{"id":18977,"date":"2019-08-15T04:00:18","date_gmt":"2019-08-15T08:00:18","guid":{"rendered":"http:\/\/chcollins.com\/100Billion\/?p=18977"},"modified":"2022-08-01T07:42:50","modified_gmt":"2022-08-01T11:42:50","slug":"the-nancy-set","status":"publish","type":"post","link":"https:\/\/chcollins.com\/100Billion\/2019\/08\/the-nancy-set\/","title":{"rendered":"The Nancy Set"},"content":{"rendered":"<p><a href=\"http:\/\/chcollins.com\/100Billion\/wp-content\/uploads\/1200px-Mandel_zoom_nancy.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-18983 size-full\" style=\"margin-bottom: 24px;\" title=\"The Nancy Set (with credits to Bushmiller and Mandelbrot) -- CHCollins.com 2019\" src=\"http:\/\/chcollins.com\/100Billion\/wp-content\/uploads\/1200px-Mandel_zoom_nancy.jpg\" alt=\"The Nancy Set (with credits to Bushmiller and Mandelbrot) -- CHCollins.com 2019\" width=\"1260\" height=\"960\" srcset=\"https:\/\/chcollins.com\/100Billion\/wp-content\/uploads\/1200px-Mandel_zoom_nancy.jpg 1260w, https:\/\/chcollins.com\/100Billion\/wp-content\/uploads\/1200px-Mandel_zoom_nancy-300x229.jpg 300w, https:\/\/chcollins.com\/100Billion\/wp-content\/uploads\/1200px-Mandel_zoom_nancy-768x585.jpg 768w, https:\/\/chcollins.com\/100Billion\/wp-content\/uploads\/1200px-Mandel_zoom_nancy-640x488.jpg 640w\" sizes=\"auto, (max-width: 1260px) 100vw, 1260px\" \/><\/a>Recreational math buffs were introduced to <em>fractals<\/em>, shapes that repeat themselves at ever-smaller scales <em>ad infinitum<\/em>, in the August 1985 issue of <em>Scientific American<\/em>.\u00a0 This was back when <em>Scientific American <\/em>was a thick, high-quality magazine that respected the intelligence of reasonably-educated persons &#8212; and when I was a subscriber.<\/p>\n<p>Anyway, French mathematician Benoit Mandelbrot (1924-2010) coined the term <em>fractal<\/em> for the dimension-rich contours of such natural formations as coastlines and fern leaves.\u00a0 He was responsible for advancing and popularizing the science of fractals, most notably in his work <a href=\"https:\/\/images.macmillan.com\/folio-assets\/macmillan_us_frontbookcovers_1000H\/9780716711865.jpg\"><em>The Fractal Geometry of Nature<\/em><\/a>, published August 15, 1982, 37 years ago today.\u00a0 I prize my hardcover copy.<\/p>\n<p><a href=\"http:\/\/chcollins.com\/100Billion\/wp-content\/uploads\/Mandel_280.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft wp-image-20198\" style=\"margin-top: 0px; width: 160px;\" src=\"http:\/\/chcollins.com\/100Billion\/wp-content\/uploads\/Mandel_280.jpg\" alt=\"\" width=\"160\" height=\"120\" \/><\/a>Perhaps the most well-known fractal shape is the bulbous and prickly <a href=\"https:\/\/blogs.scientificamerican.com\/roots-of-unity\/a-few-of-my-favorite-spaces-the-mandelbrot-set\/\">Mandelbrot Set<\/a> which featured prominently in his book.\u00a0 For some reason &#8212; probably that small indentation &#8212; this figure always reminded me of the 20th-century comic strip character Nancy, who was created and drawn by <a href=\"https:\/\/www.washingtonpost.com\/news\/comic-riffs\/wp\/2018\/04\/12\/nancy-has-a-cult-following-among-many-top-comics-pros-heres-why\/?noredirect=on&amp;utm_term=.9c60f69e6435\">Ernie Bushmiller<\/a>.<\/p>\n<p>By odd coincidence, A<span class=\"st\">ugust 15, 1982, the day Mandelbrot&#8217;s masterwork was published, was also the day Ernie Bushmiller died, a week before his 77th birthday.\u00a0 I don&#8217;t quite know what to make of this but I&#8217;m sure it holds some cosmic (or comic) significance.<br \/>\n<\/span><\/p>\n<p>So to properly commemorate this day, I created a visual <em>portmanteau<\/em> of the signature works of both men, which I call <a href=\"http:\/\/chcollins.com\/100Billion\/wp-content\/uploads\/1200px-Mandel_zoom_nancy.jpg\"><em>The Nancy Set<\/em><\/a>.\u00a0 Although Mandelbrot and Bushmiller sat on opposite ends of the intellectual spectrum, their respective creations seem to belong to the same dimensionally-ambiguous world.<\/p>\n<p style=\"text-align: center;\">\u2022 \u2022 \u2022<\/p>\n<p>For an intriguing foretaste of fractals in Nancy&#8217;s world, <a href=\"https:\/\/www.gocomics.com\/nancy\/1948\/05\/19\">here<\/a> is the <em>Nancy <\/em>strip published on May 19, 1948, as Mandelbrot was about to receive his masters degree from Cal Tech:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-20204 size-full\" style=\"margin-top: -6px; margin-bottom: 20px;\" src=\"http:\/\/chcollins.com\/100Billion\/wp-content\/uploads\/nancy620.png\" alt=\"\" width=\"620\" height=\"177\" srcset=\"https:\/\/chcollins.com\/100Billion\/wp-content\/uploads\/nancy620.png 620w, https:\/\/chcollins.com\/100Billion\/wp-content\/uploads\/nancy620-300x86.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/>Note how Fritzi is looking right past Nancy, back to the infinite regress in the first panel.\u00a0 Is this a second way that the strip plays with endless repetition?\u00a0 Or would that premise give Bushmiller too much credit?\u00a0 I suspect the latter but we will never know.<\/p>\n<p>Dream in peace, Benoit and Ernie.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Recreational math buffs were introduced to fractals, shapes that repeat themselves at ever-smaller scales ad infinitum, in the August 1985 issue of Scientific American.\u00a0 This was back when Scientific American was a thick, high-quality magazine that respected the intelligence of &hellip; <a href=\"https:\/\/chcollins.com\/100Billion\/2019\/08\/the-nancy-set\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[35],"tags":[],"class_list":["post-18977","post","type-post","status-publish","format-standard","hentry","category-creativity"],"_links":{"self":[{"href":"https:\/\/chcollins.com\/100Billion\/wp-json\/wp\/v2\/posts\/18977","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/chcollins.com\/100Billion\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/chcollins.com\/100Billion\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/chcollins.com\/100Billion\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/chcollins.com\/100Billion\/wp-json\/wp\/v2\/comments?post=18977"}],"version-history":[{"count":30,"href":"https:\/\/chcollins.com\/100Billion\/wp-json\/wp\/v2\/posts\/18977\/revisions"}],"predecessor-version":[{"id":20232,"href":"https:\/\/chcollins.com\/100Billion\/wp-json\/wp\/v2\/posts\/18977\/revisions\/20232"}],"wp:attachment":[{"href":"https:\/\/chcollins.com\/100Billion\/wp-json\/wp\/v2\/media?parent=18977"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/chcollins.com\/100Billion\/wp-json\/wp\/v2\/categories?post=18977"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/chcollins.com\/100Billion\/wp-json\/wp\/v2\/tags?post=18977"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}