{"id":149150,"date":"2016-12-23T00:00:00","date_gmt":"2016-12-23T00:00:00","guid":{"rendered":"https:\/\/www.secretenergy.com\/?p=149150"},"modified":"2019-10-05T11:22:35","modified_gmt":"2019-10-05T11:22:35","slug":"the-math-and-magic-of-muqarnas","status":"publish","type":"post","link":"https:\/\/secretenergy.com\/the-math-and-magic-of-muqarnas\/","title":{"rendered":"The Math and Magic of Muqarnas"},"content":{"rendered":"<p style=\"line-height: 1; text-align: center;\"><span style=\"font-family: 'Open Sans';\">A style of architectural ornamentation that dates back to the middle of the 10th century, originating in Iran and North Africa, Muqarnas compositions are 3D manifestations of 2D Islamic geometric designs, meaning these insanely complex designs were made using nothing more than a humble compass and ruler.<\/span><\/p>\n<p style=\"line-height: 1; text-align: center;\"><span style=\"font-family: 'Open Sans';\">In our world of digital manufacturing, it\u2019s hard to imagine these intricate, perfect geometries were made by hand, one unit at a time, hundreds of years ago.<\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><img decoding=\"async\" style=\"width: 600px; display: block; margin: 0px auto;\" src=\"https:\/\/cdn2.hubspot.net\/hubfs\/4439753\/topkapi-scroll-600x308.gif\" alt=\"topkapi-scroll-600x308\" width=\"600\" \/><\/span><\/p>\n<p style=\"text-align: center; line-height: 1;\"><span style=\"font-family: 'Open Sans';\">In this picture, you can see the wood scaffolding and cement used to piece one style of Muqarnas together:<\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><img decoding=\"async\" style=\"width: 600px; display: block; margin: 0px auto;\" src=\"https:\/\/cdn2.hubspot.net\/hubfs\/4439753\/muqarnas-scaffolding-620x318.jpg\" alt=\"muqarnas-scaffolding-620x318\" width=\"600\" \/><\/span><\/p>\n<p style=\"text-align: center; line-height: 1;\"><span style=\"font-family: 'Open Sans';\">And what the finished product would look like:<\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><img decoding=\"async\" style=\"width: 600px; margin: 0px auto; display: block;\" src=\"https:\/\/cdn2.hubspot.net\/hubfs\/4439753\/Shah-e-Cheragh-glassy-abby-620x465.jpg\" alt=\"Shah-e-Cheragh-glassy-abby-620x465\" width=\"600\" \/><\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><img decoding=\"async\" style=\"width: 600px; margin: 0px auto; display: block;\" src=\"https:\/\/cdn2.hubspot.net\/hubfs\/4439753\/alhambra-e1479720075706-620x436.jpg\" alt=\"alhambra-e1479720075706-620x436\" width=\"600\" \/><\/span><\/p>\n<p style=\"line-height: 1; text-align: left;\"><span style=\"font-family: 'Open Sans';\">Each Muqarnas composition has five common qualities:<\/span><\/p>\n<p style=\"text-align: left; line-height: 1;\"><span style=\"font-family: 'Open Sans';\">1. <\/span>A three-dimensional<span style=\"font-family: 'Open Sans';\"> shape that can readily be flattened into a two-dimensional geometric outline (and begins as such)<\/span><\/p>\n<p style=\"text-align: left; line-height: 1;\"><span style=\"font-family: 'Open Sans';\">2. <\/span>The depth<span style=\"font-family: 'Open Sans';\"> of design is variable and determined entirely by the maker<\/span><\/p>\n<p style=\"text-align: left; line-height: 1;\"><span style=\"font-family: 'Open Sans';\">3. Simultaneously architectural and ornamental by nature<\/span><\/p>\n<p style=\"text-align: left; line-height: 1;\"><span style=\"background-color: transparent; font-family: 'Open Sans';\">4. No intrinsic logical or mathematical boundaries so can be scaled ad infinitum<\/span><\/p>\n<p style=\"text-align: left; line-height: 1;\"><span style=\"background-color: transparent; font-family: 'Open Sans';\">5. Consists of stacked tiers made up of cells, each of which has a facet and a roof of sorts<\/span><\/p>\n<article id=\"post-149150\" class=\"clearfix post-149150 post type-post status-publish format-standard has-post-thumbnail hentry category-lifestyle category-news tag-design tag-geometric tag-geometry tag-heirloom-tech tag-iran tag-islamic tag-muqarnas\">\n<div class=\"article-content\">\n<p style=\"text-align: left; line-height: 1;\"><span style=\"font-family: 'Open Sans';\">UK-based author, educator, and artist Eric Broug is a renowned scholar on Islamic geometrics who has made it his mission to spread the knowledge and joy of muqarnas through his workshops, lectures, books, and tutorials, all housed under the\u00a0<strong><a href=\"https:\/\/sigd.teachable.com\/\">School of Islamic Geometric Design.<\/a><\/strong>\u00a0\u00a0<span style=\"background-color: transparent;\">Be sure to check out the<\/span><span style=\"background-color: transparent;\">\u00a0<\/span><strong><a style=\"background-color: transparent;\" href=\"https:\/\/sigd.teachable.com\/p\/teacher-sigd-course\">Resources page<\/a><\/strong><span style=\"background-color: transparent;\">, which features tutorials as well as a teacher guide.\u00a0<\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n<p style=\"line-height: 1; text-align: center;\"><span style=\"font-family: 'Open Sans';\">Broug has also created a fascinating\u00a0TED-Ed video\u00a0on the complex geometry of Islamic design that\u2019s definitely worth a watch.