{"id":23399,"date":"2025-10-08T19:05:52","date_gmt":"2025-10-08T18:05:52","guid":{"rendered":"https:\/\/www.arhns.uns.ac.rs\/givsf\/?p=23399"},"modified":"2025-10-11T09:09:52","modified_gmt":"2025-10-11T08:09:52","slug":"rubikova-kocka-vizuelni-trag-pokreta-faza-iii","status":"publish","type":"post","link":"https:\/\/www.arhns.uns.ac.rs\/givsf\/rubikova-kocka-vizuelni-trag-pokreta-faza-iii\/","title":{"rendered":"Rubikova kocka &#8211; \u201eVizuelni trag pokreta\u201c &#8211; Faza III"},"content":{"rendered":"\n<p>U ovoj fazi istra\u017eivanja prikazuje se primena prethodno definisane metode na konkretnim algoritmima slaganja Rubikove kocke. Cilj je da se ispita kako se razvijeni sistem pona\u0161a u praksi \u2013 da li formirane strukture uspe\u0161no prenose informaciju o sekvenci poteza i da li su \u010ditljive drugim korisnicima.<\/p>\n\n\n\n<p>Proces zapo\u010dinje <strong>jednostavnijim primerom<\/strong>, koji slu\u017ei za proveru osnovne funkcionalnosti i odnosa izme\u0111u kretanja, rotacije i formirane povr\u0161ine. Nakon toga bi\u0107e prikazano nekoliko <strong>kompleksnijih primera<\/strong>, u kojima se ispituje sposobnost sistema da odr\u017ei jasno\u0107u i logiku pri ve\u0107em broju poteza i slo\u017eenijim kombinacijama.<\/p>\n\n\n\n<p>Na kraju, kroz <strong>anketno ispitivanje drugih korisnika<\/strong>, analizira\u0107e se da li je vizuelna forma zaista razumljiva i da li omogu\u0107ava delimi\u010dnu ili potpunu rekonstrukciju algoritma. Ovaj korak predstavlja zavr\u0161nu proveru hipoteze i osnov za zaklju\u010dak istra\u017eivanja.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Primer 1 \u2013 Osnovni algoritam (L, R, U, D):<\/h2>\n\n\n\n<p>U prvom primeru prikazan je osnovni niz poteza: <strong>L (left), R (right), U (up)<\/strong> i <strong>D (down)<\/strong>, gde je smer rotacije redom: <strong>CW(clockwise), CW(clockwise), CCW(counterclockwise), CCW(counterclockwise)<\/strong>. Ovaj niz odabran je kako bi se ispitao osnovni princip funkcionisanja metode na jednostavnijoj sekvenci kretanja.<\/p>\n\n\n\n<p>Da bi se formirala odgovaraju\u0107a slobodna forma, algoritam je <strong>izveden obrnuto<\/strong> na Rubikovoj kocki, kao \u0161to su i pravci kretenja obrnuto (D, U, R, L), polaze\u0107i od ve\u0107 slo\u017eene kocke. Smerovi rotacije su takodje obrnuto radjeni za svaki korak pojedina\u010dno (CCW, CCW, CW, CW). Na taj na\u010din bilo je mogu\u0107e precizno pratiti <strong>redosled promena boja<\/strong> koje se javljaju tokom svakog poteza. Boje su zatim iskori\u0161\u0107ene kao referenca za formiranje geometrijske strukture, \u010dime je svaka promena na kocki dobila svoj vizuelni i prostorni ekvivalent. Rezultat ovog procesa je <strong>slobodna forma<\/strong> koja sledi logiku kretanja ta\u010dke u prostoru i odra\u017eava ritam algoritma.<\/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 is-resized\"><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-114357-2.png\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"695\" data-id=\"23631\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-114357-2-1024x695.png\" alt=\"\" class=\"wp-image-23631\" style=\"width:320px;height:auto\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-114357-2-1024x695.png 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-114357-2-300x204.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-114357-2-768x521.png 768w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-114357-2.png 1284w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/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\/10\/Snimak-ekrana-2025-10-10-114429-2.png\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"692\" data-id=\"23633\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-114429-2-1024x692.png\" alt=\"\" class=\"wp-image-23633\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-114429-2-1024x692.png 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-114429-2-300x203.