{"id":16958,"date":"2020-06-07T01:15:07","date_gmt":"2020-06-07T01:15:07","guid":{"rendered":"https:\/\/www.lifescienceart.com\/?p=16958"},"modified":"2020-06-07T01:15:07","modified_gmt":"2020-06-07T01:15:07","slug":"origami-where-sculpture-meets-mathematics","status":"publish","type":"post","link":"https:\/\/www.lifescienceart.com\/cs\/art\/sculpture\/origami-where-sculpture-meets-mathematics\/","title":{"rendered":"Origami: Kde se socha\u0159stv\u00ed potk\u00e1v\u00e1 s matematikou"},"content":{"rendered":"<h2 class=\"wp-block-heading\">Origami: Kde se socha\u0159stv\u00ed potk\u00e1v\u00e1 s matematikou<\/h2>\n\n<h2 class=\"wp-block-heading\">Matematick\u00e9 origami: Vzdoruje nemo\u017en\u00e9mu<\/h2>\n\n<p>Teoretik v\u00fdpo\u010detn\u00edho origami Erik Demaine posunul hranice origami a vytvo\u0159il sochy, kter\u00e9 vzdoruj\u00ed tradi\u010dn\u00edmu ch\u00e1p\u00e1n\u00ed toho, co je mo\u017en\u00e9 ud\u011blat se skl\u00e1d\u00e1n\u00edm pap\u00edru. St\u0159\u00edd\u00e1n\u00edm vrchol\u016f a \u00fadol\u00ed v soust\u0159edn\u00fdch \u010dtverc\u00edch Demaine dos\u00e1hl d\u0159\u00edve nemo\u017en\u00e9ho: hyperbolick\u00fdch paraboloid\u016f, tvaru, kter\u00fd byl pova\u017eov\u00e1n v origami za nedosa\u017eiteln\u00fd.<\/p>\n\n<p>Tajemstv\u00ed spo\u010d\u00edv\u00e1 ve slo\u017eit\u00fdch vzorech p\u0159ehyb\u016f, kter\u00e9 Demaine vytv\u00e1\u0159\u00ed, co\u017e vede ke struktur\u00e1m, kter\u00e9 &#8220;vysko\u010d\u00ed do sedlov\u00e9ho tvaru&#8221; p\u0159ipom\u00ednaj\u00edc\u00edho bramb\u016frku Pringle. Demainovy sochy nejsou jen vizu\u00e1ln\u011b ohromuj\u00edc\u00ed, ale tak\u00e9 vyvol\u00e1vaj\u00ed z\u00e1kladn\u00ed ot\u00e1zky o mechanice skl\u00e1d\u00e1n\u00ed pap\u00edru.<\/p>\n\n<h2 class=\"wp-block-heading\">Historie origami<\/h2>\n\n<p>Po\u010d\u00e1tky origami lze vysledovat do roku 1797 v Japonsku, kdy vy\u0161la kniha Akisata Rita &#8220;Sembazuru Orikata&#8221;. V 19. stolet\u00ed se origami stalo popul\u00e1rn\u00ed \u0161koln\u00ed aktivitou v Evrop\u011b a v 50. letech 20. stolet\u00ed se vyvinulo v modern\u00ed um\u011bleckou formu pod veden\u00edm japonsk\u00e9ho um\u011blce Akiry Yoshizawy.<\/p>\n\n<p>Sou\u010dasn\u00ed um\u011blci origami, jako jsou Eric Joisel a Robert Lang, posunuli hranice je\u0161t\u011b d\u00e1le a vytvo\u0159ili realistick\u00e9 zv\u00ed\u0159ec\u00ed a lidsk\u00e9 postavy a slo\u017eit\u00e9 kompozice, kter\u00e9 byly vystaveny v presti\u017en\u00edch instituc\u00edch, jako je Louvre a Museum of Modern Art.<\/p>\n\n<h2 class=\"wp-block-heading\">Origami a matematika<\/h2>\n\n<p>Origami m\u00e1 hlubok\u00e9 spojen\u00ed s matematikou, zejm\u00e9na s geometri\u00ed. Probl\u00e9m skl\u00e1d\u00e1n\u00ed a st\u0159\u00edh\u00e1n\u00ed, kter\u00fd byl poprv\u00e9 p\u0159edstaven v japonsk\u00e9 knize v roce 1721, se pt\u00e1, kolik r\u016fzn\u00fdch tvar\u016f lze vytvo\u0159it slo\u017een\u00edm obd\u00e9ln\u00edkov\u00e9ho kusu pap\u00edru a proveden\u00edm jedin\u00e9ho \u0159ezu. Demainovo \u0159e\u0161en\u00ed tohoto stalet\u00e9ho probl\u00e9mu uk\u00e1zalo, \u017ee jak\u00fdkoli tvar je mo\u017en\u00fd, pokud m\u00e1te spr\u00e1vn\u00fd geometrick\u00fd pl\u00e1n.<\/p>\n\n<h2 class=\"wp-block-heading\">V\u00fdpo\u010detn\u00ed origami<\/h2>\n\n<p>Po\u010d\u00edta\u010dov\u00e9 programy zp\u016fsobily revoluci v oblasti origami. Software jako TreeMaker a Origamizer umo\u017e\u0148uje u\u017eivatel\u016fm navrhovat a zkoumat slo\u017eit\u00e9 vzory skl\u00e1d\u00e1n\u00ed, co\u017e umo\u017e\u0148uje vytv\u00e1\u0159et slo\u017eit\u00e9 a inovativn\u00ed tvary.