<\/span><\/p>\n<p style=\"line-height: 1; text-align: center;\"><span style=\"background-color: transparent; font-family: 'Open Sans';\">His \u201cPractical Introduction to Muqarnas\u201d gives a great, illustrative overview:<\/span><\/p>\n<p style=\"text-align: center;\"><iframe loading=\"lazy\" src=\"https:\/\/www.youtube.com\/embed\/GH7N38vX-6I\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p style=\"line-height: 1; text-align: center;\"><span style=\"font-family: 'Open Sans';\">It\u2019s all about carefully arranging the pieces of the composition.<\/span><\/p>\n<p style=\"line-height: 1; text-align: center;\"><span style=\"font-family: 'Open Sans';\">Watch three minutes of Nhari assembling a Muqarnas composition and realize how incredibly painstaking the process would be for a large-scale area:<\/span><\/p>\n<p style=\"text-align: center;\"><iframe loading=\"lazy\" src=\"https:\/\/www.youtube.com\/embed\/_ZXeH06kIwI\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p style=\"text-align: center; line-height: 1;\"><span style=\"font-family: 'Open Sans';\">How to hand-carve each of the pieces, as artisans have done for centuries:<\/span><\/p>\n<h3 style=\"text-align: center;\"><iframe loading=\"lazy\" src=\"https:\/\/www.youtube.com\/embed\/-wXnqdl0-Xk\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/h3>\n<h3 style=\"text-align: center;\"><span style=\"font-family: 'Open Sans';\">The 2D Behind the 3D<\/span><\/h3>\n<p style=\"line-height: 1; text-align: center;\"><span style=\"font-family: 'Open Sans';\">For example, here\u2019s the Iwan (the large, arched entrance) of the Jameh Mosque in Yazd, Iran:<\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/9.jpg\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149169\" style=\"width: 600px; display: block; margin: 0px auto;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/9.jpg\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/9.jpg 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/9-300x225.jpg 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/9-600x450.jpg 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/9.jpg 620w\" alt=\"9\" width=\"600\" \/><\/a><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: 'Open Sans';\">And Takahashi\u2019s line drawing:<\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/10.gif\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149170\" style=\"width: 600px; display: block; margin: 0px auto;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/10.gif\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/10.gif 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/10-300x154.gif 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/10-600x308.gif 600w\" alt=\"10\" width=\"600\" \/><\/a><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: 'Open Sans';\">And a closeup of the Iwan ceiling:<\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/11.jpg\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149171\" style=\"width: 600px; display: block; margin: 0px auto;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/11.jpg\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/11.jpg 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/11-300x160.jpg 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/11-600x320.jpg 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/11.jpg 620w\" alt=\"11\" width=\"600\" \/><\/a><\/span><\/p>\n<h1 style=\"text-align: center; line-height: 1;\"><span style=\"font-size: 18pt; font-family: 'Open Sans';\">Infinite Material Possibilities<\/span><\/h1>\n<p style=\"text-align: left; line-height: 1;\"><span style=\"font-family: 'Open Sans';\">The beauty of such intricate designs based on classic geometries is that they\u2019re infinitely scalable in a vast array of materials.\u00a0 No picture can capture how amazing it is to physically be standing under a giant muqarnas composition.\u00a0 Each material inspires a different effect.\u00a0 The most surreal, perhaps, are the mirror-encrusted muqarnas, most often found in mosques and shrines.\u00a0 Even though you\u2019re surrounded by mirrors, the angles and small size of the individual pieces make it so you never see a reflection, only brightness, <\/span>and<span style=\"font-family: 'Open Sans';\"> light.<\/span><\/p>\n<h3 style=\"text-align: center;\"><span style=\"font-family: 'Open Sans';\"><strong><span style=\"font-size: 14pt;\">Plaster<\/span><\/strong><\/span><\/h3>\n<p style=\"text-align: center;\"><span style=\"font-family: 'Open Sans';\">Fatimah Masumeh Shrine in Qom:<\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/12.jpg\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149172\" style=\"width: 600px; display: block; margin: 0px auto;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/12.jpg\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/12.jpg 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/12-300x187.jpg 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/12-600x375.jpg 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/12.jpg 620w\" alt=\"12\" width=\"600\" \/><\/a><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: 'Open Sans';\">Water Museum in Yazd:<\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/13.jpg\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149173\" style=\"width: 600px; display: block; margin: 