{"id":514,"date":"2013-12-16T11:18:41","date_gmt":"2013-12-16T15:18:41","guid":{"rendered":"http:\/\/willistonblogs.com\/math\/?p=514"},"modified":"2014-01-07T15:04:27","modified_gmt":"2014-01-07T19:04:27","slug":"the-star-project","status":"publish","type":"post","link":"https:\/\/willistonblogs.com\/math\/the-star-project\/","title":{"rendered":"The Star Project"},"content":{"rendered":"<p>Over the past week my BC &amp; Multivariable Calculus class has begun their journey working through the wonderful land of three dimensional space. In order to get my students to think more deeply about the dimensions they are now operating within, I have been working Origami into my lessons. I started with <a href=\"http:\/\/willistonblogs.com\/math\/hyperbolic-paraboloids\/\">hyperbolic paraboloids<\/a> and now have just taught them the first few skills they will need to create their own 60-piece stars.<\/p>\n<figure id=\"attachment_536\" aria-describedby=\"caption-attachment-536\" style=\"width: 1280px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-10.00.35.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-536\" alt=\"Voila!\" src=\"http:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-10.00.35.jpg\" width=\"1280\" height=\"960\" srcset=\"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-10.00.35.jpg 1280w, https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-10.00.35-300x225.jpg 300w, https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-10.00.35-1024x768.jpg 1024w, https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-10.00.35-400x300.jpg 400w\" sizes=\"(max-width: 1280px) 100vw, 1280px\" \/><\/a><figcaption id=\"caption-attachment-536\" class=\"wp-caption-text\">Voila!<\/figcaption><\/figure>\n<p>They now know how to make the pieces and over the next few days I will be helping them figure out how to fit them together into a closed, 60-piece star! Here&#8217;s what the whole process looks like:<\/p>\n<div id='gallery-1' class='gallery galleryid-514 gallery-columns-3 gallery-size-thumbnail'><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.30.44.jpg'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.30.44-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-516\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-516'>\n\t\t\t\t15 sheets of 8.5&#8243; x 11&#8243; paper\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.32.13.jpg'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.32.13-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-517\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-517'>\n\t\t\t\tTurns into 4 squares\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.32.35.jpg'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.32.35-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-518\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-518'>\n\t\t\t\tFolded into the building unit\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.33.16.jpg'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.33.16-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-519\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-519'>\n\t\t\t\tA bit more folding\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.33.21.jpg'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.33.21-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/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:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.33.40.jpg'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.33.40-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-521\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-521'>\n\t\t\t\tTwo pieces locked together to form one point\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.33.45.jpg'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.33.45-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/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:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.51.53.jpg'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.51.53-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-524\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-524'>\n\t\t\t\t30 points!\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.52.11.jpg'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.52.11-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-525\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-525'>\n\t\t\t\tTwo points fit together quite nicely&#8230;\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.52.32.jpg'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.52.32-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-526\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-526'>\n\t\t\t\tA third is added\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.52.46.jpg'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.52.46-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-527\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-527'>\n\t\t\t\tAll of these will fit together\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.54.23.jpg'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.54.23-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-528\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-528'>\n\t\t\t\tThe building continues\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.54.56.jpg'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.54.56-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/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:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.55.00.jpg'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.55.00-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/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:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.58.07.jpg'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.58.07-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-531\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-531'>\n\t\t\t\tThe second layer is complete\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.58.10.jpg'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.58.10-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-532\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-532'>\n\t\t\t\tThe view from the top\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.59.02.jpg'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.59.02-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-533\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-533'>\n\t\t\t\tThe next layer is complete\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.59.05.jpg'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.59.05-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/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:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.59.57.jpg'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.59.57-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-535\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-535'>\n\t\t\t\tOne last piece to go!\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-10.00.35.jpg'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-10.00.35-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-536\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-536'>\n\t\t\t\tVoila!\n\t\t\t\t<\/figcaption><\/figure>\n\t\t<\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Over the past week my BC &amp; Multivariable Calculus class has begun their journey working through the wonderful land of three dimensional space. In order to get my students to think more deeply about the dimensions they are now operating within, I have been working Origami into my lessons. I started with hyperbolic paraboloids and &hellip; <a href=\"https:\/\/willistonblogs.com\/math\/the-star-project\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">The Star Project<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":53,"featured_media":533,"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":[3,64],"tags":[70,71,69,73,7,72],"class_list":["post-514","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-math-news","category-origami","tag-60-piece-star","tag-caculus","tag-multivariable","tag-space","tag-surface","tag-three-dimensional"],"jetpack_publicize_connections":[],"aioseo_notices":[],"jetpack_featured_media_url":"https:\/\/willistonblogs.com\/math\/files\/2013\/12\/2013-12-16-09.59.02.jpg","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p4GnmO-8i","_links":{"self":[{"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/posts\/514"}],"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=514"}],"version-history":[{"count":3,"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/posts\/514\/revisions"}],"predecessor-version":[{"id":539,"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/posts\/514\/revisions\/539"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/media\/533"}],"wp:attachment":[{"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/media?parent=514"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/categories?post=514"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/willistonblogs.com\/math\/wp-json\/wp\/v2\/tags?post=514"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}