{"id":14861,"date":"2015-12-17T23:18:41","date_gmt":"2015-12-18T04:18:41","guid":{"rendered":"http:\/\/shuffly.net\/zoop\/?p=14861"},"modified":"2015-12-18T09:26:33","modified_gmt":"2015-12-18T14:26:33","slug":"recursive-excursions","status":"publish","type":"post","link":"http:\/\/shuffly.net\/zoop\/recursive-excursions\/","title":{"rendered":"Recursive excursions"},"content":{"rendered":"<p><a href=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-5.jpg\" rel=\"attachment wp-att-14856\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-5-640x640.jpg\" alt=\"Fractal domains\" width=\"640\" height=\"640\" class=\"aligncenter size-medium wp-image-14856\" srcset=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-5-640x640.jpg 640w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-5-150x150.jpg 150w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-5-768x768.jpg 768w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-5-624x624.jpg 624w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-5.jpg 1000w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 984px) 61vw, (max-width: 1362px) 45vw, 600px\" \/><\/a><\/p>\n<p>I recently checked out some more fractal generators for Macs. The most capable of this batch was <a href=\"http:\/\/www.fractaldomains.com\" target=\"_blank\">Fractal Domains<\/a>, which has numerous options for stylizing and coloring the fractal. It costs $20 if you want to export the results, though you can grab screen captures if you&#8217;re really cheap. The creator&#8217;s to-do list includes adding the capability of recording animations, but that is probably two updates away.<\/p>\n<figure id=\"attachment_14853\" aria-describedby=\"caption-attachment-14853\" style=\"width: 640px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/Fractal-Domain-1.jpg\" rel=\"attachment wp-att-14853\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/Fractal-Domain-1-640x380.jpg\" alt=\"Fractal Domains\" width=\"640\" height=\"380\" class=\"size-medium wp-image-14853\" srcset=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/Fractal-Domain-1-640x380.jpg 640w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/Fractal-Domain-1-768x456.jpg 768w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/Fractal-Domain-1-1024x608.jpg 1024w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/Fractal-Domain-1-624x370.jpg 624w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/Fractal-Domain-1.jpg 1876w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 984px) 61vw, (max-width: 1362px) 45vw, 600px\" \/><\/a><figcaption id=\"caption-attachment-14853\" class=\"wp-caption-text\">Fractal Domains<\/figcaption><\/figure>\n<p><a href=\"http:\/\/fraqtive.mimec.org\" target=\"_blank\">Fraqtive<\/a> only does Mandelbrot and Julia sets, and it has fewer options for coloring. However, it&#8217;s free. The most recent version is capable of recording animations, but that version hasn&#8217;t been ported to the Mac yet.<\/p>\n<figure id=\"attachment_14859\" aria-describedby=\"caption-attachment-14859\" style=\"width: 640px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraq3.jpg\" rel=\"attachment wp-att-14859\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraq3-640x449.jpg\" alt=\"Fraqtive\" width=\"640\" height=\"449\" class=\"size-medium wp-image-14859\" srcset=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraq3-640x449.jpg 640w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraq3-768x539.jpg 768w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraq3-1024x718.jpg 1024w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraq3-624x438.jpg 624w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraq3.jpg 1574w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 984px) 61vw, (max-width: 1362px) 45vw, 600px\" \/><\/a><figcaption id=\"caption-attachment-14859\" class=\"wp-caption-text\">Fraqtive<\/figcaption><\/figure>\n<p>The images <a href=\"http:\/\/www.fractalarchitect.net\" target=\"_blank\">Fractal Architect<\/a> generates look more like abstract expressionism than mathematics. There is a free version, but it has severe limits on exporting. The interface is confusing, and trial-and-error doesn&#8217;t quickly yield interesting results.<\/p>\n<figure id=\"attachment_14852\" aria-describedby=\"caption-attachment-14852\" style=\"width: 640px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/frarchit1.jpg\" rel=\"attachment wp-att-14852\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/frarchit1-640x640.jpg\" alt=\"Fractal Architect\" width=\"640\" height=\"640\" class=\"size-medium wp-image-14852\" srcset=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/frarchit1-640x640.jpg 640w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/frarchit1-150x150.jpg 150w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/frarchit1-768x768.jpg 768w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/frarchit1-624x624.jpg 624w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/frarchit1.jpg 886w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 984px) 61vw, (max-width: 1362px) 45vw, 600px\" \/><\/a><figcaption id=\"caption-attachment-14852\" class=\"wp-caption-text\">Fractal Architect<\/figcaption><\/figure>\n<p>Fractal Domains and Fraqtive are worth trying if you are interested in psychedelic paisley and endlessly intricate designs. However, <a href=\"http:\/\/shuffly.net\/zoop\/zooming-along\/\" target=\"_blank\">the generators I looked at previously<\/a> are probably better choices, and both of them, <a href=\"http:\/\/matek.hu\/xaos\/doku.php\" target=\"_blank\">Xaos<\/a> and <a href=\"http:\/\/www.ultrafractal.com\" target=\"_blank\">Ultra Fractal<\/a>, are capable of recording animations.<\/p>\n<p><!