0px auto;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/13.jpg\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/13.jpg 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/13-150x150.jpg 150w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/13-300x300.jpg 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/13-600x600.jpg 600w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/13-90x90.jpg 90w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/13.jpg 620w\" alt=\"13\" width=\"600\" \/><\/a><\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/14.jpg\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149174\" style=\"width: 600px; display: block; margin: 0px auto;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/14.jpg\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/14.jpg 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/14-300x246.jpg 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/14-600x493.jpg 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/14.jpg 620w\" alt=\"14\" width=\"600\" \/><\/a><\/span><\/p>\n<p style=\"text-align: center; line-height: 1;\"><span style=\"font-family: 'Open Sans';\">Hand-painted, in one of the luxury suites at the Abbasi Hotel in Isfahan:<\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/15.jpg\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149175\" style=\"width: 600px; display: block; margin: 0px auto;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/15.jpg\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/15.jpg 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/15-300x225.jpg 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/15-600x450.jpg 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/15.jpg 620w\" alt=\"15\" width=\"600\" \/><\/a><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: 'Open Sans';\"><strong><span style=\"font-size: 14pt;\">Tile<\/span><\/strong><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: 'Open Sans';\">The Shah Mosque in Isfahan:<\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/17.jpg\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149177\" style=\"width: 600px; display: block; margin: 0px auto;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/17.jpg\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/17.jpg 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/17-300x225.jpg 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/17-600x450.jpg 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/17.jpg 620w\" alt=\"17\" width=\"600\" \/><\/a><\/span><\/p>\n<p style=\"line-height: 1; text-align: center;\"><span style=\"font-family: 'Open Sans';\"><em>Be sure to take a look at\u00a0<strong><a href=\"https:\/\/en.wikipedia.org\/wiki\/File:Isfahan_1200996_nevit.jpg\" target=\"_blank\" rel=\"noopener\">Nevit Dilman\u2019s super-high-resolution image<\/a>\u00a0<\/strong>on Wikipedia, where you can really zoom in and see all the glorious details.<\/em><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: 'Open Sans';\">The Jameh Mosque in Yazd:<\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/18.jpg\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149178\" style=\"width: 600px; display: block; margin: 0px auto;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/18.jpg\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/18.jpg 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/18-300x225.jpg 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/18-600x450.jpg 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/18.jpg 620w\" alt=\"18\" width=\"600\" \/><\/a><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: 'Open Sans';\">Poet Hafiz\u2019s Shrine in Shiraz:<\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/19.jpg\"><img decoding=\"async\" class=\"alignnone size-full wp-image-149192\" style=\"width: 600px; display: block; margin: 0px auto;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/19.jpg\" sizes=\"(max-width: 511px) 100vw, 511px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/19.jpg 511w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/19-300x232.jpg 300w\" alt=\"19\" width=\"600\" \/><\/a><\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/20.jpg\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149193\" style=\"width: 600px; display: block; margin: 0px auto;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/20.jpg\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/20.jpg 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/20-300x247.jpg 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/20-600x494.jpg 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/20.jpg 620w\" alt=\"20\" width=\"600\" \/><\/a><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: 'Open Sans';\"><strong><span style=\"font-size: 14pt;\">Brick<\/span><\/strong><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: 'Open Sans';\">Jameh Mosque in Yazd:<\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/21.jpg\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149194\" style=\"width: 600px; display: block; margin: 0px auto;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/21.jpg\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/21.jpg 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/21-300x225.jpg 