{"id":22103,"date":"2025-09-01T23:00:13","date_gmt":"2025-09-01T22:00:13","guid":{"rendered":"https:\/\/www.arhns.uns.ac.rs\/givsf\/?p=22103"},"modified":"2025-10-03T10:39:25","modified_gmt":"2025-10-03T09:39:25","slug":"primena-fraktalne-geometrije-u-dizajnu-fasada-sa-naglaskom-na-vizuelni-identitet-i-akusticka-svojstva-faza-2","status":"publish","type":"post","link":"https:\/\/www.arhns.uns.ac.rs\/givsf\/primena-fraktalne-geometrije-u-dizajnu-fasada-sa-naglaskom-na-vizuelni-identitet-i-akusticka-svojstva-faza-2\/","title":{"rendered":"Primena fraktalne geometrije u dizajnu fasada sa naglaskom na vizuelni identitet i akusti\u010dka svojstva \/ Faza 2"},"content":{"rendered":"\n<figure class=\"wp-block-image is-resized\"><img decoding=\"async\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/fraktali-2--e1756762735389-150x150.png\" alt=\"\" style=\"width:313px;height:auto\"\/><\/figure>\n\n\n\n<p>Polazi\u0161te u istra\u017eivanju je primena fraktalne geometrije po uzoru na Sierpinski trougao, pri \u010demu se defini\u0161u jasna pravila rada. Prvo pravilo jeste izbor osnovnog geometrijskog oblika, u ovom slu\u010daju trougla kao jedinice koja se dalje transformi\u0161e. Drugo pravilo je iterativnost: svaka povr\u0161ina se deli na manje segmente, a iz sredi\u0161ta se uklanja jedan deo (npr. centralni trougao), \u010dime nastaje perforacija. Tre\u0107e pravilo odnosi se na princip perceptivne dvoslojnosti: iz daljine oblik deluje kao jedinstvena celina, dok pri pribli\u017eavanju otkriva ve\u0107u slo\u017eenost i detaljnost. \u010cetvrto pravilo jeste varijabilnost da fraktali ne moraju biti potpuno jednaki u svakoj iteraciji. Odstupanja u veli\u010dini ili rasporedu otvora mogu doprineti i estetskoj dinamici i akusti\u010dkim performansama, jer razli\u010dite perforacije uti\u010du na razli\u010dite frekvencije. <\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/1-4.png\"><img loading=\"lazy\" decoding=\"async\" width=\"517\" height=\"515\" data-id=\"22116\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/1-4.png\" alt=\"\" class=\"wp-image-22116\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/1-4.png 517w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/1-4-300x300.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/1-4-150x150.png 150w\" sizes=\"auto, (max-width: 517px) 100vw, 517px\" \/><\/a><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/2-3.png\"><img loading=\"lazy\" decoding=\"async\" width=\"513\" height=\"511\" data-id=\"22117\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/2-3.png\" alt=\"\" class=\"wp-image-22117\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/2-3.png 513w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/2-3-300x300.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/2-3-150x150.png 150w\" sizes=\"auto, (max-width: 513px) 100vw, 513px\" \/><\/a><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/3-2.png\"><img loading=\"lazy\" decoding=\"async\" width=\"537\" height=\"536\" data-id=\"22118\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/3-2.png\" alt=\"\" class=\"wp-image-22118\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/3-2.png 537w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/3-2-300x300.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/3-2-150x150.png 150w\" sizes=\"auto, (max-width: 537px) 100vw, 537px\" \/><\/a><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/4-2.png\"><img loading=\"lazy\" decoding=\"async\" width=\"514\" height=\"517\" data-id=\"22119\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/4-2.png\" alt=\"\" class=\"wp-image-22119\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/4-2.png 514w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/4-2-298x300.png 298w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/4-2-150x150.png 150w\" sizes=\"auto, (max-width: 514px) 100vw, 514px\" \/><\/a><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/5-2.png\"><img loading=\"lazy\" decoding=\"async\" width=\"636\" height=\"635\" data-id=\"22121\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/5-2.png\" alt=\"\" class=\"wp-image-22121\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/5-2.png 636w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/5-2-300x300.