{"id":1793,"date":"2010-07-05T01:19:16","date_gmt":"2010-07-05T00:19:16","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=1793"},"modified":"2026-06-05T21:43:47","modified_gmt":"2026-06-05T20:43:47","slug":"dimensions-um-passeio-matematico","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=1793","title":{"rendered":"Dimensions \u2013 Um passeio matem\u00e1tico\u2026"},"content":{"rendered":"<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/07\/Dimensions.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"1814\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=1814\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/07\/Dimensions.jpg\" data-orig-size=\"274,400\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"Dimensions\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/07\/Dimensions.jpg\" class=\"alignright wp-image-1814 size-full\" title=\"Dimensions\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/07\/Dimensions.jpg\" alt=\"Dimensions - Um Passeio Matem\u00e1tico...\" width=\"274\" height=\"400\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/07\/Dimensions.jpg 274w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/07\/Dimensions-205x300.jpg 205w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/07\/Dimensions-102x150.jpg 102w\" sizes=\"auto, (max-width: 274px) 100vw, 274px\" \/><\/a>Um filme para todos. Nove cap\u00edtulos, duas horas de matem\u00e1tica, para descobrir progressivamente a quarta dimens\u00e3o. Vertigens matem\u00e1ticas garantidas!<\/p>\n<p>Como em <a href=\"https:\/\/www.acasinhadamatematica.pt\/?p=11920\">CAOS \u2013 Uma Aventura Matem\u00e1tica<\/a>, este filme \u00e9 distribu\u00eddo sob a licen\u00e7a de<a href=\"https:\/\/creativecommons.org\/\" target=\"new\" rel=\"noopener\"><em>Creative Commons<\/em><\/a><em>.<br \/>\n<\/em>Filme produzido por:<\/p>\n<ul>\n<li><a href=\"https:\/\/www.josleys.com\/\" target=\"_blank\" rel=\"noopener\">Jos Leys<\/a> (Gr\u00e1ficos e anima\u00e7\u00f5es)<\/li>\n<li><a href=\"https:\/\/perso.ens-lyon.fr\/ghys\/accueil\/\" target=\"_blank\" rel=\"noopener\">\u00c9tienne Ghys<\/a> (Gr\u00e1ficos e anima\u00e7\u00f5es)<\/li>\n<li><a href=\"https:\/\/aurelienalvarez.org\/\" target=\"_blank\" rel=\"noopener\">Aur\u00e9lien Alvarez<\/a> (Realiza\u00e7\u00e3o e edi\u00e7\u00e3o)<\/li>\n<\/ul>\n<p><a href=\"http:\/\/www.dimensions-math.org\/\" target=\"_blank\" rel=\"noopener\">DIMENSIONS &#8211;\u00a0P\u00e1gina Internet do Filme<\/a><\/p>\n<ul>\n<li><strong>Cap\u00edtulo 1 &#8211; A dimens\u00e3o dois<br \/>\n<\/strong>Hiparco explica como localizar um lugar na Terra a partir de dois n\u00fameros&#8230; e mostra atrav\u00e9s da proje\u00e7\u00e3o estereogr\u00e1fica como desenhar um mapa-mundi.<\/li>\n<li><strong>Cap\u00edtulo 2 &#8211; A dimens\u00e3o tr\u00eas<br \/>\n<\/strong>M. C. Escher conta aventuras de criaturas de dimens\u00e3o 2 que procuram imaginar objetos de dimens\u00e3o 3.<\/li>\n<li><strong>Cap\u00edtulos 3 e 4 &#8211; A quarta dimens\u00e3o<br \/>\n<\/strong>O matem\u00e1tico Ludwig Schl\u00e4fli fala de objetos na quarta dimens\u00e3o&#8230; e mostra um desfile de poliedros regulares, em dimens\u00e3o 4, objetos estranhos com 24, 120 e mesmo 600 faces!<\/li>\n<li><strong>Cap\u00edtulos 5 e 6 &#8211; N\u00fameros complexos<br \/>\n<\/strong>O matem\u00e1tico Adrien Douady explica os n\u00fameros complexos. A raiz quadrada de n\u00fameros negativos \u00e9 explicada de forma simples. Transformar o plano, deformar imagens, criar imagens fractais&#8230;<\/li>\n<li><strong>Cap\u00edtulos 7 e 8 &#8211; Fibra\u00e7\u00e3o<br \/>\n<\/strong>O matem\u00e1tico Heinz Hopf descreve a sua \u201cfibra\u00e7\u00e3o\u201d. Gra\u00e7as aos n\u00fameros complexos, constr\u00f3i belos arranjos de c\u00edrculos no espa\u00e7o. C\u00edrculos, toros, tudo girando no espa\u00e7o&#8230; de dimens\u00e3o 4!<\/li>\n<li><strong>Cap\u00edtulo 9 &#8211; Uma prova matem\u00e1tica<br \/>\n<\/strong>O matem\u00e1tico Bernhard Riemann explica a import\u00e2ncia das demonstra\u00e7\u00f5es em matem\u00e1tica. Demonstra um teorema sobre a proje\u00e7\u00e3o estereogr\u00e1fica.<\/li>\n<\/ul>\n<p style=\"text-align: center;\"><iframe loading=\"lazy\" width=\"853\" height=\"480\" src=\"\/\/www.youtube-nocookie.com\/embed\/6cpTEPT5i0A?list=PL3C690048E1531DC7\" frameborder=\"0\" allowfullscreen><\/iframe><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Um filme para todos. Nove cap\u00edtulos, duas horas de matem\u00e1tica, para descobrir progressivamente a quarta dimens\u00e3o. Vertigens matem\u00e1ticas garantidas! Como em CAOS \u2013 Uma Aventura Matem\u00e1tica, este filme \u00e9 distribu\u00eddo sob a licen\u00e7a deCreative&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":21265,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[3,7],"tags":[15,16,17,18,19,20],"series":[],"class_list":["post-1793","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematica","category-video","tag-escher","tag-filme","tag-fractais","tag-numeros-complexos","tag-projeccao-estereografica","tag-quarta-dimensao"],"views":5346,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/07\/Dimensions\u2013Um_passeio_matematico_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/1793","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1793"}],"version-history":[{"count":4,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/1793\/revisions"}],"predecessor-version":[{"id":28046,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/1793\/revisions\/28046"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/21265"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1793"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1793"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1793"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=1793"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}