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/21-600x450.jpg 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/21.jpg 620w\" alt=\"21\" width=\"600\" \/><\/a><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/22.jpg\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149195\" style=\"margin: 20px auto 0px; width: 600px; display: block;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/22.jpg\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/22.jpg 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/22-300x225.jpg 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/22-600x450.jpg 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/22.jpg 620w\" alt=\"22\" width=\"600\" \/><\/a><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: 'Open Sans';\"><strong><span style=\"font-size: 14pt;\">Mirrored<\/span><\/strong><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: 'Open Sans';\">Fatimah Masoumeh Shrine in Qom:<\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/23.jpg\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149197\" style=\"margin: 0px auto; width: 600px; display: block;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/23.jpg\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/23.jpg 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/23-300x192.jpg 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/23-600x384.jpg 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/23.jpg 620w\" alt=\"23\" width=\"600\" \/><\/a><\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/24.jpg\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149198\" style=\"margin: 0px auto; width: 600px; display: block;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/24.jpg\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/24.jpg 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/24-300x225.jpg 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/24-600x450.jpg 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/24.jpg 620w\" alt=\"24\" width=\"600\" \/><\/a><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: 'Open Sans';\">Chehel Sotun Palace in Isfahan:<\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/25.jpg\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149199\" style=\"margin: 0px auto; width: 600px; display: block;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/25.jpg\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/25.jpg 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/25-300x225.jpg 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/25-600x450.jpg 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/25.jpg 620w\" alt=\"25\" width=\"600\" \/><\/a><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/26.jpg\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149200\" style=\"margin: 20px auto 0px; width: 600px; display: block;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/26.jpg\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/26.jpg 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/26-300x225.jpg 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/26-600x450.jpg 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/26.jpg 620w\" alt=\"26\" width=\"600\" \/><\/a><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: 'Open Sans';\">Shah-e Cheragh Shrine in Shiraz:<\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/27.jpg\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149201\" style=\"margin: 0px auto; width: 600px; display: block;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/27.jpg\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/27.jpg 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/27-300x225.jpg 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/27-600x450.jpg 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/27.jpg 620w\" alt=\"27\" width=\"600\" \/><\/a><\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/28.jpg\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149202\" style=\"width: 600px; margin: 0px auto; display: block;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/28.jpg\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/28.jpg 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/28-300x168.jpg 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/28-600x337.jpg 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/28.jpg 620w\" alt=\"28\" width=\"600\" \/><\/a><\/span><\/p>\n<p style=\"text-align: center; line-height: 1;\"><span style=\"font-family: 'Open Sans';\"><strong><span style=\"font-size: 14pt;\">Wood<\/span><\/strong><\/span><\/p>\n<p style=\"text-align: center; line-height: 1;\"><span style=\"font-family: 'Open Sans';\">The Music Room of the Ali Qapu Palace in Isfahan (photographed by Mohammad Reza Domiri Ganji):<\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/29.jpg\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149203\" style=\"width: 600px; display: block; margin: 0px auto;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/29.jpg\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/29.jpg 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/29-300x200.jpg 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/29-600x401.jpg 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/29.jpg 