Nh\u00e0 l\u00fd thuy\u1ebft v\u1ec1 t\u00ednh to\u00e1n origami Erik Demaine \u0111\u00e3 \u0111\u1ea9y l\u00f9i ranh gi\u1edbi c\u1ee7a origami, t\u1ea1o ra nh\u1eefng t\u00e1c ph\u1ea9m \u0111i\u00eau kh\u1eafc th\u00e1ch th\u1ee9c nh\u1eadn th\u1ee9c truy\u1ec1n th\u1ed1ng v\u1ec1 nh\u1eefng \u0111i\u1ec1u c\u00f3 th\u1ec3 l\u00e0m \u0111\u01b0\u1ee3c khi g\u1ea5p gi\u1ea5y. B\u1eb1ng c\u00e1ch lu\u00e2n phi\u00ean c\u00e1c n\u1ebfp g\u1ea5p n\u00fai v\u00e0 thung l\u0169ng trong c\u00e1c h\u00ecnh vu\u00f4ng \u0111\u1ed3ng t\u00e2m, Demaine \u0111\u00e3 \u0111\u1ea1t \u0111\u01b0\u1ee3c nh\u1eefng \u0111i\u1ec1u tr\u01b0\u1edbc \u0111\u00e2y kh\u00f4ng t\u01b0\u1edfng: paraboloid hypebol, m\u1ed9t h\u00ecnh d\u1ea1ng \u0111\u01b0\u1ee3c cho l\u00e0 kh\u00f4ng th\u1ec3 \u0111\u1ea1t \u0111\u01b0\u1ee3c trong origami.<\/p>\n\n
B\u00ed m\u1eadt n\u1eb1m \u1edf c\u00e1c m\u1eabu g\u1ea5p n\u1ebfp ph\u1ee9c t\u1ea1p m\u00e0 Demaine t\u1ea1o ra, t\u1ea1o ra c\u00e1c c\u1ea5u tr\u00fac “n\u1ea3y th\u00e0nh h\u00ecnh y\u00ean ng\u1ef1a” gi\u1ed1ng nh\u01b0 m\u1ed9t chi\u1ebfc b\u00e1nh quy gi\u00f2n Pringles. C\u00e1c t\u00e1c ph\u1ea9m \u0111i\u00eau kh\u1eafc c\u1ee7a Demaine kh\u00f4ng ch\u1ec9 tuy\u1ec7t \u0111\u1eb9p v\u1ec1 m\u1eb7t th\u1ecb gi\u00e1c m\u00e0 c\u00f2n \u0111\u1eb7t ra nh\u1eefng c\u00e2u h\u1ecfi c\u01a1 b\u1ea3n v\u1ec1 c\u01a1 h\u1ecdc g\u1ea5p gi\u1ea5y.<\/p>\n\n
Origami c\u00f3 ngu\u1ed3n g\u1ed1c t\u1eeb Nh\u1eadt B\u1ea3n v\u00e0o n\u0103m 1797, v\u1edbi vi\u1ec7c xu\u1ea5t b\u1ea3n cu\u1ed1n s\u00e1ch “Sembazuru Orikata” c\u1ee7a Akisato Rito. V\u00e0o nh\u1eefng n\u0103m 1800, origami tr\u1edf th\u00e0nh ho\u1ea1t \u0111\u1ed9ng ph\u1ed5 bi\u1ebfn \u1edf c\u00e1c l\u1edbp h\u1ecdc \u1edf ch\u00e2u \u00c2u v\u00e0 v\u00e0o nh\u1eefng n\u0103m 1950, origami \u0111\u00e3 tr\u1edf th\u00e0nh m\u1ed9t lo\u1ea1i h\u00ecnh ngh\u1ec7 thu\u1eadt hi\u1ec7n \u0111\u1ea1i d\u01b0\u1edbi s\u1ef1 d\u1eabn d\u1eaft c\u1ee7a ngh\u1ec7 s\u0129 ng\u01b0\u1eddi Nh\u1eadt Akira Yoshizawa.<\/p>\n\n
Nh\u1eefng ngh\u1ec7 s\u0129 origami \u0111\u01b0\u01a1ng \u0111\u1ea1i nh\u01b0 Eric Joisel v\u00e0 Robert Lang \u0111\u00e3 ph\u00e1 v\u1ee1 nhi\u1ec1u gi\u1edbi h\u1ea1n h\u01a1n n\u1eefa, t\u1ea1o ra nh\u1eefng h\u00ecnh \u0111\u1ed9ng v\u1eadt v\u00e0 ng\u01b0\u1eddi s\u1ed1ng \u0111\u1ed9ng nh\u01b0 th\u1eadt, c\u00f9ng c\u00e1c t\u00e1c ph\u1ea9m ph\u1ee9c t\u1ea1p \u0111\u00e3 \u0111\u01b0\u1ee3c tr\u01b0ng b\u00e0y t\u1ea1i c\u00e1c vi\u1ec7n b\u1ea3o t\u00e0ng uy t\u00edn nh\u01b0 Louvre v\u00e0 B\u1ea3o t\u00e0ng Ngh\u1ec7 thu\u1eadt Hi\u1ec7n \u0111\u1ea1i.<\/p>\n\n
