{"id":305,"date":"2020-10-23T16:49:09","date_gmt":"2020-10-23T16:49:09","guid":{"rendered":"https:\/\/mathaesthetics.com\/wp\/?p=305"},"modified":"2020-10-23T16:49:09","modified_gmt":"2020-10-23T16:49:09","slug":"fractal-friday-2020-10-23-three-warped-julia-sets","status":"publish","type":"post","link":"https:\/\/mathaesthetics.com\/wp\/fractal-friday-2020-10-23-three-warped-julia-sets\/","title":{"rendered":"Fractal Friday 2020.10.23 &#8211; three warped Julia Sets"},"content":{"rendered":"<p>Made with <a href=\"https:\/\/mathaesthetics.com\/wp\/mathpaint\/\">MathPaint<\/a>, here are three Julia Set images warped by an additional real-valued function and with some custom color mapping. The third image, using assigned color bands instead of gradients, also includes some Perlin noise mixed in. Enjoy!<\/p>\n<p>Sign up to the <a href=\"https:\/\/mailchi.mp\/40d920beb9a2\/mathpaint-news-and-tips\">MathPaint News and Tips list<\/a>\u00a0for information on the upcoming MathPaint release and occasional tips and art.<\/p>\n<p><a href=\"https:\/\/mathaesthetics.com\/wp\/wp-content\/uploads\/2020\/10\/julia_-0.550.415i_warp2.mpxml_.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-306\" src=\"https:\/\/mathaesthetics.com\/wp\/wp-content\/uploads\/2020\/10\/julia_-0.550.415i_warp2.mpxml_.png\" alt=\"\" width=\"1080\" height=\"1080\" srcset=\"https:\/\/mathaesthetics.com\/wp\/wp-content\/uploads\/2020\/10\/julia_-0.550.415i_warp2.mpxml_.png 1080w, https:\/\/mathaesthetics.com\/wp\/wp-content\/uploads\/2020\/10\/julia_-0.550.415i_warp2.mpxml_-300x300.png 300w, https:\/\/mathaesthetics.com\/wp\/wp-content\/uploads\/2020\/10\/julia_-0.550.415i_warp2.mpxml_-1024x1024.png 1024w, https:\/\/mathaesthetics.com\/wp\/wp-content\/uploads\/2020\/10\/julia_-0.550.415i_warp2.mpxml_-150x150.png 150w, https:\/\/mathaesthetics.com\/wp\/wp-content\/uploads\/2020\/10\/julia_-0.550.415i_warp2.mpxml_-768x768.png 768w\" sizes=\"auto, (max-width: 1080px) 100vw, 1080px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/mathaesthetics.com\/wp\/wp-content\/uploads\/2020\/10\/julia_-0.550.415i-warp1.mpxml_.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-307\" src=\"https:\/\/mathaesthetics.com\/wp\/wp-content\/uploads\/2020\/10\/julia_-0.550.415i-warp1.mpxml_.png\" alt=\"\" width=\"1080\" height=\"1080\" srcset=\"https:\/\/mathaesthetics.com\/wp\/wp-content\/uploads\/2020\/10\/julia_-0.550.415i-warp1.mpxml_.png 1080w, https:\/\/mathaesthetics.com\/wp\/wp-content\/uploads\/2020\/10\/julia_-0.550.415i-warp1.mpxml_-300x300.png 300w, https:\/\/mathaesthetics.com\/wp\/wp-content\/uploads\/2020\/10\/julia_-0.550.415i-warp1.mpxml_-1024x1024.png 1024w, https:\/\/mathaesthetics.com\/wp\/wp-content\/uploads\/2020\/10\/julia_-0.550.415i-warp1.mpxml_-150x150.png 150w, https:\/\/mathaesthetics.com\/wp\/wp-content\/uploads\/2020\/10\/julia_-0.550.415i-warp1.mpxml_-768x768.png 768w\" sizes=\"auto, (max-width: 1080px) 100vw, 1080px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/mathaesthetics.com\/wp\/wp-content\/uploads\/2020\/10\/julia_-0.550.415i-warp3.mpxml_.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-308\" src=\"https:\/\/mathaesthetics.com\/wp\/wp-content\/uploads\/2020\/10\/julia_-0.550.415i-warp3.mpxml_.png\" alt=\"\" width=\"1080\" height=\"1080\" srcset=\"https:\/\/mathaesthetics.com\/wp\/wp-content\/uploads\/2020\/10\/julia_-0.550.415i-warp3.mpxml_.png 1080w, https:\/\/mathaesthetics.com\/wp\/wp-content\/uploads\/2020\/10\/julia_-0.550.415i-warp3.mpxml_-300x300.png 300w, https:\/\/mathaesthetics.com\/wp\/wp-content\/uploads\/2020\/10\/julia_-0.550.415i-warp3.mpxml_-1024x1024.png 1024w, https:\/\/mathaesthetics.com\/wp\/wp-content\/uploads\/2020\/10\/julia_-0.550.415i-warp3.mpxml_-150x150.png 150w, https:\/\/mathaesthetics.com\/wp\/wp-content\/uploads\/2020\/10\/julia_-0.550.415i-warp3.mpxml_-768x768.png 768w\" sizes=\"auto, (max-width: 1080px) 100vw, 1080px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Made with MathPaint, here are three Julia Set images warped by an additional real-valued function and with some custom color mapping. The third image, using assigned color bands instead of gradients, also includes some Perlin noise mixed in. Enjoy! Sign up to the MathPaint News and Tips list\u00a0for information on the upcoming MathPaint release and [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":309,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"nf_dc_page":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[18,7,8,6,4,11,3,16,10],"tags":[104,105,109,94],"class_list":["post-305","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-art","category-fractal","category-fractalfriday","category-generative-art","category-juliaset","category-math-art","category-mathaesthetics","category-mathart","category-mathpaint","tag-fractal","tag-fractal-friday","tag-julia-set","tag-mathpaint"],"acf":[],"jetpack_featured_media_url":"https:\/\/mathaesthetics.com\/wp\/wp-content\/uploads\/2020\/10\/fractal-friday-banner.png","_links":{"self":[{"href":"https:\/\/mathaesthetics.com\/wp\/wp-json\/wp\/v2\/posts\/305","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathaesthetics.com\/wp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathaesthetics.com\/wp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathaesthetics.com\/wp\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/mathaesthetics.com\/wp\/wp-json\/wp\/v2\/comments?post=305"}],"version-history":[{"count":2,"href":"https:\/\/mathaesthetics.com\/wp\/wp-json\/wp\/v2\/posts\/305\/revisions"}],"predecessor-version":[{"id":311,"href":"https:\/\/mathaesthetics.com\/wp\/wp-json\/wp\/v2\/posts\/305\/revisions\/311"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mathaesthetics.com\/wp\/wp-json\/wp\/v2\/media\/309"}],"wp:attachment":[{"href":"https:\/\/mathaesthetics.com\/wp\/wp-json\/wp\/v2\/media?parent=305"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathaesthetics.com\/wp\/wp-json\/wp\/v2\/categories?post=305"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathaesthetics.com\/wp\/wp-json\/wp\/v2\/tags?post=305"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}