{"id":2448,"date":"2021-10-30T09:14:08","date_gmt":"2021-10-30T13:14:08","guid":{"rendered":"https:\/\/josmfs.net\/?p=2448"},"modified":"2024-04-07T14:15:12","modified_gmt":"2024-04-07T18:15:12","slug":"polygon-rings","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2021\/10\/30\/polygon-rings\/","title":{"rendered":"Polygon Rings"},"content":{"rendered":"

\"\"This is a nice geometric problem from the Scottish Mathematical Council (SMC) Senior Mathematical Challenge of 2008.<\/p>\n

\u201cMahti has cut some regular pentagons out of card and is joining them together in a ring. How many pentagons will there be when the ring is complete?<\/p>\n

She then decides to join the pentagons with squares which have the same edge length and wants to make a ring as before. Is it possible? If so, determine how many pentagons and squares make up the ring and if not, explain why.\u201d<\/p>\n

Answer<\/a>.<\/p>\n

See the Polygon Rings<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"

This is a nice geometric problem from the Scottish Mathematical Council (SMC) Senior Mathematical Challenge of 2008. \u201cMahti has cut some regular pentagons out of card and is joining them together in a ring. How many pentagons will there be when the ring is complete? She then decides to join the pentagons with squares which […]<\/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":[13,221],"class_list":["post-2448","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-plane-geometry","tag-smc-challenge"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2448","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=2448"}],"version-history":[{"count":2,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2448\/revisions"}],"predecessor-version":[{"id":3660,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2448\/revisions\/3660"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=2448"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=2448"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=2448"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}