{"id":12539,"date":"2016-02-07T11:51:29","date_gmt":"2016-02-07T11:51:29","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=12539"},"modified":"2021-11-30T03:04:37","modified_gmt":"2021-11-30T03:04:37","slug":"mathematical-impressions","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=12539","title":{"rendered":"Mathematical Impressions"},"content":{"rendered":"<p>How do you turn a rubber band into a knot? What happens when you slice a Menger Sponge on a diagonal plane? What is the math behind juggling? In this video series, George Hart illuminates mathematical concepts and surprising hidden geometries that may be found in the world around us.<\/p>\n<ul>\n<li><a href=\"https:\/\/www.simonsfoundation.org\/series\/mathematical-impressions\/\" target=\"_blank\" rel=\"noopener noreferrer\">SIMONS FOUNDATION &#8211;&nbsp;Mathematical Impressions<\/a><\/li>\n<\/ul>\n\n\n<div style=\"height:34px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<style>.embed-container { position: relative; padding-bottom: 56.25%; height: 0; overflow: hidden; max-width: 100%; } .embed-container iframe, .embed-container object, .embed-container embed { position: absolute; top: 0; left: 0; width: 100%; height: 100%; }<\/style><div class=\"embed-container\"><iframe src=\"https:\/\/www.youtube.com\/embed\/videoseries?list=PLIzijfJ5zh9eIY16ROg82WmmnW1XS27rV\" frameborder=\"0\" allowfullscreen=\"\"><\/iframe><\/div>\n\n\n\n<div style=\"height:40px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<style>\nh3.hungryfeed_feed_title {}\r\np.hungryfeed_feed_description {}\r\ndiv.hungryfeed_items {}\r\ndiv.hungryfeed_item {margin-bottom: 10px;}\r\ndiv.hungryfeed_item_title {font-weight: bold;}\r\ndiv.hungryfeed_item_description {}\r\ndiv.hungryfeed_item_author {}\r\ndiv.hungryfeed_item_date {}\n<\/style>\n<script >\r\n<\/script>\n<h3 class=\"hungryfeed_feed_title\">Mathematical Impressions<\/h3>\n<p class=\"hungryfeed_feed_description\"><\/p>\n<div class=\"hungryfeed_items\">\n<div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=nhAgo27nv_I\">Mathematical Impressions: Regular Polylinks<\/a><\/h5>\r\n<div>A video illustrating the beautiful geometry behind symmetrical linkages of regular polygons.\n\nhttp:\/\/www.simonsfoundation.org\/multimedia\/regular-polylinks\/<\/div>\r\n<div>Autor: Simons Foundation<\/div>\r\n<div>Publicado: May 22, 2014, 2:04 pm<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=swT5BxFK4hU\">Mathematical Impressions: Knot Possible?<\/a><\/h5>\r\n<div>The mathematics of knot theory says that a simple loop and a trefoil are fundamentally different knots. But is that all there is to the question?\n\nhttp:\/\/www.simonsfoundation.org\/multimedia\/mathematical-impressions-knot-possible\/<\/div>\r\n<div>Autor: Simons Foundation<\/div>\r\n<div>Publicado: May 22, 2014, 2:04 pm<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=xWqGhgaLlMc\">Mathematical Impressions: Geometry of Spaghetti Code 2<\/a><\/h5>\r\n<div>Spaghetti Code Assembly\n\nhttp:\/\/www.simonsfoundation.org\/multimedia\/geometry-of-spaghetti-code\/<\/div>\r\n<div>Autor: Simons Foundation<\/div>\r\n<div>Publicado: May 22, 2014, 2:04 pm<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=3lyDCUKsWZs\">Mathematical Impressions: Change Ringing<\/a><\/h5>\r\n<div>Change ringing, in which a band of ringers plays long sequences of permutations on a set of peal bells, is a little-known but surprisingly rich and beautiful acoustical application of mathematics.\n\nhttp:\/\/www.simonsfoundation.org\/multimedia\/mathematical-impressions-change-ringing\/<\/div>\r\n<div>Autor: Simons Foundation<\/div>\r\n<div>Publicado: May 22, 2014, 2:04 pm<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=fWsmq9E4YC0\">Mathematical Impressions: The Surprising Menger Sponge Slice<\/a><\/h5>\r\n<div>The Menger Sponge, a well-studied fractal, was first described in the 1920s. The fractal is cube-like, yet its cross section is quite surprising. What happens when it is sliced on a diagonal plane?\n\nhttp:\/\/www.simonsfoundation.org\/multimedia\/mathematical-impressions-the-surprising-menger-sponge-slice\/<\/div>\r\n<div>Autor: Simons Foundation<\/div>\r\n<div>Publicado: May 22, 2014, 2:04 pm<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=pX57Y8dEwGo\">Mathematical Impressions: Shell Games<\/a><\/h5>\r\n<div>A video explaining how some seemingly complex patterns on sea shells can be created by simple, one-dimensional, two-state cellular automata.\n\nhttp:\/\/www.simonsfoundation.org\/multimedia\/shell-games\/<\/div>\r\n<div>Autor: Simons Foundation<\/div>\r\n<div>Publicado: May 22, 2014, 2:04 pm<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=N--DZrs5pBM\">Mathematical Impressions: The Bicycle Pulling Puzzle<\/a><\/h5>\r\n<div>If you pull straight back on the lower pedal of your bicycle, will the bike move forward or backward? This classic puzzle has a surprising twist.