[{"@context":"https:\/\/schema.org\/","@type":"Article","@id":"https:\/\/www.beatrice.sk\/bozske-spojenie-prirody-a-matematiky\/#Article","mainEntityOfPage":"https:\/\/www.beatrice.sk\/bozske-spojenie-prirody-a-matematiky\/","headline":"Bo\u017esk\u00e9 spojenie pr\u00edrody a matematiky","name":"Bo\u017esk\u00e9 spojenie pr\u00edrody a matematiky","description":"Rozm\u00fd\u0161\u013eali ste niekedy nad t\u00fdm, ako sa pr\u00edroda sama tvor\u00ed okolo n\u00e1s? Ako v\u0161etko spolu kontrastuje,\u00a0vytv\u00e1ra nezamenite\u013en\u00e9 \u00fakazy? Zd\u00e1 sa, \u017ee to je v\u00fdsledok n\u00e1hody. Alebo nie? Ten spr\u00e1vny pomer elegancie Prekvapivo, aj medzi navonok \u00faplne odli\u0161n\u00fdmi vedami, ako je biol\u00f3gia a\u00a0matematika, existuje siln\u00e9 puto. T\u00fdmto putom je zlat\u00fd rez. Je to nekone\u010dn\u00e9 \u010d\u00edslo so […]","datePublished":"2019-11-10","dateModified":"2023-04-26","author":{"@type":"Person","@id":"https:\/\/www.beatrice.sk\/author\/#Person","name":"","url":"https:\/\/www.beatrice.sk\/author\/","identifier":1,"image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/c3c8c755425dd2471c09c708679d7ce7419edeb32b4db4bfbe1377eb9462fa49?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/c3c8c755425dd2471c09c708679d7ce7419edeb32b4db4bfbe1377eb9462fa49?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"beatrice.sk","logo":{"@type":"ImageObject","@id":"\/logo.png","url":"\/logo.png","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/www.beatrice.sk\/wp-content\/uploads\/img_a303783_w16839_t1564253346.jpg","url":"https:\/\/www.beatrice.sk\/wp-content\/uploads\/img_a303783_w16839_t1564253346.jpg","height":0,"width":0},"url":"https:\/\/www.beatrice.sk\/bozske-spojenie-prirody-a-matematiky\/","wordCount":461,"articleBody":"Rozm\u00fd\u0161\u013eali ste niekedy nad t\u00fdm, ako sa pr\u00edroda sama tvor\u00ed okolo n\u00e1s? Ako v\u0161etko spolu kontrastuje,\u00a0vytv\u00e1ra nezamenite\u013en\u00e9 \u00fakazy? Zd\u00e1 sa, \u017ee to je v\u00fdsledok n\u00e1hody. Alebo nie?Ten spr\u00e1vny pomer eleganciePrekvapivo, aj medzi navonok \u00faplne odli\u0161n\u00fdmi vedami, ako je biol\u00f3gia a\u00a0matematika, existuje siln\u00e9 puto. T\u00fdmto putom je zlat\u00fd rez.Je to nekone\u010dn\u00e9 \u010d\u00edslo so zauj\u00edmav\u00fdmi vlastnos\u0165ami. Rovn\u00e1 sa pribli\u017ene 1,618034 a\u00a0ozna\u010duje sa gr\u00e9ckym p\u00edsmenom f\u00ed\u00a0 (\u03c6). \u00a0Jedn\u00e1 sa o v\u00fdsledok geometrickej \u00falohy:\u00a0,,Rozde\u013ete \u00fase\u010dku s\u00a0d\u013a\u017ekou x na dve \u010dasti a\u00a0a\u00a0b tak, aby pomer a\u00a0ku b, bol rovnak\u00fd, ako pomer x ku a.\u201c \u00a0Rie\u0161en\u00edm tejto zlo\u017eitej \u00falohy je pr\u00e1ve \u03c6.