{"id":2870,"date":"2022-09-17T07:56:52","date_gmt":"2022-09-17T11:56:52","guid":{"rendered":"https:\/\/josmfs.net\/?p=2870"},"modified":"2022-09-17T07:56:52","modified_gmt":"2022-09-17T11:56:52","slug":"minimum-path-via-circle","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2022\/09\/17\/minimum-path-via-circle\/","title":{"rendered":"Minimum Path Via Circle"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-2868\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/09\/Minimum-Path-Fig2.jpg\" alt=\"\" width=\"200\" height=\"207\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/09\/Minimum-Path-Fig2.jpg 400w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/09\/Minimum-Path-Fig2-291x300.jpg 291w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>James Tanton provides another imaginative <a href=\"https:\/\/twitter.com\/jamestanton\/status\/1562752143727251456\">problem<\/a> on Twitter.<\/p>\n<p>\u201cI am at point A and want to walk to point B via some point, any point, P on the circle. What point P should I choose so that my journey A \u2192 P \u2192 B is as short as possible?\u201d<\/p>\n<p>Hint: I got ideas for a solution from two of my posts, \u201c<a href=\"https:\/\/josmfs.net\/2022\/09\/03\/square-root-minimum\/\">Square Root Minimum<\/a>\u201d and \u201c<a href=\"https:\/\/josmfs.net\/wordpress\/2019\/08\/10\/maximum-product\/\">Maximum Product<\/a>\u201d.<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/09\/Minimum-Path-Via-Circle-220829.pdf\">Minimum Path Via Circle<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>James Tanton provides another imaginative problem on Twitter. \u201cI am at point A and want to walk to point B via some point, any point, P on the circle. What point P should I choose so that my journey A \u2192 P \u2192 B is as short as possible?\u201d Hint: I got ideas for a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[32,43,153,13],"class_list":["post-2870","post","type-post","status-publish","format-standard","hentry","category-math-inquiries","tag-calculus","tag-james-tanton","tag-optimization","tag-plane-geometry"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2870","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=2870"}],"version-history":[{"count":1,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2870\/revisions"}],"predecessor-version":[{"id":2871,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2870\/revisions\/2871"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=2870"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=2870"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=2870"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}