{"id":4535,"date":"2025-08-30T18:03:51","date_gmt":"2025-08-30T22:03:51","guid":{"rendered":"https:\/\/josmfs.net\/?p=4535"},"modified":"2025-08-30T18:03:51","modified_gmt":"2025-08-30T22:03:51","slug":"stacked-rhombuses-puzzle","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2025\/08\/30\/stacked-rhombuses-puzzle\/","title":{"rendered":"Stacked Rhombuses Puzzle"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-4532\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/08\/Stacked-Rhombuses-Puzzle-Fig2.jpg\" alt=\"\" width=\"250\" height=\"140\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/08\/Stacked-Rhombuses-Puzzle-Fig2.jpg 500w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/08\/Stacked-Rhombuses-Puzzle-Fig2-300x168.jpg 300w\" sizes=\"auto, (max-width: 250px) 100vw, 250px\" \/>This is a <a href=\"https:\/\/mindyourdecisions.com\/blog\/2025\/08\/10\/6-impossible-puzzles-with-surprising-solutions-2\/\">puzzle<\/a> from Talwalkar\u2019s set of \u201cImpossible Puzzles with Surprising Solutions.\u201d<\/p>\n<p>\u201cCall this puzzle the leaning tower of rhombi.<\/p>\n<p>There are 5 isosceles triangles, aligned along their bases, with base lengths of 12, 13, 14, 15, 16 cm. The 10 quadrilaterals above are in rows of 4, 3, 2, and 1. Each quadrilateral is a rhombus, and the top of the tower is a square. What is the area of the square?\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/08\/Stacked-Rhombuses-Puzzle-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/08\/Stacked-Rhombuses-Puzzle-250825.pdf\">Stacked Rhombuses Puzzle<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a puzzle from Talwalkar\u2019s set of \u201cImpossible Puzzles with Surprising Solutions.\u201d \u201cCall this puzzle the leaning tower of rhombi. There are 5 isosceles triangles, aligned along their bases, with base lengths of 12, 13, 14, 15, 16 cm. The 10 quadrilaterals above are in rows of 4, 3, 2, and 1. Each quadrilateral [&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":[71,13,17],"class_list":["post-4535","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-coffin-problem","tag-plane-geometry","tag-presh-talwalkar"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4535","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=4535"}],"version-history":[{"count":1,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4535\/revisions"}],"predecessor-version":[{"id":4536,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4535\/revisions\/4536"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=4535"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=4535"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=4535"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}