{"id":697,"date":"2008-09-03T16:00:07","date_gmt":"2008-09-03T23:00:07","guid":{"rendered":"https:\/\/www.reenigne.org\/blog\/?p=697"},"modified":"2011-08-08T15:37:44","modified_gmt":"2011-08-08T22:37:44","slug":"two-more","status":"publish","type":"post","link":"https:\/\/www.reenigne.org\/blog\/two-more\/","title":{"rendered":"Two more"},"content":{"rendered":"<p style=\"text-align: center;\"><img decoding=\"async\" class=\"centerwide\" src=\"http:\/\/www.reenigne.org\/misc\/sqrt.png\" alt=\"Square roots\" \/><\/p>\n<p>Generated by a program similar to the last two pictures on <a href=\"https:\/\/www.reenigne.org\/blog\/coloured-simplicity-density-function\">Monday's post<\/a>, but the functions are <img src='https:\/\/s0.wp.com\/latex.php?latex=%2B%5Csqrt%7Bz%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='+\\sqrt{z}' title='+\\sqrt{z}' class='latex' \/>, <img src='https:\/\/s0.wp.com\/latex.php?latex=-%5Csqrt%7Bz%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='-\\sqrt{z}' title='-\\sqrt{z}' class='latex' \/> and <img src='https:\/\/s0.wp.com\/latex.php?latex=1%2Bz&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='1+z' title='1+z' class='latex' \/>. Don't plot a point if the last operation was <img src='https:\/\/s0.wp.com\/latex.php?latex=1%2Bz&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='1+z' title='1+z' class='latex' \/>, and colour points according to the operation used 5 iterations ago.<\/p>\n<p style=\"text-align: center;\"><img decoding=\"async\" class=\"centerwide\" src=\"http:\/\/www.reenigne.org\/misc\/golden.png\" alt=\"Golden ratio\" \/><\/p>\n<p>Similar to the third image on Monday's post, but when we multiply by <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Ci&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\\i' title='\\i' class='latex' \/> we also multiply by the golden ratio <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Cfrac%7B1%7D%7B2%7D%281%2B%5Csqrt%7B5%7D%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\\displaystyle \\frac{1}{2}(1+\\sqrt{5})' title='\\displaystyle \\frac{1}{2}(1+\\sqrt{5})' class='latex' \/> = 1.618... Most the rectangles you see in this image are golden rectangles, which are supposedly the most aesthetically pleasing.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Generated by a program similar to the last two pictures on Monday's post, but the functions are , and . Don't plot a point if the last operation was , and colour points according to the operation used 5 iterations ago. Similar to the third image on Monday's post, but when we multiply by we [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[18],"tags":[],"class_list":["post-697","post","type-post","status-publish","format-standard","hentry","category-fractals"],"_links":{"self":[{"href":"https:\/\/www.reenigne.org\/blog\/wp-json\/wp\/v2\/posts\/697","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.reenigne.org\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.reenigne.org\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.reenigne.org\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.reenigne.org\/blog\/wp-json\/wp\/v2\/comments?post=697"}],"version-history":[{"count":7,"href":"https:\/\/www.reenigne.org\/blog\/wp-json\/wp\/v2\/posts\/697\/revisions"}],"predecessor-version":[{"id":703,"href":"https:\/\/www.reenigne.org\/blog\/wp-json\/wp\/v2\/posts\/697\/revisions\/703"}],"wp:attachment":[{"href":"https:\/\/www.reenigne.org\/blog\/wp-json\/wp\/v2\/media?parent=697"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reenigne.org\/blog\/wp-json\/wp\/v2\/categories?post=697"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reenigne.org\/blog\/wp-json\/wp\/v2\/tags?post=697"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}