{"id":567,"date":"2019-01-26T18:36:59","date_gmt":"2019-01-26T23:36:59","guid":{"rendered":"http:\/\/josmfs.net\/?p=567"},"modified":"2024-04-14T20:39:25","modified_gmt":"2024-04-15T00:39:25","slug":"pool-party","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2019\/01\/26\/pool-party\/","title":{"rendered":"Pool Party"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-2168\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/06\/Pool-Party-Fig2.jpg\" alt=\"\" width=\"202\" height=\"207\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/06\/Pool-Party-Fig2.jpg 647w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/06\/Pool-Party-Fig2-292x300.jpg 292w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/06\/Pool-Party-Fig2-624x640.jpg 624w\" sizes=\"auto, (max-width: 202px) 100vw, 202px\" \/>Futility Closet offers another interesting puzzle:<\/p>\n<p>\u201cA billiard ball is resting on a table that measures 10 feet by 5 feet. A player hits it with no \u2018English\u2019 and it strikes four different cushions and returns to its starting point. University of Alberta mathematician Murray Klamkin asks: How far did it travel?\u201d<\/p>\n<p>After solving the problem myself, I verified that Futility Closet provides an answer, but without real justification. So I thought I would write up my solution.<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Pool-Party-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/01\/Pool-Party-180213.pdf\">Pool Party<\/a> for a solution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Futility Closet offers another interesting puzzle: \u201cA billiard ball is resting on a table that measures 10 feet by 5 feet. A player hits it with no \u2018English\u2019 and it strikes four different cushions and returns to its starting point. University of Alberta mathematician Murray Klamkin asks: How far did it travel?\u201d After solving 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":[16],"class_list":["post-567","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-futility-closet"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/567","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=567"}],"version-history":[{"count":4,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/567\/revisions"}],"predecessor-version":[{"id":3923,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/567\/revisions\/3923"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=567"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=567"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=567"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}