{"id":114,"date":"2011-04-18T16:59:40","date_gmt":"2011-04-18T20:59:40","guid":{"rendered":"http:\/\/blogpilot02.vassar.edu\/nafrank\/"},"modified":"2023-03-23T16:27:08","modified_gmt":"2023-03-23T20:27:08","slug":"tiling-art","status":"publish","type":"page","link":"https:\/\/pages.vassar.edu\/nafrank\/?page_id=114","title":{"rendered":"Tiling Art"},"content":{"rendered":"<h2><\/h2>\n<h2><em>Aperiodic Tilings Exhibition at the Open University, June 2022.<\/em><\/h2>\n<p>In honor of Uwe Grimm. <a href=\"https:\/\/www.open.ac.uk\/stem\/mathematics-and-statistics\/aperiodic-tilings-gallery\">Check out all of the cool artwork<\/a> and in particular my self-similar self-portraits!<\/p>\n<h2><em>Spiral Circuit<\/em><\/h2>\n<h6>Natalie Priebe Frank, 2018.<\/h6>\n<h6>Mobile. Glass beads, acrylic, nylon thread.<\/h6>\n<h4><a href=\"https:\/\/www.facebook.com\/natalie.p.frank\/videos\/10100660024332825\/?l=3147390171425448123\">Click here for a video of the mobile in action.<\/a><\/h4>\n<div id=\"attachment_343\" style=\"width: 660px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2018\/03\/Mobile-Composite.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-343\" class=\"wp-image-343\" src=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2018\/03\/Mobile-Composite-1024x1024.jpg\" alt=\"\" width=\"650\" height=\"650\" srcset=\"https:\/\/pages.vassar.edu\/nafrank\/files\/2018\/03\/Mobile-Composite-1024x1024.jpg 1024w, https:\/\/pages.vassar.edu\/nafrank\/files\/2018\/03\/Mobile-Composite-150x150.jpg 150w, https:\/\/pages.vassar.edu\/nafrank\/files\/2018\/03\/Mobile-Composite-300x300.jpg 300w, https:\/\/pages.vassar.edu\/nafrank\/files\/2018\/03\/Mobile-Composite-768x768.jpg 768w, https:\/\/pages.vassar.edu\/nafrank\/files\/2018\/03\/Mobile-Composite.jpg 1800w\" sizes=\"auto, (max-width: 650px) 100vw, 650px\" \/><\/a><p id=\"caption-attachment-343\" class=\"wp-caption-text\">&#8220;Spiral Circuit&#8221;. A composite photo of the mobile.<\/p><\/div>\n<h2><\/h2>\n<h2>Two-Dimensional Pieces<\/h2>\n<div id=\"attachment_348\" style=\"width: 651px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2018\/03\/girltilingphoto.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-348\" class=\"wp-image-348\" src=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2018\/03\/girltilingphoto-1024x768.jpg\" alt=\"\" width=\"641\" height=\"481\" srcset=\"https:\/\/pages.vassar.edu\/nafrank\/files\/2018\/03\/girltilingphoto-1024x768.jpg 1024w, https:\/\/pages.vassar.edu\/nafrank\/files\/2018\/03\/girltilingphoto-300x225.jpg 300w, https:\/\/pages.vassar.edu\/nafrank\/files\/2018\/03\/girltilingphoto-768x576.jpg 768w\" sizes=\"auto, (max-width: 641px) 100vw, 641px\" \/><\/a><p id=\"caption-attachment-348\" class=\"wp-caption-text\">&#8220;Girl with pigtails&#8221;, Inkjet on clear acrylic, circa 1998.<\/p><\/div>\n<div id=\"attachment_350\" style=\"width: 654px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2018\/03\/rhinotilingphoto.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-350\" class=\"wp-image-350 \" src=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2018\/03\/rhinotilingphoto-1024x768.jpg\" alt=\"&quot;Rhino&quot; tiling\" width=\"644\" height=\"483\" srcset=\"https:\/\/pages.vassar.edu\/nafrank\/files\/2018\/03\/rhinotilingphoto-1024x768.jpg 1024w, https:\/\/pages.vassar.edu\/nafrank\/files\/2018\/03\/rhinotilingphoto-300x225.jpg 300w, https:\/\/pages.vassar.edu\/nafrank\/files\/2018\/03\/rhinotilingphoto-768x576.jpg 768w\" sizes=\"auto, (max-width: 644px) 100vw, 644px\" \/><\/a><p id=\"caption-attachment-350\" class=\"wp-caption-text\">&#8220;Rhino&#8221;, inkjet on clear acrylic, 2003.<\/p><\/div>\n<div id=\"attachment_349\" style=\"width: 609px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2018\/03\/hearttilingphoto.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-349\" class=\"wp-image-349\" src=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2018\/03\/hearttilingphoto-1024x768.jpg\" alt=\"\" width=\"599\" height=\"449\" srcset=\"https:\/\/pages.vassar.edu\/nafrank\/files\/2018\/03\/hearttilingphoto-1024x768.jpg 1024w, https:\/\/pages.vassar.edu\/nafrank\/files\/2018\/03\/hearttilingphoto-300x225.jpg 300w, https:\/\/pages.vassar.edu\/nafrank\/files\/2018\/03\/hearttilingphoto-768x576.jpg 768w\" sizes=\"auto, (max-width: 599px) 100vw, 599px\" \/><\/a><p id=\"caption-attachment-349\" class=\"wp-caption-text\">&#8220;Hearts&#8221;, inkjet on paper, 2012.<\/p><\/div>\n<h2>Older Virtual Work<\/h2>\n<p>I can produce a lot of beautiful tiling images that represent specific things.