{"id":581,"date":"2019-04-06T13:51:46","date_gmt":"2019-04-06T11:51:46","guid":{"rendered":"http:\/\/7demates.epsem.upc.edu\/?p=581"},"modified":"2019-04-06T13:51:46","modified_gmt":"2019-04-06T11:51:46","slug":"frisem-amb-els-7-frisos-del-7demates-i-demostrem-larea-maxima","status":"publish","type":"post","link":"https:\/\/7demates.upc.edu\/index.php\/2019\/04\/06\/frisem-amb-els-7-frisos-del-7demates-i-demostrem-larea-maxima\/","title":{"rendered":"Frisem amb els 7 frisos del 7demates i demostrem l&#8217;\u00e0rea m\u00e0xima!"},"content":{"rendered":"<p>Qu\u00e8 \u00e9s una isometria? Quants moviments existeixen en un pla? Com els anomenem? Quants moviments al pla poden deixar invariant un fris? Sab\u00edeu que qualsevol isometria \u00e9s una composici\u00f3, com a molt, de 3 simetries?<\/p>\n<p>La sessi\u00f3 d&#8217;aquest dissabte 6 d&#8217;abril es titulava \u00abFrisant pels moviments del pla\u00bb i consistia de dues parts. A la primera part, s&#8217;han introdu\u00eft i treballat els moviments del pla (isometries). A la segona part, hem definit qu\u00e8 \u00e9s un fris, com es classifiquen els frisos i tamb\u00e9 n&#8217;han pogut construir un.<\/p>\n<p>Tot aix\u00f2 \u00e9s el que hem vist al <span class=\"hiddenSpellError\">7demates!<\/span><\/p>\n<p><span class=\"st\">Donat un per\u00edmetre, el cercle \u00e9s la corba tancada que cont\u00e9 l&#8217;\u00e0rea m\u00e0xima. A<\/span> l&#8217;Anemx+matem\u00e0tiques ho hem demostrat mentre treball\u00e0vem amb isoperimetries i diferents pol\u00edgons. A la segona part, hem passat a les 3 dimensions fent bombolles de sab\u00f3 que il\u00b7lustren les superf\u00edcies m\u00ednimes. Gr\u00e0cies, Joan Porti per compartir la teva geometria.<\/p>\n<div id='gallery-1' class='gallery galleryid-581 gallery-columns-2 gallery-size-medium'><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/7demates.upc.edu\/index.php\/2019\/04\/06\/frisem-amb-els-7-frisos-del-7demates-i-demostrem-larea-maxima\/foto-9\/'><img loading=\"lazy\" decoding=\"async\" width=\"225\" height=\"300\" src=\"https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-9-scaled-1-225x300.jpg\" class=\"attachment-medium size-medium\" alt=\"\" srcset=\"https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-9-scaled-1-225x300.jpg 225w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-9-scaled-1-768x1024.jpg 768w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-9-scaled-1-1152x1536.jpg 1152w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-9-scaled-1-1536x2048.jpg 1536w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-9-scaled-1.jpg 1920w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/7demates.upc.edu\/index.php\/2019\/04\/06\/frisem-amb-els-7-frisos-del-7demates-i-demostrem-larea-maxima\/foto-3-2\/'><img loading=\"lazy\" decoding=\"async\" width=\"225\" height=\"300\" src=\"https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-3-1-scaled-1-225x300.jpg\" class=\"attachment-medium size-medium\" alt=\"\" srcset=\"https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-3-1-scaled-1-225x300.jpg 225w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-3-1-scaled-1-768x1024.jpg 768w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-3-1-scaled-1-1152x1536.jpg 1152w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-3-1-scaled-1-1536x2048.jpg 1536w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-3-1-scaled-1.jpg 1920w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/7demates.upc.edu\/index.php\/2019\/04\/06\/frisem-amb-els-7-frisos-del-7demates-i-demostrem-larea-maxima\/foto-2-2\/'><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"225\" src=\"https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-2-1-scaled-1-300x225.jpg\" class=\"attachment-medium size-medium\" alt=\"\" srcset=\"https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-2-1-scaled-1-300x225.jpg 300w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-2-1-scaled-1-1024x768.jpg 1024w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-2-1-scaled-1-768x576.jpg 768w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-2-1-scaled-1-1536x1152.jpg 