{"id":207,"date":"2018-12-29T14:47:23","date_gmt":"2018-12-29T19:47:23","guid":{"rendered":"http:\/\/josmfs.net\/wordpress\/?p=207"},"modified":"2022-05-26T19:38:52","modified_gmt":"2022-05-26T23:38:52","slug":"three-jugs-problem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2018\/12\/29\/three-jugs-problem\/","title":{"rendered":"Three Jugs Problem"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-208\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2018\/12\/Three-Jugs-Prob-Billiard-Table.jpg\" alt=\"\" width=\"200\" height=\"107\">Years ago (1967) I read about an interesting solution to the three jugs problem in a book by Nathan Court which involved the idea of a billiard ball traversing a skew billiard table with distributions of the water between the jugs listed along the edges of the table. The ball bounced between solutions until it ended on the desired value. I thought it was very clever, but I really did not understand why it worked. Later I figured out an explanation, which I present here. See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2018\/12\/Three-Jugs-Problem-171017.pdf\">Three Jugs Problem<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Years ago (1967) I read about an interesting solution to the three jugs problem in a book by Nathan Court which involved the idea of a billiard ball traversing a skew billiard table with distributions of the water between the jugs listed along the edges of the table. The ball bounced between solutions until it [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[28,29,242,75,88],"class_list":["post-207","post","type-post","status-publish","format-standard","hentry","category-curiosities-and-questions","tag-henry-dudeney","tag-martin-gardner","tag-mixture-problems","tag-skew-billiard-table","tag-ternary-numbers"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/207","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=207"}],"version-history":[{"count":3,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/207\/revisions"}],"predecessor-version":[{"id":2702,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/207\/revisions\/2702"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=207"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=207"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=207"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}