<\/p>\n\n<h2 class=\"wp-block-heading\">Origami v praktick\u00fdch aplikac\u00edch<\/h2>\n\n<p>Krom\u011b sv\u00e9 um\u011bleck\u00e9 hodnoty na\u0161lo origami praktick\u00e9 vyu\u017eit\u00ed v r\u016fzn\u00fdch oblastech. V\u00fdrobci automobil\u016f pou\u017e\u00edvaj\u00ed matematiku origami k navrhov\u00e1n\u00ed airbag\u016f, kter\u00e9 se efektivn\u011b skl\u00e1daj\u00ed. In\u017een\u00fd\u0159i zkoumaj\u00ed vyu\u017eit\u00ed origami struktur v nanotechnologi\u00edch a vytv\u00e1\u0159ej\u00ed ploch\u00e9 objekty, kter\u00e9 lze p\u0159em\u011bnit na 3D tvary. Principy origami by nav\u00edc mohly pomoci navrhnout syntetick\u00e9 proteiny bojuj\u00edc\u00ed proti vir\u016fm.<\/p>\n\n<h2 class=\"wp-block-heading\">Duo otec a syn<\/h2>\n\n<p>Erik Demaine a jeho otec Martin spolupracovali na vytvo\u0159en\u00ed fascinuj\u00edc\u00edch origami soch. Jejich pr\u00e1ce byla p\u0159edstavena v Renwickov\u011b galerii Smithsonova institutu a ukazuje pr\u016fnik um\u011bn\u00ed a matematiky.<\/p>\n\n<h2 class=\"wp-block-heading\">P\u016fvab origami<\/h2>\n\n<p>Origami neust\u00e1le fascinuje um\u011blce a matematiky a nab\u00edz\u00ed jedine\u010dnou kombinaci kreativity, p\u0159esnosti a \u0159e\u0161en\u00ed probl\u00e9m\u016f. Jak Demaine v\u00fdsti\u017en\u011b \u0159\u00edk\u00e1: &#8220;P\u0159i\u0161li jsme s matematick\u00fdm probl\u00e9mem, kter\u00fd inspiruje nov\u00e9 um\u011bn\u00ed \u2013 a um\u011bleck\u00fdm probl\u00e9mem, kter\u00fd inspiruje novou matematiku.&#8221;<\/p>","protected":false},"excerpt":{"rendered":"<p>Origami: Kde se socha\u0159stv\u00ed potk\u00e1v\u00e1 s matematikou Matematick\u00e9 origami: Vzdoruje nemo\u017en\u00e9mu Teoretik v\u00fdpo\u010detn\u00edho origami Erik Demaine posunul hranice origami a vytvo\u0159il sochy, kter\u00e9 vzdoruj\u00ed tradi\u010dn\u00edmu ch\u00e1p\u00e1n\u00ed toho, co je mo\u017en\u00e9&hellip;<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2379],"tags":[22409,22410,22407,214,2402,1374,22408],"class_list":["post-16958","post","type-post","status-publish","format-standard","hentry","category-sculpture","tag-computational-origami","tag-erik-demaine","tag-hyperbolic-paraboloid","tag-mathematics","tag-origami","tag-sculpture","tag-crease-patterns"],"_links":{"self":[{"href":"https:\/\/www.lifescienceart.com\/cs\/wp-json\/wp\/v2\/posts\/16958","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.lifescienceart.com\/cs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.lifescienceart.com\/cs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.lifescienceart.com\/cs\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.lifescienceart.com\/cs\/wp-json\/wp\/v2\/comments?post=16958"}],"version-history":[{"count":1,"href":"https:\/\/www.lifescienceart.com\/cs\/wp-json\/wp\/v2\/posts\/16958\/revisions"}],"predecessor-version":[{"id":16959,"href":"https:\/\/www.lifescienceart.com\/cs\/wp-json\/wp\/v2\/posts\/16958\/revisions\/16959"}],"wp:attachment":[{"href":"https:\/\/www.lifescienceart.com\/cs\/wp-json\/wp\/v2\/media?parent=16958"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.lifescienceart.com\/cs\/wp-json\/wp\/v2\/categories?post=16958"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.lifescienceart.com\/cs\/wp-json\/wp\/v2\/tags?post=16958"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}