{"id":1990,"date":"2016-05-04T11:58:38","date_gmt":"2016-05-04T16:58:38","guid":{"rendered":"http:\/\/blogs.ams.org\/blogonmathblogs\/?p=1990"},"modified":"2016-05-04T11:58:38","modified_gmt":"2016-05-04T16:58:38","slug":"zachary-abel-straws-thingy","status":"publish","type":"post","link":"https:\/\/blogs.ams.org\/blogonmathblogs\/2016\/05\/04\/zachary-abel-straws-thingy\/","title":{"rendered":"Straws Thingys and Other Mathematical Sculptures"},"content":{"rendered":"<p class=\"p1\"><span class=\"s1\">I love an abstract math pondering session as much as the next mathematician (or at least within epsilon), but there\u2019s something immensely satisfying about coming back down to earth and using your hands to make something. At some point last November, I stumbled onto <a href=\"http:\/\/blog.zacharyabel.com\/\">Zachary Abel\u2019s<\/a> blog series about <a href=\"http:\/\/blog.zacharyabel.com\/straws-thingy\/\"><span class=\"s2\">Straws Thingys<\/span><\/a>, and I knew a Straws Thingy had to be mine.<\/span><\/p>\n<div id=\"attachment_1992\" style=\"width: 310px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/blog.zacharyabel.com\/straws-thingy\/\" rel=\"attachment wp-att-1992\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-1992\" class=\"wp-image-1992 size-medium\" src=\"https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2016\/05\/straws-thingy.jpg?resize=300%2C300\" alt=\"A Straws Thingy. Image: Zachary Abel.\" width=\"300\" height=\"300\" srcset=\"https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2016\/05\/straws-thingy.jpg?resize=300%2C300&amp;ssl=1 300w, https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2016\/05\/straws-thingy.jpg?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2016\/05\/straws-thingy.jpg?w=480&amp;ssl=1 480w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><p id=\"caption-attachment-1992\" class=\"wp-caption-text\">A Straws Thingy. Image: Zachary Abel.<\/p><\/div>\n<p class=\"p1\"><span class=\"s1\">A Straws Thingy is indeed a thingy made of straws. In this case, it happens to be a compound of five intersecting tetrahedra, <a href=\"http:\/\/mars.wne.edu\/~thull\/fit.html\"><span class=\"s2\">popularized by mathematical origami guru Thomas Hull<\/span><\/a>. After several months of forgetting to buy the recommended brand of straws from Target, I finally managed to make my very own Straws Thingy last week.<\/span><\/p>\n<div id=\"attachment_1991\" style=\"width: 650px\" class=\"wp-caption aligncenter\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-1991\" class=\"size-large wp-image-1991\" src=\"https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2016\/05\/strawsthingy.png?resize=640%2C273\" alt=\"My Straws Thingy, before and after savagely breaking free from its scaffold. Image: Evelyn Lamb.\" width=\"640\" height=\"273\" srcset=\"https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2016\/05\/strawsthingy.png?resize=1024%2C436&amp;ssl=1 1024w, https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2016\/05\/strawsthingy.png?resize=300%2C128&amp;ssl=1 300w, https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2016\/05\/strawsthingy.png?resize=768%2C327&amp;ssl=1 768w, https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2016\/05\/strawsthingy.png?w=1280 1280w, https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2016\/05\/strawsthingy.png?w=1920 1920w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><p id=\"caption-attachment-1991\" class=\"wp-caption-text\">My Straws Thingy, before and after <a href=\"http:\/\/blog.zacharyabel.com\/2015\/11\/step-10-a-savage-ending\/\">savagely<\/a> breaking free from its scaffold. Sadly, the straws I bought only came in four colors, so my fifth tetrahedron is multi-colored. Image: Evelyn Lamb.