{"id":1047,"date":"2012-10-14T11:54:03","date_gmt":"2012-10-14T10:54:03","guid":{"rendered":"http:\/\/www.arhns.com\/givsf\/?p=1047"},"modified":"2012-10-14T19:49:29","modified_gmt":"2012-10-14T18:49:29","slug":"tessollations-final","status":"publish","type":"post","link":"https:\/\/www.arhns.uns.ac.rs\/givsf\/tessollations-final\/","title":{"rendered":"Teselacija- final"},"content":{"rendered":"<p class=\"size-medium wp-image-1049\">Teselacija &#8211; ovde ozna\u010dava dizajn raznih oblika (\u017eivotinje, biljke, ljudi&#8230;) koji mogu da se uklapaju u repetitivne paterne kao jednostavna slagalica. Obi\u010dno se koriste za oblaganje 2D povr\u0161i. Po\u0161to je kolega <a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/author\/petkovic\/\">Petkovi\u0107<\/a> utvrdio da je nemogu\u0107e o\u010duvati stalnost veli\u010dine elemenata poplo\u010danja na trodimenzionalnim povr\u0161ima (izuzev \u0161to se kod lopte, torusa, konusa i hiperboli\u010dnog paralelopipeda mogu prona\u0107i podudarni elementi), ja sam svoj rad bazirala na razli\u010ditim mogu\u0107nostima pravljenja paterna u 2D prostoru. Sledi tutorijal:<\/p>\n<ul>\n<li><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2012\/10\/14.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-medium wp-image-1063\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2012\/10\/14-e1350210897306-300x86.jpg\" alt=\"\" width=\"300\" height=\"86\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2012\/10\/14-e1350210897306-300x86.jpg 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2012\/10\/14-e1350210897306-1024x295.jpg 1024w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>Po\u010detni oblici su poligoni kao na slici, koji se u daljem procesu deformi\u0161u na razli\u010dit na\u010din kod poligona sa neparnim brojem stranica i poligona sa parnim brojem stranica.<\/li>\n<\/ul>\n<ul>\n<li><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-medium wp-image-1052\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2012\/10\/4-e1350210988908-300x139.jpg\" alt=\"\" width=\"300\" height=\"139\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2012\/10\/4-e1350210988908-300x139.jpg 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2012\/10\/4-e1350210988908-1024x477.jpg 1024w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/>Ova slika pokazuje kako se pravi \u017eeljeni oblik od kvadrata\/pravougaonika. Ista pravila va\u017ee za sve poligone sa parnim brojem stranica. Kad izmenimo jednu stranicu, translacijom moramo da je prabacimo na suprotnu stranicu kvadrata\/pravougaonika. Tako \u010dinimo i sa druge dve stranice. Ostaje samo da unapred smislimo oblik, ili modifikacijom do\u0111emo do \u017eeljenog.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-medium wp-image-1054\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2012\/10\/5-e1350211639827-97x300.jpg\" alt=\"\" width=\"97\" height=\"300\" \/>Kod poligona sa neparnim brojem stranica kada izmenimo jednu stranicu do \u017eeljenog oblika, rotiramo je oko temena na susednu stranicu. Na slici je to teme obele\u017eeno krugom. Stranica koja ostaje sama (nema svoj par) uklapa\u0107e se sama u sebe. Za po\u010detak odredi\u0107emo joj sredi\u0161nju ta\u010dku. Sad mo\u017eemo da menjamo polovinu linije do sredi\u0161nje ta\u010dke. Slede\u0107i korak je da izmenjenu liniju rotiramo oko te sredi\u0161nje ta\u010dke na drugu polovinu i tako dobijemo ceo oblik.<\/li>\n<\/ul>\n<ul>\n<li>Slede neki gotovi oblici teselacije:<\/li>\n<\/ul>\n<div><span style=\"font-size: medium\"><span style=\"line-height: 24px\"><br \/>\n<\/span><\/span><\/div>\n<p>&nbsp;<\/p>\n<p class=\"size-medium wp-image-1049\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-1056\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2012\/10\/6.jpg\" alt=\"\" width=\"240\" height=\"262\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2012\/10\/6.jpg 1009w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2012\/10\/6-274x300.jpg 274w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2012\/10\/6-937x1024.jpg 937w\" sizes=\"auto, (max-width: 240px) 100vw, 240px\" \/><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1057 alignleft\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2012\/10\/8-300x278.jpg\" alt=\"\" width=\"266\" height=\"246\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2012\/10\/8-300x278.jpg 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2012\/10\/8.jpg 930w\" sizes=\"auto, (max-width: 266px) 100vw, 266px\" \/><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1062 alignleft\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2012\/10\/ggggg1-227x300.jpg\" alt=\"\" width=\"203\" height=\"269\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2012\/10\/ggggg1-227x300.jpg 227w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2012\/10\/ggggg1-776x1024.jpg 776w\" sizes=\"auto, (max-width: 203px) 100vw, 203px\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Teselacija &#8211; ovde ozna\u010dava dizajn raznih oblika (\u017eivotinje, biljke, ljudi&#8230;) koji mogu da se uklapaju u repetitivne paterne kao jednostavna slagalica. Obi\u010dno se koriste za oblaganje 2D povr\u0161i. Po\u0161to je kolega Petkovi\u0107 utvrdio da je nemogu\u0107e o\u010duvati stalnost veli\u010dine elemenata poplo\u010danja na trodimenzionalnim povr\u0161ima (izuzev \u0161to se kod lopte, torusa, konusa i hiperboli\u010dnog paralelopipeda mogu&hellip; <a class=\"more-link\" href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/tessollations-final\/\">Continue reading <span class=\"screen-reader-text\">Teselacija- final<\/span><\/a><\/p>\n","protected":false},"author":32,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10],"tags":[],"coauthors":[],"class_list":["post-1047","post","type-post","status-publish","format-standard","hentry","category-radovi","entry"],"_links":{"self":[{"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/posts\/1047","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/users\/32"}],"replies":[{"embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/comments?post=1047"}],"version-history":[{"count":22,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/posts\/1047\/revisions"}],"predecessor-version":[{"id":1077,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/posts\/1047\/revisions\/1077"}],"wp:attachment":[{"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/media?parent=1047"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/categories?post=1047"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/tags?post=1047"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/coauthors?post=1047"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}