\n\nhttp:\/\/www.simonsfoundation.org\/multimedia\/mathematical-impressions-multimedia\/the-bicycle-pulling-puzzle\/<\/div>\r\n<div>Autor: Simons Foundation<\/div>\r\n<div>Publicado: May 22, 2014, 2:04 pm<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=W4pLs2NVXKg\">Mathematical Impressions: Attesting to Atoms<\/a><\/h5>\r\n<div>Can you combine simple observations and mathematical thinking to show that atoms exist? \n\nhttp:\/\/www.simonsfoundation.org\/multimedia\/attesting-to-atoms\/<\/div>\r\n<div>Autor: Simons Foundation<\/div>\r\n<div>Publicado: May 22, 2014, 2:04 pm<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=E452pZZ4VMc\">Mathematical Impressions: Bicycle Tracks<\/a><\/h5>\r\n<div>A nice mathematical puzzle, with a solution anyone can understand, is to determine the direction a bicycle went when you come upon its tracks. The answer involves thinking about tangent lines, geometric constraints and the bicycle's steering mechanism.\n\nhttp:\/\/www.simonsfoundation.org\/multimedia\/mathematical-impressions-bicycle-tracks\/<\/div>\r\n<div>Autor: Simons Foundation<\/div>\r\n<div>Publicado: May 22, 2014, 2:04 pm<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=EAITrDCmEr4\">Mathematical Impressions: Art Imitates Math<\/a><\/h5>\r\n<div>The art exhibition at the annual Bridges Conference showcases a wide range of artworks inspired by mathematical thinking.\n\nhttp:\/\/www.simonsfoundation.org\/multimedia\/mathematical-impressions-art-imitates-math\/<\/div>\r\n<div>Autor: Simons Foundation<\/div>\r\n<div>Publicado: May 22, 2014, 2:04 pm<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=pIRGagLfn8Y\">Mathematical Impressions: Symmetric Structures<\/a><\/h5>\r\n<div>It is an unexplained fact that objects with icosahedral symmetry occur in nature only at microscopic scales. Examples include quasicrystals, many viruses, the carbon-60 molecule, and some beautiful protozoa in the radiolarian family.\n\nhttp:\/\/www.simonsfoundation.org\/multimedia\/symmetric-structures\/<\/div>\r\n<div>Autor: Simons Foundation<\/div>\r\n<div>Publicado: May 22, 2014, 2:04 pm<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=8bgvRvh88-w\">Mathematical Impressions: Making Music With a M\u00f6bius Strip<\/a><\/h5>\r\n<div>Musical chords naturally inhabit certain topological spaces, which show the possible paths that a composer can use to move between chords.\n\nhttp:\/\/www.simonsfoundation.org\/multimedia\/mathematical-impressions-making-music-with-a-mobius-strip\/<\/div>\r\n<div>Autor: Simons Foundation<\/div>\r\n<div>Publicado: May 22, 2014, 2:04 pm<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=YpvSdb6ssJg\">Mathematical Impressions: Geometry of Spaghetti Code<\/a><\/h5>\r\n<div>A sculpture project built entirely with right angles combines math and art in subtle and surprising ways.\n\nhttp:\/\/www.simonsfoundation.org\/multimedia\/geometry-of-spaghetti-code\/<\/div>\r\n<div>Autor: Simons Foundation<\/div>\r\n<div>Publicado: May 22, 2014, 2:04 pm<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=dcJDi_kjOz8\">Mathematical Impressions: Goldberg Polyhedra<\/a><\/h5>\r\n<div>Because of their aesthetic appeal, organic feel and easily understood structure, Goldberg polyhedra have a surprising number of applications ranging from golf-ball dimple patterns to nuclear-particle detector arrays.\n\nhttp:\/\/www.simonsfoundation.org\/multimedia\/mathematical-impressions-goldberg-polyhedra\/<\/div>\r\n<div>Autor: Simons Foundation<\/div>\r\n<div>Publicado: May 22, 2014, 2:04 pm<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=UXG2LWgglcg\">Mathematical Impressions: Printing 3-D Models<\/a><\/h5>\r\n<div>George Hart describes in this video how to create physical models of mathematical objects, surveying some examples of surfaces and polytopes. \n\nhttp:\/\/www.simonsfoundation.org\/multimedia\/3-d-printing-of-mathematical-models\/<\/div>\r\n<div>Autor: Simons Foundation<\/div>\r\n<div>Publicado: May 22, 2014, 2:04 pm<\/div>\r\n<\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>How do you turn a rubber band into a knot? What happens when you slice a Menger Sponge on a diagonal plane? What is the math behind juggling? In this video series, George Hart&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":12540,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[4,3,7],"tags":[],"series":[],"class_list":["post-12539","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ciencia-e-tecnologia","category-matematica","category-video"],"views":3335,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2016\/02\/Golden-Ratio-Image-640x360.jpg","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/12539","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=12539"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/12539\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/12540"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=12539"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=12539"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=12539"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=12539"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}