{"id":1833,"date":"2003-12-14T23:22:23","date_gmt":"2003-12-15T03:22:23","guid":{"rendered":"http:\/\/blogs.law.harvard.edu\/dbnews\/2003\/12\/14\/next-years-hot-christmas-puzzle\/"},"modified":"2003-12-14T23:22:23","modified_gmt":"2003-12-15T03:22:23","slug":"next-years-hot-christmas-puzzle","status":"publish","type":"post","link":"https:\/\/archive.blogs.harvard.edu\/dowbrigade\/2003\/12\/14\/next-years-hot-christmas-puzzle\/","title":{"rendered":"Next Year&#8217;s Hot Christmas Puzzle"},"content":{"rendered":"<p><a name='a2038'><\/a><\/p>\n<table width=\"537\" border=\"0\">\n<tr>\n<td>\n<p><font color=\"#000000\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/cyber.law.harvard.edu\/blogs\/static\/dowbrigade\/Grid2.gif\" width=\"151\" height=\"151\" align=\"left\"><em>Is<br \/>\n          it a children&#8217;s game? Is it an obscure orgami design? Is it some sort<br \/>\n          of Ancient Greek Rubik&#8217;s Cube? For centuries, Archimedes treatise called<br \/>\n          the Stomachion, only fragments of which survive, has fascinated, well,<br \/>\n          people who are fascinated by ancient Greek mathmatical mysteries.<\/p>\n<p>        Now a historian of mathmatics professor at Stanford has combined archeology,<br \/>\n          manuscript restoration and mathmatical thoerizing to finally figure<br \/>\n          out what the old<br \/>\n      guy was after.&nbsp;Turns out the Stomachion was all about inventing &quot;combinatorics&quot;,<br \/>\n      the next practicioner of which wouldn&#8217;t take up the cause for almost 2200<br \/>\n      years&#8230;.<\/em><\/font><font color=\"#000000\"><\/p>\n<p>        It was chance that led Dr. Netz to his first insight into the nature<br \/>\n        of the Stomachion. Last August, he says, just as he was about to start<br \/>\n        transcribing one of the manuscript pages, he got a gift in the mail,<br \/>\n        a blue cut-glass model of a Stomachion puzzle. It was made by a retired<br \/>\n        businessman from California who found Dr. Netz on the Internet as a renowned<br \/>\n        Archimedes scholar. Looking at the model, Dr. Netz realized that a diagram<br \/>\n        on the page he was transcribing was actually a rearrangement of the pieces<br \/>\n        of the Stomachion puzzle. Suddenly, he understood what Archimedes was<br \/>\n        getting at.<\/p>\n<p>        The diagram involved 14 pieces, and the word &quot;multitude&quot; seemed<br \/>\n        to be associated with it. Mr. Heiberg and those who followed him thought<br \/>\n        this meant that you could get many figures by rearranging the pieces.<\/p>\n<p>        &quot;This is part of the reason people didn&#8217;t see what it was about,&quot; Dr.<br \/>\n        Netz said. But the old interpretation seemed trivial, hardly worth Archimedes&#8217;<br \/>\n        time. As he examined the manuscript pages, piecing together their text,<br \/>\n        he realized that what Archimedes was really asking seemed to be, &quot;How<br \/>\n        many ways can you put the pieces together to make a square?&quot; That<br \/>\n        question, Dr. Netz said, &quot;has mathematical meaning.&quot;<\/p>\n<p>        &quot;People assumed there wasn&#8217;t any combinatorics in antiquity,&quot; he<br \/>\n        went on. &quot;So it didn&#8217;t trigger the observation when Archimedes says<br \/>\n        there are many arrangements and he will calculate them. But that&#8217;s what<br \/>\n        Archimedes did; his introductions are always to the point.&quot;<\/font><\/p>\n<p><font color=\"#000000\">from <a href=\"http:\/\/www.nytimes.com\/2003\/12\/14\/science\/14MATH.html?ex=1386738000&amp;en=15b0686d91c7e360&amp;ei=5007&amp;partner=USERLAND\">the<br \/>\n          New York Times<\/a> <\/font><\/p>\n<\/td>\n<\/tr>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Is it a children&#8217;s game? Is it an obscure orgami design? Is it some sort of Ancient Greek Rubik&#8217;s Cube? For centuries, Archimedes treatise called the Stomachion, only fragments of which survive, has fascinated, well, people who are fascinated by &hellip; <a href=\"https:\/\/archive.blogs.harvard.edu\/dowbrigade\/2003\/12\/14\/next-years-hot-christmas-puzzle\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":299,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1443],"tags":[],"class_list":["post-1833","post","type-post","status-publish","format-standard","hentry","category-esl-links"],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/archive.blogs.harvard.edu\/dowbrigade\/wp-json\/wp\/v2\/posts\/1833","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/archive.blogs.harvard.edu\/dowbrigade\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/archive.blogs.harvard.edu\/dowbrigade\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/archive.blogs.harvard.edu\/dowbrigade\/wp-json\/wp\/v2\/users\/299"}],"replies":[{"embeddable":true,"href":"https:\/\/archive.blogs.harvard.edu\/dowbrigade\/wp-json\/wp\/v2\/comments?post=1833"}],"version-history":[{"count":0,"href":"https:\/\/archive.blogs.harvard.edu\/dowbrigade\/wp-json\/wp\/v2\/posts\/1833\/revisions"}],"wp:attachment":[{"href":"https:\/\/archive.blogs.harvard.edu\/dowbrigade\/wp-json\/wp\/v2\/media?parent=1833"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/archive.blogs.harvard.edu\/dowbrigade\/wp-json\/wp\/v2\/categories?post=1833"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/archive.blogs.harvard.edu\/dowbrigade\/wp-json\/wp\/v2\/tags?post=1833"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}