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-114429-2-768x519.png 768w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-114429-2.png 1400w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure>\n<\/figure>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<details class=\"wp-block-details has-extra-small-font-size is-layout-flow wp-block-details-is-layout-flow\"><summary>Fotografija 1: Dobijena forma prikazana iz dve perspektive<\/summary>\n<p class=\"has-extra-small-font-size\">Izvor: autorska fotografija<\/p>\n<\/details>\n<\/div><\/div>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Video-tamara.mp4\"><\/video><\/figure>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<details class=\"wp-block-details has-extra-small-font-size is-layout-flow wp-block-details-is-layout-flow\"><summary>Video 1: Sinhronizovano formiranje oblika sa pokretima Rubikove kocke<\/summary>\n<p class=\"has-extra-small-font-size\">Izvor: autorski video<\/p>\n<\/details>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">Primer 2 \u2013 Algoritam (R, U, D, L, R, R)<\/h2>\n\n\n\n<p>Drugi primer prikazuje slo\u017eeniju sekvencu poteza: <strong>R, U, D, L, R, R<\/strong>, uz prate\u0107e <strong>smerove rotacije<\/strong>: <strong>CW, CW, CCW, CCW, CW, CW<\/strong>.<\/p>\n\n\n\n<p>Za razliku od prethodnog, jednostavnijeg primera, ovde se ispituje pona\u0161anje sistema pri ve\u0107em broju poteza i \u010destim promenama smera rotacije. Time se analizira kako se geometrijska forma razvija kada se sekvenca poteza ubrzava.<\/p>\n\n\n\n<p>Kao i u prethodnom primeru, algoritam je izveden <strong>unazad na ve\u0107 slo\u017eenoj kocki<\/strong>, kako bi se precizno pratile <strong>promene boja i orijentacije<\/strong> svake povr\u0161ine. Pravac kretanja je izveden koracima: R, R, L, D, U, R, dok su smerovi rotacije: CCW, CCW, CW, CW, CCW, CCW. Dobijeni podaci kori\u0161\u0107eni su za generisanje slobodne forme koja pokazuje izra\u017eeniju dinamiku i slo\u017eeniju prostornu logiku u odnosu na prethodni model.<\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-2 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large is-resized\"><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-125734.png\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"681\" data-id=\"23676\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-125734-1024x681.png\" alt=\"\" class=\"wp-image-23676\" style=\"width:312px;height:auto\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-125734-1024x681.png 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-125734-300x200.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-125734-768x511.png 768w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-125734.png 1296w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/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\/10\/Snimak-ekrana-2025-10-10-125827.png\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"533\" data-id=\"23677\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-125827-1024x533.png\" alt=\"\" class=\"wp-image-23677\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-125827-1024x533.png 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-125827-300x156.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-125827-768x400.png 768w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-125827.png 1064w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure>\n<\/figure>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<details class=\"wp-block-details has-extra-small-font-size is-layout-flow wp-block-details-is-layout-flow\"><summary>Fotografija 2: Dobijena forma prikazana iz dve perspektive<\/summary>\n<p class=\"has-extra-small-font-size\">Izvor: autorska fotografija<\/p>\n<\/details>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">Primer 3 \u2013 Algoritam (U, D, R, D, L, U, D, R, L)<\/h2>\n\n\n\n<p>Tre\u0107i primer prikazuje najkompleksniji niz poteza u okviru istra\u017eivanja: <strong>U, D, R, D, L, U, D, R, L<\/strong>, uz prate\u0107e smerove rotacije: <strong>CW, CCW, CCW, CW, CW, CW, CCW, CW, CCW.<\/strong><\/p>\n\n\n\n<p>Ovaj algoritam je odabran kako bi se proverilo da li sistem ostaje konzistentan i \u010ditljiv pri ve\u0107em broju uzastopnih transformacija, promena smera i povratnih poteza. Naglasak je stavljen na sposobnost forme da zadr\u017ei kontinuitet i logi\u010dku povezanost, uprkos slo\u017eenoj dinamici kretanja u prostoru.<\/p>\n\n\n\n<p>Kao i kod prethodnih primera, algoritam je <strong>izveden na ve\u0107 slo\u017eenoj kocki u obrnutom redosledu<\/strong>, \u0161to je omogu\u0107ilo pra\u0107enje svih promena boja i prostorne orijentacije. Na osnovu tih promena formirana je slo\u017eena <strong>slobodna povr\u0161ina<\/strong>, koja vizuelno prikazuje ritam, kontraste i me\u0111usobne odnose poteza.