620w\" alt=\"29\" width=\"600\" \/><\/a><\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/30.jpg\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149205\" style=\"width: 600px; display: block; margin: 0px auto;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/30.jpg\" sizes=\"(max-width: 341px) 100vw, 341px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/30.jpg 341w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/30-200x300.jpg 200w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/30-600x901.jpg 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/30.jpg 620w\" alt=\"30\" width=\"600\" \/><\/a><\/span><\/p>\n<p style=\"text-align: center; line-height: 1;\"><span style=\"font-family: 'Open Sans';\">A great assembly shot from a style of wooden Muqarnas on\u00a0<a href=\"https:\/\/muqarna.blogspot.com\/2015\/09\/muqarnas.html\" target=\"_blank\" rel=\"noopener\">this site<\/a>:<\/span><\/p>\n<p style=\"line-height: 1;\"><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/31.jpg\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149206\" style=\"width: 600px; display: block; margin: 0px auto;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/31.jpg\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/31.jpg 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/31-300x225.jpg 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/31-600x450.jpg 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/31.jpg 620w\" alt=\"31\" width=\"600\" \/><\/a><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: 'Open Sans';\"><strong><span style=\"font-size: 14pt;\">Gold<\/span><\/strong><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: 'Open Sans';\">Fatimah Masumeh Shrine in Qom:<\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/32.jpg\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149207\" style=\"width: 600px; display: block; margin: 0px auto;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/32.jpg\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/32.jpg 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/32-300x225.jpg 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/32-600x450.jpg 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/32.jpg 620w\" alt=\"32\" width=\"600\" \/><\/a><\/span><\/p>\n<h3 style=\"line-height: 1; text-align: center;\"><span style=\"font-size: 18pt; font-family: 'Open Sans';\">Modern Rendition: Gadeken\u2019s Roshanai<\/span><\/h3>\n<p style=\"line-height: 1; text-align: center;\"><span style=\"font-family: 'Open Sans';\">Great things happen when makers incorporate ancient designs into modern works.<\/span><\/p>\n<p style=\"line-height: 1; text-align: center;\"><span style=\"font-family: 'Open Sans';\">Bay Area artist\u00a0Charles Gadeken\u00a0recently incorporated\u00a0<strong><a href=\"https:\/\/www.kickstarter.com\/projects\/aurora\/roshanai-illuminate-for-burning-man-2016\/posts\/1648350\" target=\"_blank\" rel=\"noopener\">metal Muqarnas compositions<\/a>\u00a0<\/strong>in the entryways of his latest large-scale piece, entitled\u00a0<em>Roshanai<\/em>\u00a0(meaning\u00a0<em>illuminate<\/em>), a 108-ft long tunnel of light and sound.<\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/33.jpeg\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149208\" style=\"width: 600px; display: block; margin: 0px auto;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/33.jpeg\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/33.jpeg 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/33-300x200.jpeg 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/33-600x400.jpeg 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/33.jpeg 620w\" alt=\"33\" width=\"600\" \/><\/a><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: 'Open Sans';\">Here\u2019s the 3D rendering of the entryway:<\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/34.png\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149209\" style=\"width: 600px; display: block; margin: 0px auto;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/34.png\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/34.png 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/34-300x208.png 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/34-600x415.png 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/34.png 620w\" alt=\"34\" width=\"600\" \/><\/a><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: 'Open Sans';\">The flattened Geometry:<\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/35.png\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149210\" style=\"width: 600px; display: block; margin: 0px auto;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/35.png\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/35.png 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/35-300x262.png 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/35-600x525.png 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/35.png 620w\" alt=\"35\" width=\"600\" \/><\/a><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: 'Open Sans';\">A section of the metal Muqarnas:<\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/36.jpeg\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149211\" style=\"width: 600px; display: block; margin: 0px