{"id":18833,"date":"2023-06-28T22:14:34","date_gmt":"2023-06-28T21:14:34","guid":{"rendered":"https:\/\/www.arhns.uns.ac.rs\/givsf\/?p=18833"},"modified":"2023-06-28T22:14:34","modified_gmt":"2023-06-28T21:14:34","slug":"ii-faza-voronoieva-teorema-primenjena-na-paviljonima-sa-ravanskim-panelima","status":"publish","type":"post","link":"https:\/\/www.arhns.uns.ac.rs\/givsf\/ii-faza-voronoieva-teorema-primenjena-na-paviljonima-sa-ravanskim-panelima\/","title":{"rendered":"II FAZA &#8211; Voronoieva teorema primenjena na paviljonima sa ravanskim panelima"},"content":{"rendered":"<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Drugi deo istrazivanja sam zapoceo formiranjem Velikog kruga koji predstavlja obode paviljona i 2 manja kruga koji seku veliki. Njihov presek predstavlja ulaze u paviljon. Najmanji krug predstavlja otvor u krovu paviljona.<a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/8.png\"><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-18873\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/1.1-300x227.png\" alt=\"1.1\" width=\"300\" height=\"227\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/1.1-300x227.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/1.1.png 658w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Zatim sam odredio povrsinu na kojoj ce se razvijati paviljom i odredio ivice koje ce ostati fiksne,<\/p>\n<p><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/8.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-18874\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/21-300x133.png\" alt=\"2\" width=\"300\" height=\"133\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/21-300x133.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/21-1024x456.png 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/21.png 1373w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>Odredjivanjem duzine jedne stranice i uvodjenje odredjenog broja iteracija dobija se ovakva mreza trouglova.<\/p>\n<p><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/8.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-18875\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/31-300x121.png\" alt=\"3\" width=\"300\" height=\"121\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/31-300x121.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/31-1024x415.png 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/31.png 1457w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Zatim se ta mreza trouglova razlaze na mnostvo tacaka koje predstavljaju spoj ivica trouglova unutar zadate povrsine.<\/p>\n<p><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/8.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-18876\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/4-300x121.png\" alt=\"4\" width=\"300\" height=\"121\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/4-300x121.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/4-1024x415.png 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/4.png 1449w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>Posto postoje tacke koje su na jako maloj udaljenosti, provo sam procistio mrezu tacaka, tako da se izbace one koje su na manjoj udaljenosti od 0.1cm i razlozio sam ih u dve kategorije. Prva kategorija predstavlja obodne tacke tj. one koje ostaju fiksirane i sila nece delovati na njih. Druga kategorija su tacke na koje ce delovati sila, da bi se formirao trodimenzionalni oblik.<\/p>\n<p><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/8.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-18877\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/5-300x94.png\" alt=\"5\" width=\"300\" height=\"94\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/5-300x94.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/5-1024x323.png 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/5.png 1644w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/8.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-18878\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/6-300x97.png\" alt=\"6\" width=\"300\" height=\"97\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/6-300x97.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/6-1024x332.png 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/6.png 1582w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>Ova slika predstavlja rezultat delovanja sile, gde se formira trodimenzionalna mreza trogulova i gde se mogu primetiti prethodno zadati otvori u paviljonu.<\/p>\n<p><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/8.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-18879\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/7-300x125.png\" alt=\"7\" width=\"300\" height=\"125\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/7-300x125.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/7-1024x427.png 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/7.png 1242w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>Na taj mesh je stavljen odredjen broj tacaka i napravljen je Box oko tog paviljona. On je skaliran za malo da bi voronoi celije lepo presekle taj paviljon.<\/p>\n<p><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/8.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-18863\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/8-300x124.png\" alt=\"8\" width=\"300\" height=\"124\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/8-300x124.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/8-1024x424.png 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/8.png 1076w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/9.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-18864\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/9-300x117.png\" alt=\"9\" width=\"300\" height=\"117\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/9-300x117.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/9-1024x399.png 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/9.png 1358w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>Voronoi celije su formirane u odnosu na prethodno zadate tacke. Presekom voronoi celija i povrsine paviljnoa dobila se nova mreza tacaka, koja nakon prociscavanja duplikata i spajanjem nezatvorenih ivica formira novi oblik paviljona.<\/p>\n<p><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/10.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-18865\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/10-300x101.png\" alt=\"10\" width=\"300\" height=\"101\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/10-300x101.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/10-1024x347.png 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/10.png 1502w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>Ponovo sam odredio tacke koje ce ostati fiksirane i tacke na koje ce ovaj put delovat mnostvo sila i uslova, koje ce dati novi oblik paviljonu i uciniti da ima ravanske panele.<\/p>\n<p><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/111.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-18866\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/111-300x115.png\" alt=\"11\" width=\"300\" height=\"115\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/111-300x115.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/111-1024x395.png 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/111.png 1774w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/12.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-18867\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/12-300x111.png\" alt=\"12\" width=\"300\" height=\"111\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/12-300x111.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/12-1024x380.png 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/12.png 1777w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>Uticajem svih prethodnih sila i uslova, formiran je novi oblik paviljona koji se sastoji od ravanskih panela, gde svaki panel cini jednu voronoi celiju.<\/p>\n<p><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/13.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-18869\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/14-300x137.png\" alt=\"14\" width=\"300\" height=\"137\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/14-300x137.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/14-1024x469.png 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/14.png 1608w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>Te ravni su skalirane i ofsetovane kako bi se dobila podkonstrukcija i ljuska paviljona.<\/p>\n<p><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/15.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-18870\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/15-300x83.png\" alt=\"15\" width=\"300\" height=\"83\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/15-300x83.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/15-1024x285.png 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/15.png 1756w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/16.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-18871\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/16-300x56.png\" alt=\"16\" width=\"300\" height=\"56\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/16-300x56.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/16-1024x192.png 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/16.png 1770w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>Spajanjem ljuski i podkonstrukcije dobija se ova finalna verzija voronoi paviljona sa ravanskim panelima.<\/p>\n<p><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/17.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-18872\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/17-300x62.png\" alt=\"17\" width=\"300\" height=\"62\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/17-300x62.png 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/17-1024x211.png 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/17-940x198.png 940w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2023\/06\/17.png 1766w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; &nbsp; Drugi deo istrazivanja sam zapoceo formiranjem Velikog kruga koji predstavlja obode paviljona i 2 manja kruga koji seku veliki. Njihov presek predstavlja ulaze u paviljon. Najmanji krug predstavlja otvor u krovu paviljona. &nbsp; &nbsp; Zatim sam odredio povrsinu na kojoj ce se razvijati paviljom i odredio ivice koje ce ostati fiksne, Odredjivanjem duzine&hellip; <a class=\"more-link\" href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/ii-faza-voronoieva-teorema-primenjena-na-paviljonima-sa-ravanskim-panelima\/\">Continue reading <span class=\"screen-reader-text\">II FAZA &#8211; Voronoieva teorema primenjena na paviljonima sa ravanskim panelima<\/span><\/a><\/p>\n","protected":false},"author":573,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"coauthors":[568],"class_list":["post-18833","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\/18833","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\/573"}],"replies":[{"embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/comments?post=18833"}],"version-history":[{"count":1,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/posts\/18833\/revisions"}],"predecessor-version":[{"id":18882,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/posts\/18833\/revisions\/18882"}],"wp:attachment":[{"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/media?parent=18833"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/categories?post=18833"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/tags?post=18833"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/coauthors?post=18833"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}