{"id":472,"date":"2021-10-29T15:31:27","date_gmt":"2021-10-29T20:31:27","guid":{"rendered":"https:\/\/blogs.acu.edu\/mu_sigma\/?p=472"},"modified":"2021-11-05T12:47:34","modified_gmt":"2021-11-05T17:47:34","slug":"problem-6-jack-o-squares-october-29-2021","status":"publish","type":"post","link":"https:\/\/blogs.acu.edu\/mu_sigma\/2021\/10\/29\/problem-6-jack-o-squares-october-29-2021\/","title":{"rendered":"Problem 6 &#8211; Jack O&#8217; Squares &#8211; October 29, 2021"},"content":{"rendered":"<h4>Problem 6 &#8211; Jack O&#8217; Squares<\/h4>\n<p>Consider the following Jack-O-Grid of equally spaced Jack-O-Lanterns.<\/p>\n<p><a href=\"http:\/\/blogs.acu.edu\/mu_sigma\/files\/2021\/10\/Screen-Shot-2021-10-29-at-3.28.33-PM.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-473\" src=\"http:\/\/blogs.acu.edu\/mu_sigma\/files\/2021\/10\/Screen-Shot-2021-10-29-at-3.28.33-PM.png\" alt=\"\" width=\"258\" height=\"218\" srcset=\"https:\/\/blogs.acu.edu\/mu_sigma\/files\/2021\/10\/Screen-Shot-2021-10-29-at-3.28.33-PM.png 258w, https:\/\/blogs.acu.edu\/mu_sigma\/files\/2021\/10\/Screen-Shot-2021-10-29-at-3.28.33-PM-150x127.png 150w\" sizes=\"(max-width: 258px) 100vw, 258px\" \/><\/a><\/p>\n<p>How many squares are there, whose vertices are Jack-O-Lanterns in this grid?<\/p>\n<p>Solutions are due by 5:00 PM on Thursday, November 4th.\u00a0 Please submit all solutions to mathpotw@acu.edu.<\/p>\n<p>There were no correct solutions submitted for this problem as respondents didn&#8217;t consider the possibility of squares laid out diagonally.<\/p>\n<p><a href=\"http:\/\/blogs.acu.edu\/mu_sigma\/files\/2021\/10\/Screen-Shot-2021-11-05-at-12.46.11-PM.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-479\" src=\"http:\/\/blogs.acu.edu\/mu_sigma\/files\/2021\/10\/Screen-Shot-2021-11-05-at-12.46.11-PM-490x438.png\" alt=\"\" width=\"490\" height=\"438\" srcset=\"http:\/\/blogs.acu.edu\/mu_sigma\/files\/2021\/10\/Screen-Shot-2021-11-05-at-12.46.11-PM-490x438.png 490w, http:\/\/blogs.acu.edu\/mu_sigma\/files\/2021\/10\/Screen-Shot-2021-11-05-at-12.46.11-PM-480x429.png 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) 490px, 100vw\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problem 6 &#8211; Jack O&#8217; Squares Consider the following Jack-O-Grid of equally spaced Jack-O-Lanterns. How many squares are there, whose vertices are Jack-O-Lanterns in this grid? Solutions are due by 5:00 PM on Thursday, November 4th.\u00a0 Please submit all solutions to mathpotw@acu.edu. There were no correct solutions submitted for this problem as respondents didn&#8217;t consider [&hellip;]<\/p>\n","protected":false},"author":130,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[181534],"tags":[],"class_list":["post-472","post","type-post","status-publish","format-standard","hentry","category-problem-of-the-week"],"_links":{"self":[{"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/posts\/472","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/users\/130"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/comments?post=472"}],"version-history":[{"count":3,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/posts\/472\/revisions"}],"predecessor-version":[{"id":480,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/posts\/472\/revisions\/480"}],"wp:attachment":[{"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/media?parent=472"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/categories?post=472"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/tags?post=472"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}