{"id":12287,"date":"2024-11-23T11:20:09","date_gmt":"2024-11-23T11:20:09","guid":{"rendered":"http:\/\/osmp.edu.ba\/?p=12287"},"modified":"2024-11-23T11:23:56","modified_gmt":"2024-11-23T11:23:56","slug":"sretan-23-novembar-fibonaccijev-dan","status":"publish","type":"post","link":"https:\/\/osmp.edu.ba\/?p=12287","title":{"rendered":"SRETAN 23. NOVEMBAR, FIBONACCIJEV DAN"},"content":{"rendered":"\n<p class=\"has-medium-font-size\"><strong>Fibonacci: Majstor Srednjovekovne Matematike<\/strong><\/p>\n\n\n\n<p><strong>Leonardo od Pise<\/strong>, poznatiji kao Fibonacci, bio je Italijanski matemati\u010dar ro\u0111en oko 1170. godine u Pisi. Ime Fibonacci dolazi od latinskog &#8220;<strong>filius Bonacci<\/strong>&#8220;, \u0161to zna\u010di &#8220;sin Bonaccijev&#8221;. Njegov otac, Guglielmo Bonacci, bio je trgovac, a Fibonacci je putovao sa njim \u0161irom Mediterana, \u0161to mu je omogu\u0107ilo da upozna razli\u010dite matemati\u010dke sisteme.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img fetchpriority=\"high\" decoding=\"async\" width=\"681\" height=\"1024\" src=\"http:\/\/osmp.edu.ba\/wp-content\/uploads\/2024\/11\/800px-Leonardo_da_Pisa-681x1024.jpg\" alt=\"\" class=\"wp-image-12288\" srcset=\"https:\/\/osmp.edu.ba\/wp-content\/uploads\/2024\/11\/800px-Leonardo_da_Pisa-681x1024.jpg 681w, https:\/\/osmp.edu.ba\/wp-content\/uploads\/2024\/11\/800px-Leonardo_da_Pisa-200x300.jpg 200w, https:\/\/osmp.edu.ba\/wp-content\/uploads\/2024\/11\/800px-Leonardo_da_Pisa-768x1155.jpg 768w, https:\/\/osmp.edu.ba\/wp-content\/uploads\/2024\/11\/800px-Leonardo_da_Pisa.jpg 800w\" sizes=\"(max-width: 681px) 100vw, 681px\" \/><figcaption>Spomenik posve\u0107en Leonardu od Pise, autora Giovanni Paganucci &#8211; a. Spomenik je dovr\u0161en 1863. godine. Spomenik se nalazi na Katedralnom trgu u Pisi.<\/figcaption><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Knjiga &#8220;Liber Abaci&#8221;<\/strong><\/p>\n\n\n\n<p>Fibonacci je najpoznatiji po svojoj knjizi &#8220;<strong>Liber Abaci&#8221; (Knjiga Abakusa)<\/strong>, objavljenoj 1202. godine. Ova knjiga je popularizirala arapsko-hinduski numeri\u010dki sistem (koji uklju\u010duje nulu) u Europi, \u010dime je omogu\u0107ila jednostavnije ra\u010dunanje u trgova\u010dkim i matemati\u010dkim poslovima. Prije toga, Evropljani su koristili rimske brojeve, koji su bili mnogo manje prakti\u010dni za ra\u010dunanje.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"716\" height=\"968\" src=\"http:\/\/osmp.edu.ba\/wp-content\/uploads\/2024\/11\/florence-01r_enl.jpg\" alt=\"\" class=\"wp-image-12289\" srcset=\"https:\/\/osmp.edu.ba\/wp-content\/uploads\/2024\/11\/florence-01r_enl.jpg 716w, https:\/\/osmp.edu.ba\/wp-content\/uploads\/2024\/11\/florence-01r_enl-222x300.jpg 222w\" sizes=\"(max-width: 716px) 100vw, 716px\" \/><figcaption>Dio iz Fibonaccijeve knjige &#8220;Liber Abaci&#8221; objavljenje 1202. godine. Ova knjiga je popularizirala uvo\u0111enje nule i arapskih brojeva<br>FOTO: <em>National Library of Florence<\/em> <\/figcaption><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Fibonaccijev Niz<\/strong><\/p>\n\n\n\n<p>Jedan od najpoznatijih matemati\u010dkih koncepata povezanih s Fibonnacijem je Fibonaccijev niz. Ovaj niz brojeva po\u010dinje s 0 i 1, a svaki sljede\u0107i broj je zbroj prethodna dva broja:<br>0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55<br>Ovaj niz pojavljuje se u mnogim prirodnim fenomenima, uklju\u010duju\u0107i raspored listova na stablu, spiralne uzorke u suncokretu, te omjere u \u0161koljkama.