\u00a0 \u00a0Check out some of them below, and if you want to try your hand at it, use the\u00a0<a href=\"https:\/\/www.dropbox.com\/s\/62noemwz9xfndzw\/TilingGenerator3-1.zip?dl=0\" target=\"_blank\" rel=\"noopener\">Tiling Generator 3.1<\/a> (for Matlab). \u00a0Or use the open-source code <a href=\"http:\/\/code.google.com\/p\/prototile\/\" target=\"_blank\" rel=\"noopener\">PROTOTILE<\/a>, by Billie J. Rinaldi.<\/p>\n<p>Here are some images I&#8217;ve created from self-similar tilings:<\/p>\n<p><a href=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2011\/04\/vclogo1.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-57\" src=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2011\/04\/vclogo1-300x266.jpg\" alt=\"\" width=\"300\" height=\"266\" srcset=\"https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/vclogo1-300x266.jpg 300w, https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/vclogo1.jpg 578w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p style=\"text-align: center\">\u00a0Let&#8217;s go VC!<\/p>\n<p style=\"text-align: center\"><a href=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2011\/04\/bluebird1.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-59\" src=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2011\/04\/bluebird1-300x206.jpg\" alt=\"\" width=\"300\" height=\"206\" srcset=\"https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/bluebird1-300x206.jpg 300w, https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/bluebird1-1024x704.jpg 1024w, https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/bluebird1.jpg 1050w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\u00a0<a href=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2011\/04\/bluebird2.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-56\" src=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2011\/04\/bluebird2-300x204.jpg\" alt=\"\" width=\"300\" height=\"204\" srcset=\"https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/bluebird2-300x204.jpg 300w, https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/bluebird2-1024x698.jpg 1024w, https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/bluebird2.jpg 1056w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><a href=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2011\/04\/bluebird3.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-60 aligncenter\" src=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2011\/04\/bluebird3-300x206.jpg\" alt=\"\" width=\"300\" height=\"206\" srcset=\"https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/bluebird3-300x206.jpg 300w, https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/bluebird3-1024x705.jpg 1024w, https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/bluebird3.jpg 1048w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p style=\"text-align: center\">Try to figure out the relationship between the birds in this flock!<\/p>\n<p style=\"text-align: center\"><a href=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2011\/04\/dollar.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-73\" src=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2011\/04\/dollar-191x300.jpg\" alt=\"\" width=\"191\" height=\"300\" srcset=\"https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/dollar-191x300.jpg 191w, https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/dollar-652x1024.jpg 652w, https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/dollar.jpg 674w\" sizes=\"auto, (max-width: 191px) 100vw, 191px\" \/><\/a><a href=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2011\/04\/dollarmix1.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-58\" src=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2011\/04\/dollarmix1-190x300.jpg\" alt=\"\" width=\"190\" height=\"300\" srcset=\"https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/dollarmix1-190x300.jpg 190w, https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/dollarmix1-649x1024.jpg 649w, https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/dollarmix1.jpg 670w\" sizes=\"auto, (max-width: 190px) 100vw, 190px\" \/><\/a><a href=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2011\/04\/dollarmix2.