<\/p><\/div>\n<p class=\"p1\"><span class=\"s1\">Abel is a graduate student in mathematics at MIT as well as a mathematical sculptor, and I just loved his Straws Thingy posts. HHe had challenged himself to write a blog post a day for the month of November (#NaBloPoMo, a more modest undertaking than <a href=\"http:\/\/nanowrimo.org\/\"><span class=\"s2\">#NaNoWriMo<\/span><\/a>), so the instructions are conveniently served in\u00a0bite-sized pieces.<\/span><\/p>\n<p class=\"p1\"><span class=\"s1\">I tend to be something of a mathematical social butterfly. I like to learn a little about something and then flit away to the next thing. Abel, on the other hand, is much more thorough. His month-long Straws Thingy series explores the subtle asymmetries of various Straws Thingys, eventually building to a <a href=\"http:\/\/blog.zacharyabel.com\/2015\/11\/32-straws-thingys-aaah\/\"><span class=\"s2\">five-dimensional hypercube of thingys<\/span><\/a> (conveniently immersed in three-dimensions).\u00a0<\/span><\/p>\n<div id=\"attachment_1993\" style=\"width: 410px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/blog.zacharyabel.com\/2015\/11\/mirror-thingy-on-the-wall\/\" rel=\"attachment wp-att-1993\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-1993\" class=\"size-full wp-image-1993\" src=\"https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2016\/05\/literal-mirror-image.jpg?resize=400%2C300\" alt=\"If you have a mirror, you only need 16 Straws Thingys to make a 5-dimensional hypercube of them. Image: Zachary Abel.\" width=\"400\" height=\"300\" srcset=\"https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2016\/05\/literal-mirror-image.jpg?w=400&amp;ssl=1 400w, https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2016\/05\/literal-mirror-image.jpg?resize=300%2C225&amp;ssl=1 300w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/a><p id=\"caption-attachment-1993\" class=\"wp-caption-text\">If you have a mirror, you only need 16 Straws Thingys to make a 5-dimensional hypercube of them. Image: Zachary Abel.<\/p><\/div>\n<p class=\"p1\">He also gives us a peek behind the scenes to show us the\u00a0<a href=\"http:\/\/blog.zacharyabel.com\/2015\/11\/on-the-origin-of-scaffolds\/\"><span class=\"s2\">origin story of the scaffold<\/span><\/a> he designed to make the Straws Thingy easier to assemble.<\/p>\n<div id=\"attachment_1995\" style=\"width: 310px\" class=\"wp-caption aligncenter\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-1995\" class=\"size-medium wp-image-1995\" src=\"https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2016\/05\/2016-04-28-16.08.06.jpg?resize=300%2C225\" alt=\"A Straws Thingy scaffold, ready for action. Image: Evelyn Lamb.\" width=\"300\" height=\"225\" srcset=\"https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2016\/05\/2016-04-28-16.08.06.jpg?resize=300%2C225&amp;ssl=1 300w, https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2016\/05\/2016-04-28-16.08.06.jpg?resize=768%2C576&amp;ssl=1 768w, https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2016\/05\/2016-04-28-16.08.06.jpg?resize=1024%2C768&amp;ssl=1 1024w, https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2016\/05\/2016-04-28-16.08.06.jpg?w=1280 1280w, https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2016\/05\/2016-04-28-16.08.06.jpg?w=1920 1920w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><p id=\"caption-attachment-1995\" class=\"wp-caption-text\">A Straws Thingy scaffold, ready for action. Image: Evelyn Lamb.<\/p><\/div>\n<p class=\"p1\"><span class=\"s1\">If you want to make a Straws Thingy (or 32) of your own, his scaffold is available as a <a href=\"http:\/\/blog.zacharyabel.com\/2015\/11\/on-the-origin-of-scaffolds\/\"><span class=\"s2\">pay what you want download<\/span><\/a>, and the instructions are <a href=\"http:\/\/blog.zacharyabel.com\/straws-thingy\/\">easy to follow on his blog<\/a>. I poked around the blog\u00a0a little bit after building my Straws Thingy.