auto;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/36.jpeg\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/36.jpeg 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/36-300x225.jpeg 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/36-600x450.jpeg 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/36.jpeg 620w\" alt=\"36\" width=\"600\" \/><\/a><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: 'Open Sans';\">And the finished product at night:<\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/37.jpeg\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149212\" style=\"width: 600px; display: block; margin: 0px auto;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/37.jpeg\" sizes=\"(max-width: 341px) 100vw, 341px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/37.jpeg 341w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/37-200x300.jpeg 200w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/37-600x900.jpeg 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/37.jpeg 620w\" alt=\"37\" width=\"600\" \/><\/a><\/span><\/p>\n<p style=\"line-height: 1; text-align: center;\"><span style=\"font-family: 'Open Sans';\">We\u2019ll wrap up with one more Muqarnas just for the sake of eye candy.<\/span><\/p>\n<p style=\"line-height: 1; text-align: center;\"><span style=\"font-family: 'Open Sans';\">I\u2019d love to see the Alhambra, particularly the Muqarnas, in the Hall of the Two Sisters.<\/span><\/p>\n<p style=\"line-height: 1; text-align: center;\"><span style=\"font-family: 'Open Sans';\">Wow!<\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><em><img decoding=\"async\" style=\"width: 600px; display: block; margin: 0px auto;\" src=\"https:\/\/cdn2.hubspot.net\/hubfs\/4439753\/quaranas.jpg\" alt=\"quaranas\" width=\"600\" \/><\/em><\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/38.jpg\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149214\" style=\"width: 600px; display: block; margin: 0px auto;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/38.jpg\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/38.jpg 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/38-300x213.jpg 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/38-600x426.jpg 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/38.jpg 620w\" alt=\"38\" width=\"600\" \/><\/a><\/span><\/p>\n<p><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/39.jpg\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-149215\" style=\"width: 600px; display: block; margin: 0px auto;\" src=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/39.jpg\" sizes=\"(max-width: 512px) 100vw, 512px\" srcset=\"https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/39.jpg 512w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/39-300x225.jpg 300w, https:\/\/www.secretenergy.com\/wp-content\/uploads\/2016\/12\/39-600x450.jpg 600w, https:\/\/secretenergy.com\/wp-content\/uploads\/2019\/10\/39.jpg 620w\" alt=\"39\" width=\"600\" \/><\/a><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: 'Open Sans';\">Check out one of our <strong><a href=\"https:\/\/www.secretenergy.com\/product\/language-and-symbolism-s2\/\">Secret Energy courses<\/a><\/strong>\u00a0to learn about how classic geometries relate to the building blocks of life.<\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: 'Open Sans';\"><a href=\"https:\/\/www.secretenergy.com\/illustrations\/mathematics\/mandelbulb\/\">Go on a Mandelbulb \/ Mandelbox Trip here!<\/a><\/span><\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<\/div>\n<\/article>\n","protected":false},"excerpt":{"rendered":"<p>A style of architectural ornamentation that dates back to the middle of the 10th century, originating in Iran and North Africa, Muqarnas compositions are 3D manifestations of 2D Islamic geometric designs, meaning these insanely complex designs were made using nothing more than a humble compass and ruler. In our world of digital manufacturing, it\u2019s hard &hellip; <a href=\"https:\/\/secretenergy.com\/the-math-and-magic-of-muqarnas\/\">Continued<\/a><\/p>\n","protected":false},"author":2,"featured_media":268518,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"subtitle":"","web1url":"","linkedin_url":"","fburl":"","twitterurl":"","instagram":"","youtubeurl":"","tags":[],"ratings_average":"","ratings_users":"","sc_name":"","sc_title":"","sc_description":"","sc_social_links_instagram":"","sc_social_links_secretenergy":"","sc_social_links_youtube":"","footnotes":""},"categories":[969],"tags":[1453,1225,1454,1455,1456,1457,1458],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v21.5 (Yoast SEO v21.5) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The Math and Magic of Muqarnas &#8226; Secret Energy<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/secretenergy.com\/the-math-and-magic-of-muqarnas\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The Math and Magic of Muqarnas\" \/>\n<meta property=\"og:description\" content=\"A style of architectural ornamentation that dates back to the middle of the 10th century, originating in Iran and North Africa, Muqarnas compositions are 3D manifestations of 2D Islamic geometric designs, meaning these insanely complex designs were made using nothing more than a humble compass and ruler. 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