{"id":24890,"date":"2026-04-13T13:49:44","date_gmt":"2026-04-13T12:49:44","guid":{"rendered":"https:\/\/www.arhns.uns.ac.rs\/givsf\/?p=24890"},"modified":"2026-04-13T16:39:23","modified_gmt":"2026-04-13T15:39:23","slug":"primena-algoritama-grananja-u-generisanju-fasadnih-struktura-faza-2","status":"publish","type":"post","link":"https:\/\/www.arhns.uns.ac.rs\/givsf\/primena-algoritama-grananja-u-generisanju-fasadnih-struktura-faza-2\/","title":{"rendered":"Primena algoritama grananja u generisanju fasadnih struktura &#8211; Faza 2"},"content":{"rendered":"\n<p>U drugoj fazi istra\u017eivanja fokus je bio na digitalnom generisanju forme drveta kori\u0161\u0107enjem algoritamskog pristupa unutar softvera Grasshopper. Modelovanje je zasnovano na principima <strong>L-sistema (L-System)<\/strong> i <strong>Turtle Graphics<\/strong>, uz upotrebu dodatka Rabbit plugin for Grasshopper.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2026\/04\/Snimak-ekrana-2026-04-13-143134.png\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"726\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2026\/04\/Snimak-ekrana-2026-04-13-143134-1024x726.png\" alt=\"\" class=\"wp-image-24896\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2026\/04\/Snimak-ekrana-2026-04-13-143134-1024x726.png 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2026\/04\/Snimak-ekrana-2026-04-13-143134-300x213.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2026\/04\/Snimak-ekrana-2026-04-13-143134-768x544.png 768w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2026\/04\/Snimak-ekrana-2026-04-13-143134-1536x1089.png 1536w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2026\/04\/Snimak-ekrana-2026-04-13-143134-1568x1112.png 1568w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2026\/04\/Snimak-ekrana-2026-04-13-143134.png 1694w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure>\n\n\n\n<p>L-sistem predstavlja formalni na\u010din opisivanja rasta biljaka putem pravila zamene (produkcija), gde se po\u010detni simbol (aksiom) iterativno razvija u slo\u017eeniju strukturu. U ovom radu kori\u0161\u0107en je slede\u0107i sistem:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Aksiom: <strong>X<\/strong><\/li>\n\n\n\n<li>Pravila:<br><strong>X = F-[[X]+X]+F[+FX]-X<\/strong><br><strong>F = FF<\/strong><\/li>\n<\/ul>\n\n\n\n<p>Ova pravila omogu\u0107avaju grananje i progresivno uslo\u017enjavanje forme, \u010dime se dobija struktura nalik prirodnom drvetu.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2026\/04\/Snimak-ekrana-2026-04-13-144355.png\"><img loading=\"lazy\" decoding=\"async\" width=\"705\" height=\"523\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2026\/04\/Snimak-ekrana-2026-04-13-144355.png\" alt=\"\" class=\"wp-image-24898\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2026\/04\/Snimak-ekrana-2026-04-13-144355.png 705w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2026\/04\/Snimak-ekrana-2026-04-13-144355-300x223.png 300w\" sizes=\"auto, (max-width: 705px) 100vw, 705px\" \/><\/a><\/figure>\n\n\n\n<p>Za interpretaciju generisanog stringa kori\u0161\u0107en je princip Turtle Graphics, gde se kretanje \u201ckornja\u010de\u201d u prostoru defini\u0161e pomo\u0107u unapred odre\u0111enih simbola. Svaki simbol ima odre\u0111enu funkciju u generisanju geometrije:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>F<\/strong> \u2013 pomeranje unapred uz crtanje linije<\/li>\n\n\n\n<li><strong>f<\/strong> \u2013 pomeranje unapred bez crtanja<\/li>\n\n\n\n<li><strong>+ \/ \u2013<\/strong> \u2013 rotacija levo\/desno za odre\u0111eni ugao<\/li>\n\n\n\n<li><strong>\\ \/ \/<\/strong> \u2013 rotacija oko uzdu\u017ene ose (roll)<\/li>\n\n\n\n<li><strong>^ \/ &amp;<\/strong> \u2013 nagib gore\/dole (pitch)<\/li>\n\n\n\n<li><strong>|<\/strong> \u2013 okret za 180\u00b0<\/li>\n\n\n\n<li><strong>J<\/strong> \u2013 postavljanje ta\u010dke<\/li>\n\n\n\n<li><strong>&#8220;<\/strong> \u2013 skaliranje du\u017eine segmenta<\/li>\n\n\n\n<li><strong>!<\/strong> \u2013 skaliranje debljine<\/li>\n\n\n\n<li><strong>[ ]<\/strong> \u2013 po\u010detak i kraj grane (\u010duvanje i vra\u0107anje stanja)<\/li>\n\n\n\n<li><strong>A, B, C&#8230;<\/strong> \u2013 pomo\u0107ni simboli za pro\u0161irivanje sistema<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2026\/04\/V.png\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"335\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2026\/04\/V-1024x335.png\" alt=\"\" class=\"wp-image-24901\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2026\/04\/V-1024x335.png 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2026\/04\/V-300x98.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2026\/04\/V-768x251.png 768w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2026\/04\/V-1536x502.png 1536w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2026\/04\/V-2048x670.png 2048w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2026\/04\/V-1568x513.png 1568w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-1 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<p><\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>U drugoj fazi istra\u017eivanja fokus je bio na digitalnom generisanju forme drveta kori\u0161\u0107enjem algoritamskog pristupa unutar softvera Grasshopper. Modelovanje je zasnovano na principima L-sistema (L-System) i Turtle Graphics, uz upotrebu dodatka Rabbit plugin for Grasshopper. L-sistem predstavlja formalni na\u010din opisivanja rasta biljaka putem pravila zamene (produkcija), gde se po\u010detni simbol (aksiom) iterativno razvija u slo\u017eeniju&hellip; <a class=\"more-link\" href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/primena-algoritama-grananja-u-generisanju-fasadnih-struktura-faza-2\/\">Continue reading <span class=\"screen-reader-text\">Primena algoritama grananja u generisanju fasadnih struktura &#8211; Faza 2<\/span><\/a><\/p>\n","protected":false},"author":736,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[739],"tags":[],"coauthors":[740],"class_list":["post-24890","post","type-post","status-publish","format-standard","hentry","category-25-26-radovi","entry"],"_links":{"self":[{"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/posts\/24890","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\/736"}],"replies":[{"embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/comments?post=24890"}],"version-history":[{"count":2,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/posts\/24890\/revisions"}],"predecessor-version":[{"id":24920,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/posts\/24890\/revisions\/24920"}],"wp:attachment":[{"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/media?parent=24890"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/categories?post=24890"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/tags?post=24890"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/coauthors?post=24890"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}