{"id":5493,"date":"2023-11-12T07:53:34","date_gmt":"2023-11-12T15:53:34","guid":{"rendered":"https:\/\/www.wkiri.com\/today\/?p=5493"},"modified":"2023-11-12T07:53:34","modified_gmt":"2023-11-12T15:53:34","slug":"hyperbolic-crochet","status":"publish","type":"post","link":"https:\/\/www.wkiri.com\/today\/?p=5493","title":{"rendered":"Hyperbolic crochet"},"content":{"rendered":"<p>You never know what you&#8217;ll learn at the library!<\/p>\n<p>Recently, the Corvallis-Benton County Public Library began hosting a monthly Fiber Arts Meetup, which is culminating next weekend (Nov. 18) with a <a href=\"https:\/\/corvallisbenton.librarycalendar.com\/event\/coral-reef-community-art-collab-15043\">Coral Reef Community Art Collaboration<\/a>.  Although there are many kinds of relevant crafts and projects, one that was featured was <a href=\"https:\/\/www.scientificamerican.com\/gallery\/a-mathematical-yarn-how-to-stitch-a-hyperbolic-pseudosphere\/\">hyperbolic crochet<\/a>.  Rather than being an exaggerated form of crochet, this is the process of creating &#8220;negatively curved&#8221; surfaces.  This is a word for a surface that curves in two directions away from what is &#8220;flat&#8221; (tangent), like a saddle (bending down on your left and right, and up in the front and back).  A positively curved surface bends only in one direction, like when you&#8217;re on top of a mountain looking down on all sides. A surface with zero curvature would be infinitely flat in all directions.<\/p>\n<p>You can play with this in crochet.  If you crochet a doily or a potholder, that generally would have zero curvature.  But if you wedge in extra stitches so that they simply cannot lie flat, you&#8217;re going to generate a curved surface.  The method I learned for hyperbolic crochet simply has you doubling the number of stitches in each hole as you go around, an exponential growth that creates a very organic-looking ruffled structure:<\/p>\n<p><center><a href=\"https:\/\/www.wkiri.com\/today\/wp-content\/uploads\/2023\/10\/2023-09-24-hyperbolic-crochet-1.jpg\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/www.wkiri.com\/today\/wp-content\/uploads\/2023\/10\/2023-09-24-hyperbolic-crochet-1-258x300.jpg\" alt=\"\" width=\"258\" height=\"300\" class=\"aligncenter size-medium wp-image-5495\" srcset=\"https:\/\/www.wkiri.com\/today\/wp-content\/uploads\/2023\/10\/2023-09-24-hyperbolic-crochet-1-258x300.jpg 258w, https:\/\/www.wkiri.com\/today\/wp-content\/uploads\/2023\/10\/2023-09-24-hyperbolic-crochet-1-882x1024.jpg 882w, https:\/\/www.wkiri.com\/today\/wp-content\/uploads\/2023\/10\/2023-09-24-hyperbolic-crochet-1-129x150.jpg 129w, https:\/\/www.wkiri.com\/today\/wp-content\/uploads\/2023\/10\/2023-09-24-hyperbolic-crochet-1-768x892.jpg 768w, https:\/\/www.wkiri.com\/today\/wp-content\/uploads\/2023\/10\/2023-09-24-hyperbolic-crochet-1.jpg 1000w\" sizes=\"(max-width: 258px) 100vw, 258px\" \/><\/a><\/center><\/p>\n<p>And because yarn (and knitting) is flexible, the same shape can shift into another 3D configuration where the negative curvature is even more evident:<\/p>\n<p><center><a href=\"https:\/\/www.wkiri.com\/today\/wp-content\/uploads\/2023\/10\/2023-09-24-hyperbolic-crochet-2.jpg\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/www.wkiri.com\/today\/wp-content\/uploads\/2023\/10\/2023-09-24-hyperbolic-crochet-2-264x300.jpg\" alt=\"\" width=\"264\" height=\"300\" class=\"aligncenter size-medium wp-image-5496\" srcset=\"https:\/\/www.wkiri.com\/today\/wp-content\/uploads\/2023\/10\/2023-09-24-hyperbolic-crochet-2-264x300.jpg 264w, https:\/\/www.wkiri.com\/today\/wp-content\/uploads\/2023\/10\/2023-09-24-hyperbolic-crochet-2-900x1024.jpg 900w, https:\/\/www.wkiri.com\/today\/wp-content\/uploads\/2023\/10\/2023-09-24-hyperbolic-crochet-2-132x150.jpg 132w, https:\/\/www.wkiri.com\/today\/wp-content\/uploads\/2023\/10\/2023-09-24-hyperbolic-crochet-2-768x874.jpg 768w, https:\/\/www.wkiri.com\/today\/wp-content\/uploads\/2023\/10\/2023-09-24-hyperbolic-crochet-2.jpg 1000w\" sizes=\"(max-width: 264px) 100vw, 264px\" \/><\/a><\/center><\/p>\n<p>It is surprisingly fun to play with this object and feel how it moves and shifts.  What you can&#8217;t do is make it lie flat, at least in our three-dimensional world.  Each row has twice as much length within it as the previous one.  Such a fascinating construction!  Thank you, Mari Beth, for teaching me!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>You never know what you&#8217;ll learn at the library! Recently, the Corvallis-Benton County Public Library began hosting a monthly Fiber Arts Meetup, which is culminating next weekend (Nov. 18) with a Coral Reef Community Art Collaboration. Although there are many kinds of relevant crafts and projects, one that was featured was hyperbolic crochet. Rather than [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[4,60],"tags":[],"_links":{"self":[{"href":"https:\/\/www.wkiri.com\/today\/index.php?rest_route=\/wp\/v2\/posts\/5493"}],"collection":[{"href":"https:\/\/www.wkiri.com\/today\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.wkiri.com\/today\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.wkiri.com\/today\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.wkiri.com\/today\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5493"}],"version-history":[{"count":15,"href":"https:\/\/www.wkiri.com\/today\/index.php?rest_route=\/wp\/v2\/posts\/5493\/revisions"}],"predecessor-version":[{"id":5512,"href":"https:\/\/www.wkiri.com\/today\/index.php?rest_route=\/wp\/v2\/posts\/5493\/revisions\/5512"}],"wp:attachment":[{"href":"https:\/\/www.wkiri.com\/today\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5493"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.wkiri.com\/today\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5493"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.wkiri.com\/today\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5493"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}