\u00a0He has a lot more fun posts about geometry and mathematical sculptures, including the <a href=\"http:\/\/blog.zacharyabel.com\/2016\/01\/new-sculpture-writeup-penny-pincher\/\">Penny Pincher<\/a>\u00a0(made with $20.00 in pennies!) and instructions for a\u00a0<a href=\"http:\/\/blog.zacharyabel.com\/2014\/08\/how-to-make-an-impenetraball\/\">&#8220;potentially lethal&#8221; Impenetraball<\/a>. Maybe I&#8217;ll get there eventually, but right now I still have a lot of leftover straws.<\/span><\/p>\n<div id=\"attachment_1994\" style=\"width: 310px\" class=\"wp-caption aligncenter\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-1994\" class=\"size-medium wp-image-1994\" src=\"https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2016\/05\/2016-04-27-11.28.05.jpg?resize=300%2C225\" alt=\"A Straws Thingy in Waiting. Image: Evelyn Lamb.\" width=\"300\" height=\"225\" srcset=\"https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2016\/05\/2016-04-27-11.28.05.jpg?resize=300%2C225&amp;ssl=1 300w, https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2016\/05\/2016-04-27-11.28.05.jpg?resize=768%2C576&amp;ssl=1 768w, https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2016\/05\/2016-04-27-11.28.05.jpg?resize=1024%2C768&amp;ssl=1 1024w, https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2016\/05\/2016-04-27-11.28.05.jpg?w=1280 1280w, https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2016\/05\/2016-04-27-11.28.05.jpg?w=1920 1920w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><p id=\"caption-attachment-1994\" class=\"wp-caption-text\">A Straws Thingy in waiting. Image: Evelyn Lamb.<\/p><\/div>\n<div style=\"margin-top: 0px; margin-bottom: 0px;\" class=\"sharethis-inline-share-buttons\" ><\/div>","protected":false},"excerpt":{"rendered":"<p>I love an abstract math pondering session as much as the next mathematician (or at least within epsilon), but there\u2019s something immensely satisfying about coming back down to earth and using your hands to make something. At some point last &hellip; <a href=\"https:\/\/blogs.ams.org\/blogonmathblogs\/2016\/05\/04\/zachary-abel-straws-thingy\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n<div style=\"margin-top: 0px; margin-bottom: 0px;\" class=\"sharethis-inline-share-buttons\" data-url=https:\/\/blogs.ams.org\/blogonmathblogs\/2016\/05\/04\/zachary-abel-straws-thingy\/><\/div>\n","protected":false},"author":61,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[4],"tags":[570,572,573,569,571],"class_list":["post-1990","post","type-post","status-publish","format-standard","hentry","category-mathematics-and-the-arts","tag-mathematical-crafts","tag-straws-thingy","tag-tetrahedron","tag-things-you-can-make","tag-zachary-abel"],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p3tW3N-w6","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/blogs.ams.org\/blogonmathblogs\/wp-json\/wp\/v2\/posts\/1990","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ams.org\/blogonmathblogs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ams.org\/blogonmathblogs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ams.org\/blogonmathblogs\/wp-json\/wp\/v2\/users\/61"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ams.org\/blogonmathblogs\/wp-json\/wp\/v2\/comments?post=1990"}],"version-history":[{"count":1,"href":"https:\/\/blogs.ams.org\/blogonmathblogs\/wp-json\/wp\/v2\/posts\/1990\/revisions"}],"predecessor-version":[{"id":1996,"href":"https:\/\/blogs.ams.org\/blogonmathblogs\/wp-json\/wp\/v2\/posts\/1990\/revisions\/1996"}],"wp:attachment":[{"href":"https:\/\/blogs.ams.org\/blogonmathblogs\/wp-json\/wp\/v2\/media?parent=1990"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ams.org\/blogonmathblogs\/wp-json\/wp\/v2\/categories?post=1990"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ams.org\/blogonmathblogs\/wp-json\/wp\/v2\/tags?post=1990"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}