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/5-2-150x150.png 150w\" sizes=\"auto, (max-width: 636px) 100vw, 636px\" \/><\/a><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/6.png\"><img loading=\"lazy\" decoding=\"async\" width=\"512\" height=\"523\" data-id=\"22122\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/6.png\" alt=\"\" class=\"wp-image-22122\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/6.png 512w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/6-294x300.png 294w\" sizes=\"auto, (max-width: 512px) 100vw, 512px\" \/><\/a><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/7.png\"><img loading=\"lazy\" decoding=\"async\" width=\"522\" height=\"528\" data-id=\"22120\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/7.png\" alt=\"\" class=\"wp-image-22120\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/7.png 522w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/7-297x300.png 297w\" sizes=\"auto, (max-width: 522px) 100vw, 522px\" \/><\/a><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/8-2.png\"><img loading=\"lazy\" decoding=\"async\" width=\"634\" height=\"643\" data-id=\"22123\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/8-2.png\" alt=\"\" class=\"wp-image-22123\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/8-2.png 634w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/8-2-296x300.png 296w\" sizes=\"auto, (max-width: 634px) 100vw, 634px\" \/><\/a><\/figure>\n<\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Metod rada <\/strong><\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Osnovna forma<\/strong>: po\u010dinje se od kvadrata ili pravougaonika (panel).<\/li>\n\n\n\n<li><strong>Podela na trouglove<\/strong>: kvadrat se deli dijagonalom na dva trougla, a zatim svaki trougao dalje na manje trouglove (npr. \u010detiri).<\/li>\n\n\n\n<li><strong>Iteracije<\/strong>: u svakom trouglu uklanja se centralni deo (manji trougao), dok se ostali zadr\u017eavaju i opet dele.<\/li>\n\n\n\n<li><strong>Pravila<\/strong>:\n<ul class=\"wp-block-list\">\n<li>Iteracija mo\u017ee da se ponavlja proizvoljan broj puta.<\/li>\n\n\n\n<li>Nije neophodno da svi fraktali budu isti \u2013 mogu\u0107e je menjati dubinu iteracije (npr. neki trouglovi imaju 2 nivoa, neki 3 nivoa).<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Perforacija<\/strong>: trouglovi koji su \u201euklonjeni\u201c postaju otvori (rupe u panelu).<\/li>\n<\/ol>\n\n\n\n<p>Metoda kojom sam do\u0161la do fraktalnih panela zasniva se na principima fraktalne geometrije primenjene kroz parametarsko modelovanje u programu Grasshopper. Proces zapo\u010dinje formiranjem osnovne povr\u0161ine u vidu pravougaonika, koji se dalje deli na trouglaste panele. Svaki trougao prolazi kroz proceduru nasumi\u010dne selekcije i uklanjanja, \u010dime se simulira pravilo fraktalne iteracije, deo elemenata se bri\u0161e dok drugi ostaju aktivni. Preostali paneli zatim se dalje dele na manje podjedinice kroz dodatne iteracije, pri \u010demu se svaka nova subdivizija oslanja na prethodnu. Ovim pristupom dobijena je hijerarhijska mre\u017ea trouglastih otvora i punih povr\u0161ina, koja generi\u0161e vizuelno dinami\u010dan i kompleksan uzorak. Kona\u010dan rezultat je panel \u010diji oblik proizilazi iz kombinacije unapred definisanih pravila (podele i brisanja) i slu\u010dajnih varijacija (nasumi\u010dno uklanjanje elemenata), \u0161to omogu\u0107ava jedinstvenu estetsku vrednost i potencijal za dalju primenu u arhitektonskom dizajnu fasada sa naglaskom na vizuelni identitet i akusti\u010dka svojstva.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Polazi\u0161te u istra\u017eivanju je primena fraktalne geometrije po uzoru na Sierpinski trougao, pri \u010demu se defini\u0161u jasna pravila rada. Prvo pravilo jeste izbor osnovnog geometrijskog oblika, u ovom slu\u010daju trougla kao jedinice koja se dalje transformi\u0161e. Drugo pravilo je iterativnost: svaka povr\u0161ina se deli na manje segmente, a iz sredi\u0161ta se uklanja jedan deo (npr.&hellip; <a class=\"more-link\" href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/primena-fraktalne-geometrije-u-dizajnu-fasada-sa-naglaskom-na-vizuelni-identitet-i-akusticka-svojstva-faza-2\/\">Continue reading <span class=\"screen-reader-text\">Primena fraktalne geometrije u dizajnu fasada sa naglaskom na vizuelni identitet i akusti\u010dka svojstva \/ Faza 2<\/span><\/a><\/p>\n","protected":false},"author":653,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"coauthors":[649],"class_list":["post-22103","post","type-post","status-publish","format-standard","hentry","category-opste","entry"],"_links":{"self":[{"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/posts\/22103","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\/653"}],"replies":[{"embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/comments?post=22103"}],"version-history":[{"count":3,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/posts\/22103\/revisions"}],"predecessor-version":[{"id":23330,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/posts\/22103\/revisions\/23330"}],"wp:attachment":[{"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/media?parent=22103"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/categories?post=22103"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/tags?post=22103"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/coauthors?post=22103"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}