{"id":1532,"date":"2020-03-25T08:46:58","date_gmt":"2020-03-25T12:46:58","guid":{"rendered":"http:\/\/josmfs.net\/?p=1532"},"modified":"2024-04-09T15:02:37","modified_gmt":"2024-04-09T19:02:37","slug":"rubber-band-ant","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2020\/03\/25\/rubber-band-ant\/","title":{"rendered":"Rubber Band Ant"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-1530\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2020\/03\/Rubber-Band-Ant-Fig.jpg\" alt=\"\" width=\"200\" height=\"31\" \/>This is a stimulating little problem from the ever-creative <a href=\"https:\/\/twitter.com\/jamestanton\/status\/1240999581392896000\">James Tanton<\/a>:<\/p>\n<p>\u201cAn ant is at the east end of an infinite stretchy band, initially 2 ft long. Each day: ant walks 1 ft west on the band. Overnight while sleeping, band stretches to double its length (carrying ant westward as does so). Same routine each day\/night. Will ant cover 99% of band&#8217;s length?\u201d<\/p>\n<p>(Ant from clipart-library.com)<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Rubber-Band-Ant-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2020\/03\/Rubber-Band-Ant-200322.pdf\">Rubber Band Ant<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a stimulating little problem from the ever-creative James Tanton: \u201cAn ant is at the east end of an infinite stretchy band, initially 2 ft long. Each day: ant walks 1 ft west on the band. Overnight while sleeping, band stretches to double its length (carrying ant westward as does so). Same routine each [&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":[35,43],"class_list":["post-1532","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-geometric-series","tag-james-tanton"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1532","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=1532"}],"version-history":[{"count":2,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1532\/revisions"}],"predecessor-version":[{"id":3771,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1532\/revisions\/3771"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=1532"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=1532"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=1532"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}