1536w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-2-1-scaled-1-2048x1536.jpg 2048w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-2-1-scaled-1-600x450.jpg 600w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/7demates.upc.edu\/index.php\/2019\/04\/06\/frisem-amb-els-7-frisos-del-7demates-i-demostrem-larea-maxima\/foto-1-2\/'><img loading=\"lazy\" decoding=\"async\" width=\"225\" height=\"300\" src=\"https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-1-scaled-1-225x300.jpg\" class=\"attachment-medium size-medium\" alt=\"\" srcset=\"https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-1-scaled-1-225x300.jpg 225w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-1-scaled-1-768x1024.jpg 768w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-1-scaled-1-1152x1536.jpg 1152w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-1-scaled-1-1536x2048.jpg 1536w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-1-scaled-1.jpg 1920w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/7demates.upc.edu\/index.php\/2019\/04\/06\/frisem-amb-els-7-frisos-del-7demates-i-demostrem-larea-maxima\/foto-4-3\/'><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"225\" src=\"https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-4-1-scaled-1-300x225.jpg\" class=\"attachment-medium size-medium\" alt=\"\" srcset=\"https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-4-1-scaled-1-300x225.jpg 300w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-4-1-scaled-1-1024x768.jpg 1024w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-4-1-scaled-1-768x576.jpg 768w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-4-1-scaled-1-1536x1152.jpg 1536w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-4-1-scaled-1-2048x1536.jpg 2048w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-4-1-scaled-1-600x450.jpg 600w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/7demates.upc.edu\/index.php\/2019\/04\/06\/frisem-amb-els-7-frisos-del-7demates-i-demostrem-larea-maxima\/foto-7\/'><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"225\" src=\"https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-7-scaled-1-300x225.jpg\" class=\"attachment-medium size-medium\" alt=\"\" srcset=\"https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-7-scaled-1-300x225.jpg 300w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-7-scaled-1-1024x768.jpg 1024w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-7-scaled-1-768x576.jpg 768w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-7-scaled-1-1536x1152.jpg 1536w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-7-scaled-1-2048x1536.jpg 2048w, https:\/\/7demates.upc.edu\/wp-content\/uploads\/2019\/04\/Foto-7-scaled-1-600x450.jpg 600w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\n\t\t\t<\/div><\/figure>\n\t\t<\/div>\n\n<p><span class=\"st\">\u00a0<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Qu\u00e8 \u00e9s una isometria? Quants moviments existeixen en un pla? Com els anomenem? Quants moviments al pla poden deixar invariant<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2,3],"tags":[],"class_list":["post-581","post","type-post","status-publish","format-standard","hentry","category-curs-2018-2019","category-noticies"],"_links":{"self":[{"href":"https:\/\/7demates.upc.edu\/index.php\/wp-json\/wp\/v2\/posts\/581","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/7demates.upc.edu\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/7demates.upc.edu\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/7demates.upc.edu\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/7demates.upc.edu\/index.php\/wp-json\/wp\/v2\/comments?post=581"}],"version-history":[{"count":0,"href":"https:\/\/7demates.upc.edu\/index.php\/wp-json\/wp\/v2\/posts\/581\/revisions"}],"wp:attachment":[{"href":"https:\/\/7demates.upc.edu\/index.php\/wp-json\/wp\/v2\/media?parent=581"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/7demates.upc.edu\/index.php\/wp-json\/wp\/v2\/categories?post=581"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/7demates.upc.edu\/index.php\/wp-json\/wp\/v2\/tags?post=581"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}