{"id":18316,"date":"2019-08-31T10:36:52","date_gmt":"2019-08-31T14:36:52","guid":{"rendered":"http:\/\/blog.carlrobitaille.org\/?p=18316"},"modified":"2019-08-31T10:37:52","modified_gmt":"2019-08-31T14:37:52","slug":"mosers-worm-problem-unsolved","status":"publish","type":"post","link":"https:\/\/blog.carlrobitaille.org\/?p=18316","title":{"rendered":"Moser&#8217;s Worm Problem [Unsolved]"},"content":{"rendered":"\n<figure class=\"wp-block-embed-twitter wp-block-embed is-type-rich is-provider-twitter\"><div class=\"wp-block-embed__wrapper\">\n<blockquote class=\"twitter-tweet\" data-width=\"550\" data-dnt=\"true\"><p lang=\"en\" dir=\"ltr\">Moser&#39;s Worm Problem [Unsolved]<br><br>What&#39;s the smallest convex shape that can cover every unit-length curve?<br><br>A disk of diameter 1 covers every such curve but with area \u03c0\/4\u22480.7854 it&#39;s not the smallest shape<br><br>In fact we know that the minimal area is between 0.232239 and 0.270911861<\/p>&mdash; Tam\u00e1s G\u00f6rbe (@TamasGorbe) <a href=\"https:\/\/twitter.com\/TamasGorbe\/status\/1167770760615792640?ref_src=twsrc%5Etfw\">August 31, 2019<\/a><\/blockquote><script async src=\"https:\/\/platform.twitter.com\/widgets.js\" charset=\"utf-8\"><\/script>\n<\/div><\/figure>\n\n\n\n<figure class=\"wp-block-embed-twitter wp-block-embed is-type-rich is-provider-twitter\"><div class=\"wp-block-embed__wrapper\">\n<blockquote class=\"twitter-tweet\" data-width=\"550\" data-dnt=\"true\"><p lang=\"en\" dir=\"ltr\">Panraksa and Wichiramala describe the problem in their introduction:<a href=\"https:\/\/t.co\/t1MiFcBOvm\">https:\/\/t.co\/t1MiFcBOvm<\/a><br><br>&quot;L. Moser asked for the smallest set in the plane that is large enough to accommodate a congruent copy of each arc of unit length.&quot;<\/p>&mdash; La_Maudite \ud83d\udc27 (@La_Maudite) <a href=\"https:\/\/twitter.com\/La_Maudite\/status\/1167807906089263106?ref_src=twsrc%5Etfw\">August 31, 2019<\/a><\/blockquote><script async src=\"https:\/\/platform.twitter.com\/widgets.js\" charset=\"utf-8\"><\/script>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[19],"tags":[],"class_list":["post-18316","post","type-post","status-publish","format-standard","hentry","category-mathematiques"],"_links":{"self":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/18316","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=18316"}],"version-history":[{"count":2,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/18316\/revisions"}],"predecessor-version":[{"id":18318,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/18316\/revisions\/18318"}],"wp:attachment":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=18316"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=18316"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=18316"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}