<\/p>\n\n\n\n<p>Dobijeni rezultat pokazuje znatno izra\u017eeniju prostornu slo\u017eenost i dinami\u010dki karakter forme, \u010dime se potvr\u0111uje mogu\u0107nost metode da vizualizuje i du\u017ee algoritme bez gubitka estetske ili informativne vrednosti.<\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-3 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large is-resized\"><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-134841-1.png\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"556\" data-id=\"23694\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-134841-1-1024x556.png\" alt=\"\" class=\"wp-image-23694\" style=\"width:320px;height:auto\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-134841-1-1024x556.png 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-134841-1-300x163.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-134841-1-768x417.png 768w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-134841-1.png 1298w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/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\/10\/Snimak-ekrana-2025-10-10-134820-1.png\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"569\" data-id=\"23695\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-134820-1-1024x569.png\" alt=\"\" class=\"wp-image-23695\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-134820-1-1024x569.png 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-134820-1-300x167.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-134820-1-768x426.png 768w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/10\/Snimak-ekrana-2025-10-10-134820-1.png 1311w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure>\n<\/figure>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<details class=\"wp-block-details has-extra-small-font-size is-layout-flow wp-block-details-is-layout-flow\"><summary>Fotografija 3: Dobijena forma prikazana iz dve perspektive<\/summary>\n<p class=\"has-extra-small-font-size\">Izvor: autorska fotografija<\/p>\n<\/details>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">Zaklju\u010dak istra\u017eivanja<\/h2>\n\n\n\n<p>Rezultati faze III pokazali su da se razvijeni sistem uspe\u0161no primenjuje i na slo\u017eenije algoritme, zadr\u017eavaju\u0107i \u010ditljivost i logiku sekvence. Vizuelne forme potvr\u0111uju sposobnost da prenesu informaciju o potezima kroz geometrijsku strukturu. Time je potvr\u0111ena hipoteza da se algoritam Rubikove kocke mo\u017ee prevesti u estetski i informativan prostorni zapis.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>U ovoj fazi istra\u017eivanja prikazuje se primena prethodno definisane metode na konkretnim algoritmima slaganja Rubikove kocke. Cilj je da se ispita kako se razvijeni sistem pona\u0161a u praksi \u2013 da li formirane strukture uspe\u0161no prenose informaciju o sekvenci poteza i da li su \u010ditljive drugim korisnicima. Proces zapo\u010dinje jednostavnijim primerom, koji slu\u017ei za proveru osnovne&hellip; <a class=\"more-link\" href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/rubikova-kocka-vizuelni-trag-pokreta-faza-iii\/\">Continue reading <span class=\"screen-reader-text\">Rubikova kocka &#8211; \u201eVizuelni trag pokreta\u201c &#8211; Faza III<\/span><\/a><\/p>\n","protected":false},"author":672,"featured_media":24011,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[656,1],"tags":[],"coauthors":[669],"class_list":["post-23399","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-24-25-radovi","category-opste","entry"],"_links":{"self":[{"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/posts\/23399","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\/672"}],"replies":[{"embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/comments?post=23399"}],"version-history":[{"count":8,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/posts\/23399\/revisions"}],"predecessor-version":[{"id":24024,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/posts\/23399\/revisions\/24024"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/media\/24011"}],"wp:attachment":[{"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/media?parent=23399"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/categories?post=23399"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/tags?post=23399"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/coauthors?post=23399"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}