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-72\" src=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2011\/04\/dollarmix2-190x300.jpg\" alt=\"\" width=\"190\" height=\"300\" srcset=\"https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/dollarmix2-190x300.jpg 190w, https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/dollarmix2-650x1024.jpg 650w, https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/dollarmix2.jpg 670w\" sizes=\"auto, (max-width: 190px) 100vw, 190px\" \/><\/a><a href=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2011\/04\/dollar-r.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-71 aligncenter\" src=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2011\/04\/dollar-r-191x300.jpg\" alt=\"\" width=\"191\" height=\"300\" srcset=\"https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/dollar-r-191x300.jpg 191w, https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/dollar-r-652x1024.jpg 652w, https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/dollar-r.jpg 670w\" sizes=\"auto, (max-width: 191px) 100vw, 191px\" \/><\/a><\/p>\n<p style=\"text-align: center\">Who says mathematicians don&#8217;t make money?<\/p>\n<p style=\"text-align: center\"><span style=\"font-size: medium\">Did you like those tilings? Do you have Matlab?<br \/>\nThen get <a href=\"https:\/\/www.dropbox.com\/s\/62noemwz9xfndzw\/TilingGenerator3-1.zip?dl=0\">Tiling Generator 3.1<\/a>, (April 2008) by Natalie Priebe Frank and Billie J. Rinaldi!<\/span><\/p>\n<ol>\n<li><span style=\"font-size: small\">Download the Manual first. This contains instructions for using the Tiling Generator 3.1.<\/span><\/li>\n<li><span style=\"font-size: small\">Download the zipped file TilingGenerator3-1. Open Matlab, get to the path TilingGenerator3-1\/colors.<\/span><\/li>\n<li><span style=\"font-size: small\">Typing tiles at the Matlab prompt from TilingGenerator3-1\/colors will launch the software!<\/span><\/li>\n<\/ol>\n<p style=\"text-align: center\"><strong><span style=\"font-size: large\">The Fourier transform of a tiling:<\/span><\/strong><\/p>\n<p style=\"text-align: left\"><a href=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2011\/04\/snow.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-75 aligncenter\" src=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2011\/04\/snow.jpg\" alt=\"\" width=\"407\" height=\"412\" srcset=\"https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/snow.jpg 407w, https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/snow-296x300.jpg 296w\" sizes=\"auto, (max-width: 407px) 100vw, 407px\" \/><\/a><a href=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2011\/04\/pinkfft1.gif\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-76 aligncenter\" src=\"http:\/\/pages.vassar.edu\/nafrank-copy\/files\/2011\/04\/pinkfft1.gif\" alt=\"\" width=\"401\" height=\"401\" srcset=\"https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/pinkfft1.gif 494w, https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/pinkfft1-150x150.gif 150w, https:\/\/pages.vassar.edu\/nafrank\/files\/2011\/04\/pinkfft1-300x300.gif 300w\" sizes=\"auto, (max-width: 401px) 100vw, 401px\" \/><\/a><\/p>\n<dl><\/dl>\n<dl><\/dl>\n<p><span style=\"font-size: x-small\">Page last updated March 14, 2018.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Aperiodic Tilings Exhibition at the Open University, June 2022. In honor of Uwe Grimm. Check out all of the cool artwork and in particular my self-similar self-portraits! Spiral Circuit Natalie Priebe Frank, 2018. Mobile. Glass beads, acrylic, nylon thread. Click &hellip; <a href=\"https:\/\/pages.vassar.edu\/nafrank\/?page_id=114\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":4,"comment_status":"closed","ping_status":"closed","template":"onecolumn-page.php","meta":{"footnotes":""},"class_list":["post-114","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pages.vassar.edu\/nafrank\/index.php?rest_route=\/wp\/v2\/pages\/114","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pages.vassar.edu\/nafrank\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/pages.vassar.edu\/nafrank\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/pages.vassar.edu\/nafrank\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/pages.vassar.edu\/nafrank\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=114"}],"version-history":[{"count":42,"href":"https:\/\/pages.vassar.edu\/nafrank\/index.php?rest_route=\/wp\/v2\/pages\/114\/revisions"}],"predecessor-version":[{"id":450,"href":"https:\/\/pages.vassar.edu\/nafrank\/index.php?rest_route=\/wp\/v2\/pages\/114\/revisions\/450"}],"wp:attachment":[{"href":"https:\/\/pages.vassar.edu\/nafrank\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=114"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}