2&#038;ved=0CCMQqgIoADAB\">around on the Internet<\/a>. Generally adored by nerds, Mandelbrot, while respected, was a fairly <a href=\"http:\/\/www.nytimes.com\/2010\/10\/17\/us\/17mandelbrot.html\">controversial figure in the mathematics world<\/a>.\n<\/p>\n<p class=\"quote\">Mandelbrot doesn\u00e2\u20ac\u2122t spend months or years proving what he has observed,\u00e2\u20ac\u009d for which he \u00e2\u20ac\u0153has received quite a bit of criticism. \u00e2\u20ac\u00a6 But if we talk about impact inside mathematics, and applications in the sciences, he is one of the most important figures of the last 50 years.\n<\/p>\n<p>I dare to say that Mandelbrots formulas took off with the introduction of the 8-bit colour homecomputers  (<a href=\"http:\/\/www.hoogervorst.ca\/arthur\/?p=595\">earlier on xsamplex in 2004<\/a>) and all these fractal generating programs. On our MSX2, I think it took at least a week to generate a simple Mandelbroth (320 x 250 with 256 colours). Even with earlier versions of Fractint on 286 AT machines, it would take days: today&#8217;s processing power does this in less than a second.\n<\/p>\n<p>Whenever I think of Benoit Mandelbrot, I think about how fast computers have progressed in those years.\n<\/p>\n<div class=\"reference\"><strong>10\/24\/2010:<\/strong> Jonathan Coulton&#8217;s <a href=\"http:\/\/www.jonathancoulton.com\/2010\/10\/18\/and-i-couldnt-even-get-the-math-right\/\">&#8216;Mandelbrot song&#8217;<\/a>.\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Last Friday, Benoit Mandelbrot died, which was widely published around on the Internet. Generally adored by nerds, Mandelbrot, while respected, was a fairly controversial figure in the mathematics world. Mandelbrot doesn\u00e2\u20ac\u2122t spend months or years proving what he has observed,\u00e2\u20ac\u009d &hellip; <a href=\"http:\/\/www.hoogervorst.ca\/arthur\/?p=2335\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[7,11],"tags":[189,446],"_links":{"self":[{"href":"http:\/\/www.hoogervorst.ca\/arthur\/index.php?rest_route=\/wp\/v2\/posts\/2335"}],"collection":[{"href":"http:\/\/www.hoogervorst.ca\/arthur\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.hoogervorst.ca\/arthur\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.hoogervorst.ca\/arthur\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/www.hoogervorst.ca\/arthur\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2335"}],"version-history":[{"count":1,"href":"http:\/\/www.hoogervorst.ca\/arthur\/index.php?rest_route=\/wp\/v2\/posts\/2335\/revisions"}],"predecessor-version":[{"id":2343,"href":"http:\/\/www.hoogervorst.ca\/arthur\/index.php?rest_route=\/wp\/v2\/posts\/2335\/revisions\/2343"}],"wp:attachment":[{"href":"http:\/\/www.hoogervorst.ca\/arthur\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2335"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.hoogervorst.ca\/arthur\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2335"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.hoogervorst.ca\/arthur\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2335"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}