Origami c\u00f3 m\u1ed1i li\u00ean h\u1ec7 s\u00e2u s\u1eafc v\u1edbi to\u00e1n h\u1ecdc, \u0111\u1eb7c bi\u1ec7t l\u00e0 h\u00ecnh h\u1ecdc. V\u1ea5n \u0111\u1ec1 g\u1ea5p v\u00e0 c\u1eaft, l\u1ea7n \u0111\u1ea7u ti\u00ean \u0111\u01b0\u1ee3c n\u00eau ra trong m\u1ed9t cu\u1ed1n s\u00e1ch ti\u1ebfng Nh\u1eadt v\u00e0o n\u0103m 1721, \u0111\u1eb7t c\u00e2u h\u1ecfi r\u1eb1ng c\u00f3 bao nhi\u00eau h\u00ecnh d\u1ea1ng kh\u00e1c nhau c\u00f3 th\u1ec3 t\u1ea1o ra b\u1eb1ng c\u00e1ch g\u1ea5p m\u1ed9t t\u1edd gi\u1ea5y h\u00ecnh ch\u1eef nh\u1eadt v\u00e0 th\u1ef1c hi\u1ec7n m\u1ed9t l\u1ea7n c\u1eaft duy nh\u1ea5t. Gi\u1ea3i ph\u00e1p c\u1ee7a Demaine cho b\u00e0i to\u00e1n n\u00e0y \u0111\u00e3 c\u00f3 t\u1eeb nhi\u1ec1u th\u1ebf k\u1ef7 tr\u01b0\u1edbc \u0111\u00e3 ch\u1ee9ng minh r\u1eb1ng b\u1ea5t k\u1ef3 h\u00ecnh d\u1ea1ng n\u00e0o c\u0169ng c\u00f3 th\u1ec3 \u0111\u1ea1t \u0111\u01b0\u1ee3c n\u1ebfu c\u00f3 b\u1ea3n v\u1ebd h\u00ecnh h\u1ecdc ch\u00ednh x\u00e1c.<\/p>\n\n
C\u00e1c ch\u01b0\u01a1ng tr\u00ecnh m\u00e1y t\u00ednh \u0111\u00e3 c\u00e1ch m\u1ea1ng h\u00f3a l\u0129nh v\u1ef1c origami. Ph\u1ea7n m\u1ec1m nh\u01b0 TreeMaker v\u00e0 Origamizer cho ph\u00e9p ng\u01b0\u1eddi d\u00f9ng thi\u1ebft k\u1ebf v\u00e0 kh\u00e1m ph\u00e1 c\u00e1c m\u1eabu g\u1ea5p n\u1ebfp ph\u1ee9c t\u1ea1p, cho ph\u00e9p t\u1ea1o ra c\u00e1c h\u00ecnh d\u1ea1ng tinh x\u1ea3o v\u00e0 s\u00e1ng t\u1ea1o.<\/p>\n\n
Ngo\u00e0i gi\u00e1 tr\u1ecb ngh\u1ec7 thu\u1eadt, origami c\u00f2n t\u00ecm th\u1ea5y c\u00e1c \u1ee9ng d\u1ee5ng th\u1ef1c t\u1ebf trong nhi\u1ec1u l\u0129nh v\u1ef1c. C\u00e1c nh\u00e0 s\u1ea3n xu\u1ea5t \u00f4 t\u00f4 s\u1eed d\u1ee5ng to\u00e1n h\u1ecdc origami \u0111\u1ec3 thi\u1ebft k\u1ebf t\u00fai kh\u00ed c\u00f3 th\u1ec3 g\u1ea5p l\u1ea1i m\u1ed9t c\u00e1ch hi\u1ec7u qu\u1ea3. C\u00e1c k\u1ef9 s\u01b0 \u0111ang kh\u00e1m ph\u00e1 vi\u1ec7c s\u1eed d\u1ee5ng c\u00e1c c\u1ea5u tr\u00fac origami trong s\u1ea3n xu\u1ea5t nano, t\u1ea1o ra c\u00e1c v\u1eadt th\u1ec3 ph\u1eb3ng c\u00f3 th\u1ec3 bi\u1ebfn \u0111\u1ed5i th\u00e0nh c\u00e1c h\u00ecnh d\u1ea1ng 3D. Ngo\u00e0i ra, c\u00e1c nguy\u00ean l\u00fd origami c\u00f3 th\u1ec3 h\u1ed7 tr\u1ee3 thi\u1ebft k\u1ebf c\u00e1c protein t\u1ed5ng h\u1ee3p ch\u1ed1ng l\u1ea1i vi-r\u00fat.<\/p>\n\n
Erik Demaine v\u00e0 cha c\u1ee7a \u00f4ng, Martin, \u0111\u00e3 h\u1ee3p t\u00e1c \u0111\u1ec3 t\u1ea1o ra nh\u1eefng t\u00e1c ph\u1ea9m \u0111i\u00eau kh\u1eafc origami \u0111\u1ea7y m\u00ea ho\u1eb7c. C\u00e1c t\u00e1c ph\u1ea9m c\u1ee7a h\u1ecd \u0111\u00e3 \u0111\u01b0\u1ee3c tr\u01b0ng b\u00e0y t\u1ea1i Ph\u00f2ng tr\u01b0ng b\u00e0y Renwick c\u1ee7a Smithsonian, th\u1ec3 hi\u1ec7n s\u1ef1 giao thoa gi\u1eefa ngh\u1ec7 thu\u1eadt v\u00e0 to\u00e1n h\u1ecdc.<\/p>\n\n
