{"id":66,"date":"2007-02-06T08:45:14","date_gmt":"2007-02-06T16:45:14","guid":{"rendered":"http:\/\/www.otherthings.com\/blog2\/?p=66"},"modified":"2011-10-29T22:29:21","modified_gmt":"2011-10-30T05:29:21","slug":"more-math-art","status":"publish","type":"post","link":"https:\/\/otherthings.com\/blog\/2007\/02\/more-math-art\/","title":{"rendered":"More math art"},"content":{"rendered":"<p>Welcome <a target=\"_new\" href=\"http:\/\/www.metafilter.com\/58375\/Graffitti-Archaeology-and-the-Best-Homework-Ever\">MeFites<\/a> and <a target=\"_new\" href=\"http:\/\/www.digg.com\/general_sciences\/Best_homework_EVER\">Diggers<\/a>!  Since you folks are here looking for <a target=\"_new\" href=\"http:\/\/www.brownalumnimagazine.com\/storydetail.cfm?ID=907\">homework<\/a>, I thought I&#8217;d dig up some other old ones I did for Prof. Banchoff&#8217;s calculus class.  This one isn&#8217;t quite as involved as that other polynomial, but it was still fun to draw:<\/p>\n<p><a href=\"http:\/\/www.otherthings.com\/blog\/images\/math35_2a.jpg\"><img loading=\"lazy\" decoding=\"async\" alt=\"math35_2a_detail.jpg\" border=0 src=\"http:\/\/www.otherthings.com\/blog\/images\/math35_2a_detail.jpg\" width=\"450\" height=\"398\" \/><\/a><br \/><i><font size=-2>Detail.  Click for the full page.<\/font><\/i><\/p>\n<p>This is a visualization of some level surfaces of the equation G(x,y,z) = (4-x^2-y^2-z^2)*((x-c)^2+y^2).  Another way to think of it  is as the product of two distance fields, one from a sphere, and the other from a line, where the line&#8217;s distance from the center of the sphere is given by <b>c<\/b>.  I don&#8217;t have an exact date for this, but it would have been sometime in the fall of 1988.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Welcome MeFites and Diggers! Since you folks are here looking for homework, I thought I&#8217;d dig up some other old ones I did for Prof. Banchoff&#8217;s calculus class. This one isn&#8217;t quite as involved as that other polynomial, but it was still fun to draw: Detail. Click for the full page. This is a visualization &hellip; <a href=\"https:\/\/otherthings.com\/blog\/2007\/02\/more-math-art\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">More math art<\/span> <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":[13],"tags":[],"class_list":["post-66","post","type-post","status-publish","format-standard","hentry","category-math-art"],"_links":{"self":[{"href":"https:\/\/otherthings.com\/blog\/wp-json\/wp\/v2\/posts\/66","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/otherthings.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/otherthings.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/otherthings.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/otherthings.com\/blog\/wp-json\/wp\/v2\/comments?post=66"}],"version-history":[{"count":2,"href":"https:\/\/otherthings.com\/blog\/wp-json\/wp\/v2\/posts\/66\/revisions"}],"predecessor-version":[{"id":431,"href":"https:\/\/otherthings.com\/blog\/wp-json\/wp\/v2\/posts\/66\/revisions\/431"}],"wp:attachment":[{"href":"https:\/\/otherthings.com\/blog\/wp-json\/wp\/v2\/media?parent=66"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/otherthings.com\/blog\/wp-json\/wp\/v2\/categories?post=66"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/otherthings.com\/blog\/wp-json\/wp\/v2\/tags?post=66"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}