\u00a0(Ne)skryt\u00e1 kr\u00e1saProporcie takmer v\u0161etk\u00e9ho na Zemi s\u00fa od neho odvoden\u00e9. Najzrete\u013enej\u0161\u00ed \u00a0je na semienkach slne\u010dnice, \u0161i\u0161k\u00e1ch, \u010di priereze ulity m\u00e4kk\u00fd\u0161a. \u00a0A nejedn\u00e1 sa len o\u00a0prirodzen\u00e9 v\u00fdtvory zemegule. Tvary zlat\u00e9ho rezu s\u00fa samy o\u00a0sebe pova\u017eovan\u00e9 za pr\u00ed\u0165a\u017eliv\u00e9 a\u00a0ich aplikovate\u013enos\u0165 je neobmedzen\u00e1.Kedy presne na\u0148 \u013eudstvo pri\u0161lo nie je tak \u00faplne jasn\u00e9. Niektor\u00fd zast\u00e1vaj\u00fa n\u00e1zor, \u017ee sa d\u00e1 n\u00e1js\u0165 u\u017e pri Egyptsk\u00fdch pyram\u00eddach, in\u00fd tvrdia, \u017ee na jeho princ\u00edp ako prv\u00fd pri\u0161iel o\u00a0nieko\u013eko rokov nesk\u00f4r Pytagoras. V\u00a0ka\u017edom pr\u00edpade jeho zadefinovanie pripisujeme Euklidovi. V\u00a0jeho \u0161t\u00fadiu nesk\u00f4r pokra\u010doval Luca Pacioli, ktor\u00fd bol in\u0161pirovan\u00fd jeho priate\u013emi umelcami.Jedn\u00fdm z\u00a0t\u00fdchto umelcov bol Leonardo Da Vinci. Tento vyn\u00e1lezca a\u00a0maliar spojil umenie s\u00a0logikou. V\u00e4\u010d\u0161ina jeho n\u00e1kresov sa zakladala pr\u00e1ve na t\u00fdchto pr\u00ed\u0165a\u017eliv\u00fdch tvaroch. Ba aj Mona Lisa je nama\u013eovan\u00e1 na tomto princ\u00edpe. Pr\u00e1ve tento fakt ju rob\u00ed takou o\u010daruj\u00facou a\u00a0v\u0161eobecne zn\u00e1mou.Postupnos\u0165 naz\u00fdvan\u00e1 \u201ezlat\u00e1 cesta\u201cJedn\u00fdm zo sp\u00f4sobov ako sa k\u00a0tomuto pomeru dopo\u010d\u00edta\u0165, je Fibonacciho postupnos\u0165. Fibonacciho \u010d\u00edsla pomenoval \u00c9douard Lucas pod\u013ea ist\u00e9ho stredovek\u00e9ho matematika, ktor\u00e9ho prez\u00fdvali Fibonacci.Je to jednoduch\u00fd sled \u010d\u00edsel, s\u00a0\u013eahko pochopite\u013en\u00fdm pravidlom. Ka\u017ed\u00e9 \u010fal\u0161ie \u010d\u00edslo sa rovn\u00e1 s\u00fa\u010dtu dvoch predch\u00e1dzaj\u00facich. \u00a0\u010ci\u017ee ak za\u010dneme od nuly, postupnos\u0165 bude vyzera\u0165: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34… Tak\u00e9to numerick\u00e9 poradia sa hojne zobrazuj\u00fa v pr\u00edrode \u2013 a\u00a0v\u00a0dne\u0161nej dobe aj v\u00a0oblasti IT (bin\u00e1rne re\u0165azce).\u00a0Zlat\u00fd rez sa m\u00f4\u017ee pova\u017eova\u0165 za ak\u00fdsi ukazovate\u013e atrakt\u00edvnosti. Zobrazuje symetrick\u00e9, presn\u00e9 a\u00a0oku lahodiace obrazce. Svet n\u00edm bol, je, a\u00a0pod\u013ea v\u0161etk\u00e9ho e\u0161te aj dlho bude, fascinovan\u00fd.                                                                                                                                                                                                                                                                                                                                                                                        3.9\/5 - (14 votes)        "},{"@context":"https:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"name":"Bo\u017esk\u00e9 spojenie pr\u00edrody a matematiky","item":"https:\/\/www.beatrice.sk\/bozske-spojenie-prirody-a-matematiky\/#breadcrumbitem"}]}]