{"id":2055,"date":"2021-03-13T10:00:02","date_gmt":"2021-03-13T15:00:02","guid":{"rendered":"https:\/\/josmfs.net\/?p=2055"},"modified":"2024-04-07T19:29:03","modified_gmt":"2024-04-07T23:29:03","slug":"nested-polygons-puzzle","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2021\/03\/13\/nested-polygons-puzzle\/","title":{"rendered":"Nested Polygons Puzzle"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-large wp-image-2053\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/03\/Nested-Polygons-Fig2-1024x401.jpg\" alt=\"\" width=\"625\" height=\"245\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/03\/Nested-Polygons-Fig2-1024x401.jpg 1024w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/03\/Nested-Polygons-Fig2-300x118.jpg 300w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/03\/Nested-Polygons-Fig2-768x301.jpg 768w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/03\/Nested-Polygons-Fig2-624x244.jpg 624w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/03\/Nested-Polygons-Fig2.jpg 1200w\" sizes=\"auto, (max-width: 625px) 100vw, 625px\" \/>These two interesting problems were posed on MEI\u2019s MathsMonday site on <a href=\"https:\/\/twitter.com\/MEIMaths\/status\/1224271310496206848\">3 February 2020<\/a> and <a href=\"https:\/\/twitter.com\/MEIMaths\/status\/1234418167868469251\">2 March 2020<\/a>, respectively.\u00a0 MEI and readers posted various approaches, but I used a method suggested by another problem whose origin I no longer recall.<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Nested-Polygons-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/03\/Nested-Polygons-Puzzle-210131.pdf\">Nested Polygons Puzzle<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>These two interesting problems were posed on MEI\u2019s MathsMonday site on 3 February 2020 and 2 March 2020, respectively.\u00a0 MEI and readers posted various approaches, but I used a method suggested by another problem whose origin I no longer recall. Answer. See the Nested Polygons Puzzle for solutions.<\/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":[213,13],"class_list":["post-2055","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-mathsmonday","tag-plane-geometry"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2055","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=2055"}],"version-history":[{"count":4,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2055\/revisions"}],"predecessor-version":[{"id":3697,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2055\/revisions\/3697"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=2055"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=2055"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=2055"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}