{"id":5249,"date":"2010-12-06T23:21:02","date_gmt":"2010-12-07T04:21:02","guid":{"rendered":"http:\/\/blog.kenperlin.com\/?p=5249"},"modified":"2010-12-07T01:01:24","modified_gmt":"2010-12-07T06:01:24","slug":"5249","status":"publish","type":"post","link":"http:\/\/blog.kenperlin.com\/?p=5249","title":{"rendered":"Journeys in dreams are never finished"},"content":{"rendered":"<p>Inspired by Vi Hart&#8217;s post about <a href=http:\/\/vihart.com\/blog\/apollonian-gasket\/ target=1>3D printing an Apollonian gasket<\/a>, I started to wonder whether it would be possible to get to that deeply Apollonian form through something more, well, Dionysian.<\/p>\n<p>After Xiao mentioned <a href=http:\/\/en.wikipedia.org\/wiki\/Zhuang_Zhou target=1>Zhuangzi&#8217;s lovely dream of the butterfly<\/a> yesterday, I started thinking about the relationship (which has been discussed by many philosophers) between Dionysus, the god of beautiful chaos, and Apollo, the god of rational beauty.<\/p>\n<p>And I decided I would take a butterfly on a journey to attain a state of Apollonian perfection, but only after it has traveled through the chaos of dreams.<\/p>\n<p>After playing around with some fractal programming, I found a suitable way to create and transform a mathematically defined butterfly (click on the image below to see the result).  The cycle repeats endlessly because, of course, journeys in dreams are never finished.<br \/>\n<center><br \/>\n<a href=http:\/\/mrl.nyu.edu\/~perlin\/ibutterfly target=1><img decoding=\"async\" src=\"http:\/\/blog.kenperlin.com\/wp-content\/uploads\/2010\/12\/butterfly.jpg\"><\/a><br \/>\n<br \/>\n<\/center><br \/>\n&nbsp; <\/p>\n<p>\n","protected":false},"excerpt":{"rendered":"<p>Inspired by Vi Hart&#8217;s post about 3D printing an Apollonian gasket, I started to wonder whether it would be possible to get to that deeply Apollonian form through something more, well, Dionysian. After Xiao mentioned Zhuangzi&#8217;s lovely dream of the butterfly yesterday, I started thinking about the relationship (which has been discussed by many philosophers) &hellip; <a href=\"http:\/\/blog.kenperlin.com\/?p=5249\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Journeys in dreams are never finished&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"_links":{"self":[{"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/posts\/5249"}],"collection":[{"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5249"}],"version-history":[{"count":14,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/posts\/5249\/revisions"}],"predecessor-version":[{"id":5263,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/posts\/5249\/revisions\/5263"}],"wp:attachment":[{"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5249"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5249"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5249"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}