--more--><\/p>\n<p>More Fractal Domains:<\/p>\n<p><a href=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-4.jpg\" rel=\"attachment wp-att-14857\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-4-640x640.jpg\" alt=\"fractal domains\" width=\"640\" height=\"640\" class=\"aligncenter size-medium wp-image-14857\" srcset=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-4-640x640.jpg 640w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-4-150x150.jpg 150w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-4-768x768.jpg 768w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-4-624x624.jpg 624w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-4.jpg 997w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 984px) 61vw, (max-width: 1362px) 45vw, 600px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-2.jpg\" rel=\"attachment wp-att-14855\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-2-640x491.jpg\" alt=\"fractal domains\" width=\"640\" height=\"491\" class=\"aligncenter size-medium wp-image-14855\" srcset=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-2-640x491.jpg 640w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-2-768x589.jpg 768w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-2-1024x786.jpg 1024w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-2-624x479.jpg 624w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-2.jpg 1426w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 984px) 61vw, (max-width: 1362px) 45vw, 600px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-3.jpg\" rel=\"attachment wp-att-14854\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-3-640x426.jpg\" alt=\"fractal domains\" width=\"640\" height=\"426\" class=\"aligncenter size-medium wp-image-14854\" srcset=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-3-640x426.jpg 640w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-3-768x511.jpg 768w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-3-1024x681.jpg 1024w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-3-624x415.jpg 624w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fractal-domains-3.jpg 1663w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 984px) 61vw, (max-width: 1362px) 45vw, 600px\" \/><\/a><\/p>\n<p>More Fraqtive:<\/p>\n<p><a href=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraqtiveB1.jpg\" rel=\"attachment wp-att-14860\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraqtiveB1-640x458.jpg\" alt=\"Fraqtive\" width=\"640\" height=\"458\" class=\"aligncenter size-medium wp-image-14860\" srcset=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraqtiveB1-640x458.jpg 640w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraqtiveB1-768x549.jpg 768w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraqtiveB1-1024x733.jpg 1024w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraqtiveB1-624x446.jpg 624w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraqtiveB1.jpg 1219w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 984px) 61vw, (max-width: 1362px) 45vw, 600px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraq2.jpg\" rel=\"attachment wp-att-14858\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraq2-640x376.jpg\" alt=\"Fraqtive\" width=\"640\" height=\"376\" class=\"aligncenter size-medium wp-image-14858\" srcset=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraq2-640x376.jpg 640w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraq2-768x451.jpg 768w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraq2-1024x601.jpg 1024w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraq2-624x366.jpg 624w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraq2.jpg 1574w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 984px) 61vw, (max-width: 1362px) 45vw, 600px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraqtive2.jpg\" rel=\"attachment wp-att-14850\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraqtive2-640x435.jpg\" alt=\"Fraqtive\" width=\"640\" height=\"435\" class=\"aligncenter size-medium wp-image-14850\" srcset=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraqtive2-640x435.jpg 640w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraqtive2-768x522.jpg 768w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraqtive2-1024x695.jpg 1024w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraqtive2-624x424.jpg 624w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraqtive2.jpg 1963w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 984px) 61vw, (max-width: 1362px) 45vw, 600px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraqtive3.jpg\" rel=\"attachment wp-att-14849\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraqtive3-640x393.jpg\" alt=\"Fraqtive\" width=\"640\" height=\"393\" class=\"aligncenter size-medium wp-image-14849\" srcset=\"http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraqtive3-640x393.jpg 640w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraqtive3-768x472.jpg 768w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraqtive3-1024x629.jpg 1024w, http:\/\/shuffly.net\/zoop\/wp-content\/uploads\/2015\/12\/fraqtive3-624x383.jpg 624w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 984px) 61vw, (max-width: 1362px) 45vw, 600px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>I recently checked out some more fractal generators for Macs. The most capable of this batch was Fractal Domains, which has numerous options for stylizing and coloring the fractal. It costs $20 if you want to export the results, though you can grab screen captures if you&#8217;re really cheap. The creator&#8217;s to-do list includes adding &hellip; <a href=\"http:\/\/shuffly.net\/zoop\/recursive-excursions\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Recursive excursions&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[15],"tags":[],"class_list":["post-14861","post","type-post","status-publish","format-standard","hentry","category-mathematics"],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p4xam3-3RH","jetpack_likes_enabled":true,"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"http:\/\/shuffly.net\/zoop\/wp-json\/wp\/v2\/posts\/14861","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/shuffly.net\/zoop\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/shuffly.net\/zoop\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/shuffly.net\/zoop\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/shuffly.net\/zoop\/wp-json\/wp\/v2\/comments?post=14861"}],"version-history":[{"count":6,"href":"http:\/\/shuffly.net\/zoop\/wp-json\/wp\/v2\/posts\/14861\/revisions"}],"predecessor-version":[{"id":14868,"href":"http:\/\/shuffly.net\/zoop\/wp-json\/wp\/v2\/posts\/14861\/revisions\/14868"}],"wp:attachment":[{"href":"http:\/\/shuffly.net\/zoop\/wp-json\/wp\/v2\/media?parent=14861"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/shuffly.net\/zoop\/wp-json\/wp\/v2\/categories?post=14861"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/shuffly.net\/zoop\/wp-json\/wp\/v2\/tags?post=14861"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}