{"id":889,"date":"2005-07-28T04:38:00","date_gmt":"2005-07-28T04:38:00","guid":{"rendered":"http:\/\/www.nolligan.co.uk\/SU\/?p=889"},"modified":"2022-02-05T13:24:14","modified_gmt":"2022-02-05T05:24:14","slug":"escherization","status":"publish","type":"post","link":"http:\/\/www.nolligan.ie\/SU\/escherization\/","title":{"rendered":"Escherization"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><s>http:\/\/www.cgl.uwaterloo.ca\/~csk\/projects\/escherization\/<\/s><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/web.archive.org\/web\/20060322021346\/http:\/\/www.cgl.uwaterloo.ca\/~csk\/projects\/escherization\/\">https:\/\/web.archive.org\/web\/20060322021346\/http:\/\/www.cgl.uwaterloo.ca\/~csk\/projects\/escherization\/<\/a><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/www.nolligan.ie\/SU\/wp-content\/uploads\/2022\/02\/esch.png\"><img loading=\"lazy\" decoding=\"async\" width=\"646\" height=\"215\" src=\"https:\/\/www.nolligan.ie\/SU\/wp-content\/uploads\/2022\/02\/esch.png\" alt=\"\" class=\"wp-image-3728\" srcset=\"https:\/\/www.nolligan.ie\/SU\/wp-content\/uploads\/2022\/02\/esch.png 646w, https:\/\/www.nolligan.ie\/SU\/wp-content\/uploads\/2022\/02\/esch-300x100.png 300w, https:\/\/www.nolligan.ie\/SU\/wp-content\/uploads\/2022\/02\/esch-500x166.png 500w\" sizes=\"auto, (max-width: 646px) 100vw, 646px\" \/><\/a><figcaption>Escherization ofEscher <\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Over his life, the Dutch graphic artist M.C. Escher created over a hundred ingenious tesselations in the plane. Some were simple and geometric, used as prototypes for more complex endeavors. But in most the tiles were recognizable animal forms such as birds, fish and reptiles.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Escher was able to discover such tilings through a combination of natural ability and sheer determination.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The author of this site has developed a complex algorithm that can produce reasonable solutions to the Escherization problem.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">There some <i>very<\/i> good examples which I can&#8217;t show you because they are all either exceed the maximum file size or image size for stumbleupon apart from this one which is probably the poorest example on the site:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/www.nolligan.ie\/SU\/wp-content\/uploads\/2022\/02\/sphere_and_teapot.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"450\" height=\"250\" src=\"https:\/\/www.nolligan.ie\/SU\/wp-content\/uploads\/2022\/02\/sphere_and_teapot.jpg\" alt=\"\" class=\"wp-image-3729\" srcset=\"https:\/\/www.nolligan.ie\/SU\/wp-content\/uploads\/2022\/02\/sphere_and_teapot.jpg 450w, https:\/\/www.nolligan.ie\/SU\/wp-content\/uploads\/2022\/02\/sphere_and_teapot-300x167.jpg 300w\" sizes=\"auto, (max-width: 450px) 100vw, 450px\" \/><\/a><figcaption>Spheres on a teapot teapots on a sphere<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">The man responsible for all this is:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/www.nolligan.ie\/SU\/wp-content\/uploads\/2022\/02\/portrait.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"440\" src=\"https:\/\/www.nolligan.ie\/SU\/wp-content\/uploads\/2022\/02\/portrait.jpg\" alt=\"\" class=\"wp-image-3730\" srcset=\"https:\/\/www.nolligan.ie\/SU\/wp-content\/uploads\/2022\/02\/portrait.jpg 500w, https:\/\/www.nolligan.ie\/SU\/wp-content\/uploads\/2022\/02\/portrait-300x264.jpg 300w, https:\/\/www.nolligan.ie\/SU\/wp-content\/uploads\/2022\/02\/portrait-341x300.jpg 341w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><br>Craig S. Kaplan<br>Assistant Professor,<br>Computer Graphics Lab,<br>School of Computer Science,<br>University of Waterloo,<br>Ontario,<br>Canada.<br><a href=\"http:\/\/www.cgl.uwaterloo.ca\/~csk\/\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/www.cgl.uwaterloo.ca\/~csk\/<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">He even looks clever doesn&#8217;t he?<br>And just to prove how clever he is he even let<s>s<\/s> you play at making your own compositions using a java applet here:<s> http:\/\/www.cgl.uwaterloo.ca\/~csk\/software\/penrose\/<\/s><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">and <s>it&#8217;s<\/s> <b> <em>it was<\/em> a lot <\/b> of fun, enjoy!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>http:\/\/www.cgl.uwaterloo.ca\/~csk\/projects\/escherization\/ https:\/\/web.archive.org\/web\/20060322021346\/http:\/\/www.cgl.uwaterloo.ca\/~csk\/projects\/escherization\/ Over his life, the Dutch graphic artist M.C. Escher created over a hundred ingenious tesselations in the plane. Some were simple and geometric, used as prototypes for more complex endeavors. But in most the tiles were recognizable animal &hellip; <a href=\"http:\/\/www.nolligan.ie\/SU\/escherization\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[44,99],"tags":[],"class_list":["post-889","post","type-post","status-publish","format-standard","hentry","category-interesting-links","category-updated-2022"],"aioseo_notices":[],"_links":{"self":[{"href":"http:\/\/www.nolligan.ie\/SU\/wp-json\/wp\/v2\/posts\/889","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.nolligan.ie\/SU\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.nolligan.ie\/SU\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.nolligan.ie\/SU\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/www.nolligan.ie\/SU\/wp-json\/wp\/v2\/comments?post=889"}],"version-history":[{"count":2,"href":"http:\/\/www.nolligan.ie\/SU\/wp-json\/wp\/v2\/posts\/889\/revisions"}],"predecessor-version":[{"id":3733,"href":"http:\/\/www.nolligan.ie\/SU\/wp-json\/wp\/v2\/posts\/889\/revisions\/3733"}],"wp:attachment":[{"href":"http:\/\/www.nolligan.ie\/SU\/wp-json\/wp\/v2\/media?parent=889"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.nolligan.ie\/SU\/wp-json\/wp\/v2\/categories?post=889"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.nolligan.ie\/SU\/wp-json\/wp\/v2\/tags?post=889"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}