{"id":1644,"date":"2020-06-20T07:49:47","date_gmt":"2020-06-20T11:49:47","guid":{"rendered":"http:\/\/josmfs.net\/?p=1644"},"modified":"2024-04-08T13:05:19","modified_gmt":"2024-04-08T17:05:19","slug":"three-counting-puzzles","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2020\/06\/20\/three-counting-puzzles\/","title":{"rendered":"Three Counting Puzzles"},"content":{"rendered":"<p><strong><img loading=\"lazy\" decoding=\"async\" class=\"size-large wp-image-2194 aligncenter\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/06\/Three-Counting-Puzzles-Fig2-1024x426.jpg\" alt=\"\" width=\"625\" height=\"260\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/06\/Three-Counting-Puzzles-Fig2-1024x426.jpg 1024w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/06\/Three-Counting-Puzzles-Fig2-300x125.jpg 300w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/06\/Three-Counting-Puzzles-Fig2-768x319.jpg 768w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/06\/Three-Counting-Puzzles-Fig2-624x259.jpg 624w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/06\/Three-Counting-Puzzles-Fig2.jpg 1203w\" sizes=\"auto, (max-width: 625px) 100vw, 625px\" \/><\/strong><\/p>\n<p>Here are three counting puzzles from Alex Bellos\u2019s book, <em>Can You Solve My Problems?<\/em>\u00a0 Bellos recalls the famous legend of the young Gauss in the 19<sup>th<\/sup> century who summed up the whole numbers from 1 to 100 by finding a pattern that would simplify the work.\u00a0 Bellos also mentioned that Alcuin some thousand years earlier had discovered a similar, but different, pattern to sum up the numbers.\u00a0 In presenting these three problems he said, \u201cThe lesson \u2026 is this: If you\u2019re asked to add up a whole bunch of numbers, don\u2019t undertake the challenge literally.\u00a0 Look for the pattern and use it to your advantage.\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Three-Counting-Puzzles-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2020\/06\/Three-Counting-Puzzles-200313.pdf\">Three Counting Puzzles<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Here are three counting puzzles from Alex Bellos\u2019s book, Can You Solve My Problems?\u00a0 Bellos recalls the famous legend of the young Gauss in the 19th century who summed up the whole numbers from 1 to 100 by finding a pattern that would simplify the work.\u00a0 Bellos also mentioned that Alcuin some thousand years earlier [&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":[15,201,202],"class_list":["post-1644","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-alex-bellos","tag-arithmetic","tag-gauss"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1644","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=1644"}],"version-history":[{"count":5,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1644\/revisions"}],"predecessor-version":[{"id":3746,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1644\/revisions\/3746"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=1644"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=1644"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=1644"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}