Origami ti\u1ebfp t\u1ee5c thu h\u00fat c\u00e1c ngh\u1ec7 s\u0129 v\u00e0 nh\u00e0 to\u00e1n h\u1ecdc, mang \u0111\u1ebfn s\u1ef1 k\u1ebft h\u1ee3p \u0111\u1ed9c \u0111\u00e1o gi\u1eefa s\u1ef1 s\u00e1ng t\u1ea1o, ch\u00ednh x\u00e1c v\u00e0 gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1. Nh\u01b0 Demaine \u0111\u00e3 ch\u1ec9 ra m\u1ed9t c\u00e1ch kh\u00e9o l\u00e9o: “Ch\u00fang t\u00f4i \u0111\u00e3 t\u00ecm ra m\u1ed9t b\u00e0i to\u00e1n to\u00e1n h\u1ecdc truy\u1ec1n c\u1ea3m h\u1ee9ng cho ngh\u1ec7 thu\u1eadt m\u1edbi \u2014 v\u00e0 m\u1ed9t b\u00e0i to\u00e1n ngh\u1ec7 thu\u1eadt truy\u1ec1n c\u1ea3m h\u1ee9ng cho to\u00e1n h\u1ecdc m\u1edbi”.<\/p>","protected":false},"excerpt":{"rendered":"
Origami: N\u01a1i ngh\u1ec7 thu\u1eadt \u0111i\u00eau kh\u1eafc h\u1ed9i ng\u1ed9 to\u00e1n h\u1ecdc Origami to\u00e1n h\u1ecdc: Th\u00e1ch th\u1ee9c nh\u1eefng \u0111i\u1ec1u kh\u00f4ng t\u01b0\u1edfng Nh\u00e0 l\u00fd thuy\u1ebft v\u1ec1 t\u00ednh to\u00e1n origami Erik Demaine \u0111\u00e3 \u0111\u1ea9y…<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2379],"tags":[22409,1374,22410,22407,22408,2402,214],"class_list":["post-16958","post","type-post","status-publish","format-standard","hentry","category-sculpture","tag-computational-origami","tag-sculpture","tag-erik-demaine","tag-hyperbolic-paraboloid","tag-crease-patterns","tag-origami","tag-mathematics"],"_links":{"self":[{"href":"https:\/\/www.lifescienceart.com\/vi\/wp-json\/wp\/v2\/posts\/16958","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.lifescienceart.com\/vi\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.lifescienceart.com\/vi\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.lifescienceart.com\/vi\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.lifescienceart.com\/vi\/wp-json\/wp\/v2\/comments?post=16958"}],"version-history":[{"count":1,"href":"https:\/\/www.lifescienceart.com\/vi\/wp-json\/wp\/v2\/posts\/16958\/revisions"}],"predecessor-version":[{"id":16959,"href":"https:\/\/www.lifescienceart.com\/vi\/wp-json\/wp\/v2\/posts\/16958\/revisions\/16959"}],"wp:attachment":[{"href":"https:\/\/www.lifescienceart.com\/vi\/wp-json\/wp\/v2\/media?parent=16958"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.lifescienceart.com\/vi\/wp-json\/wp\/v2\/categories?post=16958"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.lifescienceart.com\/vi\/wp-json\/wp\/v2\/tags?post=16958"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}