{"id":1878,"date":"2020-12-12T14:00:53","date_gmt":"2020-12-12T19:00:53","guid":{"rendered":"http:\/\/josmfs.net\/?p=1878"},"modified":"2024-04-08T10:59:07","modified_gmt":"2024-04-08T14:59:07","slug":"barrier-minimal-path-problem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2020\/12\/12\/barrier-minimal-path-problem\/","title":{"rendered":"Barrier Minimal Path Problem"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-1876\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2020\/12\/Barrier-Min-Path-Fig2.jpg\" alt=\"\" width=\"200\" height=\"207\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2020\/12\/Barrier-Min-Path-Fig2.jpg 400w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2020\/12\/Barrier-Min-Path-Fig2-291x300.jpg 291w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>This is a nifty little problem from the <em>Quantum<\/em> math magazine.<\/p>\n<p>\u201cTwo ants stand at opposite corners of a 1-meter square. A barrier was placed between them in the form of half a 1-meter square attached along the diagonal of the first square, as shown in the picture. One ant wants to walk to the other. How long is the shortest path?\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Barrier-Min-Path-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2020\/12\/Barrier-Minimal-Path-Problem-200728.pdf\">Barrier Minimal Path Problem<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a nifty little problem from the Quantum math magazine. \u201cTwo ants stand at opposite corners of a 1-meter square. A barrier was placed between them in the form of half a 1-meter square attached along the diagonal of the first square, as shown in the picture. One ant wants to walk to the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[153,194],"class_list":["post-1878","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-optimization","tag-quantum-magazine"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1878","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=1878"}],"version-history":[{"count":3,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1878\/revisions"}],"predecessor-version":[{"id":3716,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1878\/revisions\/3716"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=1878"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=1878"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=1878"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}