{"id":3857,"date":"2018-02-14T23:20:09","date_gmt":"2018-02-15T07:20:09","guid":{"rendered":"https:\/\/bendwavy.org\/wp\/?p=3857"},"modified":"2018-02-24T14:54:23","modified_gmt":"2018-02-24T22:54:23","slug":"3857","status":"publish","type":"post","link":"https:\/\/bendwavy.org\/wp\/?p=3857","title":{"rendered":"un-meander"},"content":{"rendered":"<p><img decoding=\"async\" src=\"\/font\/s-pc1-00.svg\"><br \/>\nHere, each curve hits alternate dots: first exactly (above), then with offsets pushing it toward the other curve.  Below is the result of eight iterations.<br \/>\n<img decoding=\"async\" src=\"\/font\/s-pc1-08.svg\"><br \/>\nWith enough iterations, the top of &lsquo;s&rsquo; eventually gets a more symmetrical arch, as the change in curvature is spread more evenly.<\/p>\n<p>But many runs get stuck in the fitting phase, and I don&#8217;t yet know why.  Attacking <a href=\"https:\/\/en.wikipedia.org\/wiki\/Newton%27s_method#Starting_point_enters_a_cycle\">one likely flaw<\/a> didn&#8217;t help.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Here, each curve hits alternate dots: first exactly (above), then with offsets pushing it toward the other curve. Below is the result of eight iterations. With enough iterations, the top of &lsquo;s&rsquo; eventually gets a more symmetrical arch, as the &hellip; <a href=\"https:\/\/bendwavy.org\/wp\/?p=3857\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[72],"tags":[],"class_list":["post-3857","post","type-post","status-publish","format-standard","hentry","category-curve-fitting"],"_links":{"self":[{"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/posts\/3857","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3857"}],"version-history":[{"count":13,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/posts\/3857\/revisions"}],"predecessor-version":[{"id":3874,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/posts\/3857\/revisions\/3874"}],"wp:attachment":[{"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3857"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3857"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3857"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}