<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Zlatni Rez<\/strong><\/p>\n\n\n\n<p>Fibonaccijev niz ima bliske veze sa <strong>zlatnim rezom (\u03c6)<\/strong>, iracionalnim brojem koji iznosi pribli\u017eno 1,6180339887&#8230; Omjeri uzastopnih Fibonaccijev brojeva te\u017ee zlatnom rezu kako niz raste. Ovaj omjer se \u010desto smatra estetski ugodnim i nalazi se u umjetnosti, arhitekturi i prirodi.<br><br>Fibonnacijev rad imao je zna\u010dajan utiecaj na razvoj matematike u Evropi. Njegov doprinos popularizaciji arapsko-hinduskog numeri\u010dkog sistema postavio je temelje za moderne metode ra\u010dunanja. Fibonaccijev niz i zlatni rez i dalje fasciniraju matemati\u010dare, umjetnike i nau\u010dnike \u0161irom svijeta. <\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"614\" height=\"1024\" src=\"http:\/\/osmp.edu.ba\/wp-content\/uploads\/2024\/11\/IMG_1126-614x1024.jpg\" alt=\"\" class=\"wp-image-12290\" srcset=\"https:\/\/osmp.edu.ba\/wp-content\/uploads\/2024\/11\/IMG_1126-614x1024.jpg 614w, https:\/\/osmp.edu.ba\/wp-content\/uploads\/2024\/11\/IMG_1126-180x300.jpg 180w, https:\/\/osmp.edu.ba\/wp-content\/uploads\/2024\/11\/IMG_1126.jpg 660w\" sizes=\"(max-width: 614px) 100vw, 614px\" \/><figcaption><strong>&#8221; The <\/strong><em><strong>Mona Lisa&#8221;<\/strong><\/em> je djelo poznatog italijanskog slikara Leonarda da Vincija na kojoj se mo\u017ee uo\u010diti zlatni rez.<br><br><\/figcaption><\/figure>\n\n\n\n<p>Vi\u0161e o zlatnom rezu i Fibonaccijevom nizu mo\u017eete pro\u010ditati u <a href=\"http:\/\/osmp.edu.ba\/?p=9696\">\u010dlanku<\/a>.<\/p>\n\n\n\n<p><em>\u010clanak je napisan upotrebom vje\u0161ta\u010dke inteligencije.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Fibonacci: Majstor Srednjovekovne Matematike Leonardo od Pise, poznatiji kao Fibonacci, bio je Italijanski matemati\u010dar ro\u0111en&#8230;<\/p>\n","protected":false},"author":1,"featured_media":12291,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[16],"tags":[],"class_list":["post-12287","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-zanimljivosti"],"_links":{"self":[{"href":"https:\/\/osmp.edu.ba\/index.php?rest_route=\/wp\/v2\/posts\/12287","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/osmp.edu.ba\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/osmp.edu.ba\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/osmp.edu.ba\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/osmp.edu.ba\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=12287"}],"version-history":[{"count":2,"href":"https:\/\/osmp.edu.ba\/index.php?rest_route=\/wp\/v2\/posts\/12287\/revisions"}],"predecessor-version":[{"id":12293,"href":"https:\/\/osmp.edu.ba\/index.php?rest_route=\/wp\/v2\/posts\/12287\/revisions\/12293"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/osmp.edu.ba\/index.php?rest_route=\/wp\/v2\/media\/12291"}],"wp:attachment":[{"href":"https:\/\/osmp.edu.ba\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=12287"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/osmp.edu.ba\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=12287"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/osmp.edu.ba\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=12287"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}