{"id":495,"date":"2013-12-11T14:12:39","date_gmt":"2013-12-11T18:12:39","guid":{"rendered":"http:\/\/willistonblogs.com\/math\/?p=495"},"modified":"2014-01-07T15:04:54","modified_gmt":"2014-01-07T19:04:54","slug":"hyperbolic-paraboloids","status":"publish","type":"post","link":"https:\/\/willistonblogs.com\/math\/hyperbolic-paraboloids\/","title":{"rendered":"Hyperbolic Paraboloids"},"content":{"rendered":"<p>One of my favorite surfaces is the <a href=\"http:\/\/en.wikipedia.org\/wiki\/Paraboloid\">hyperbolic paraboloid<\/a>. So, of course, all of my students need to know how to fold one from a square sheet of paper. Last night my BC &amp; Multi students practiced their folding skills and today in class their quiz was to fold one on their own without the instructions. They certainly impressed me with their folding skills!<\/p>\n<p><a href=\"http:\/\/willistonblogs.com\/math\/files\/2013\/12\/Hyperbolic-Parabola-Folding-Directions.pdf\">Here are the instruction (PDF)<\/a>. Try folding one!<\/p>\n<p><strong>Their homework creations:<\/strong><\/p>\n<p><a href=\"http:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-1.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-497\" alt=\"photo 1\" src=\"http:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-1.jpg\" width=\"1280\" height=\"1280\" srcset=\"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-1.jpg 1280w, https:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-1-150x150.jpg 150w, https:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-1-300x300.jpg 300w, https:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-1-1024x1024.jpg 1024w\" sizes=\"(max-width: 1280px) 100vw, 1280px\" \/><\/a><\/p>\n<p><strong>Folding quiz:<\/strong><\/p>\n<p><a href=\"http:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-2.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-498\" alt=\"photo 2\" src=\"http:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-2.jpg\" width=\"1280\" height=\"1280\" srcset=\"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-2.jpg 1280w, https:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-2-150x150.jpg 150w, https:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-2-300x300.jpg 300w, https:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-2-1024x1024.jpg 1024w\" sizes=\"(max-width: 1280px) 100vw, 1280px\" \/><\/a><\/p>\n<p><strong>The hyperbolic paraboloid lineup!<\/strong><\/p>\n<p><a href=\"http:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-3.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-499\" alt=\"photo 3\" src=\"http:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-3.jpg\" width=\"1280\" height=\"956\" srcset=\"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-3.jpg 1280w, https:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-3-300x224.jpg 300w, https:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-3-1024x764.jpg 1024w, https:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-3-401x300.jpg 401w\" sizes=\"(max-width: 1280px) 100vw, 1280px\" \/><\/a><\/p>\n<p><strong>A family:<\/strong><\/p>\n<p><a href=\"http:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-4.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-500\" alt=\"photo 4\" src=\"http:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-4.jpg\" width=\"956\" height=\"1280\" srcset=\"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-4.jpg 956w, https:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-4-224x300.jpg 224w, https:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-4-764x1024.jpg 764w\" sizes=\"(max-width: 956px) 100vw, 956px\" \/><\/a><\/p>\n<p><strong>The hallway bulletin board:<\/strong><\/p>\n<p><a href=\"http:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-5.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-501\" alt=\"photo 5\" src=\"http:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-5.jpg\" width=\"956\" height=\"1280\" srcset=\"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-5.jpg 956w, https:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-5-224x300.jpg 224w, https:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-5-764x1024.jpg 764w\" sizes=\"(max-width: 956px) 100vw, 956px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>One of my favorite surfaces is the hyperbolic paraboloid. So, of course, all of my students need to know how to fold one from a square sheet of paper. Last night my BC &amp; Multi students practiced their folding skills and today in class their quiz was to fold one on their own without the &hellip; <a href=\"https:\/\/willistonblogs.com\/math\/hyperbolic-paraboloids\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Hyperbolic Paraboloids<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":53,"featured_media":500,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"_s2mail":"yes","jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false},"version":2}},"categories":[64],"tags":[20,68,65,69,67,66],"class_list":["post-495","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-origami","tag-calculus","tag-folding","tag-hyperbolic","tag-multivariable","tag-paper","tag-paraboloid"],"jetpack_publicize_connections":[],"aioseo_notices":[],"jetpack_featured_media_url":"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/photo-4.jpg","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p4GnmO-7Z","_links":{"self":[{"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/posts\/495"}],"collection":[{"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/users\/53"}],"replies":[{"embeddable":true,"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/comments?post=495"}],"version-history":[{"count":5,"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/posts\/495\/revisions"}],"predecessor-version":[{"id":507,"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/posts\/495\/revisions\/507"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/media\/500"}],"wp:attachment":[{"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/media?parent=495"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/categories?post=495"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/tags?post=495"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}