{"id":1905,"date":"2021-01-02T07:32:11","date_gmt":"2021-01-02T12:32:11","guid":{"rendered":"http:\/\/josmfs.net\/?p=1905"},"modified":"2024-04-08T09:57:58","modified_gmt":"2024-04-08T13:57:58","slug":"christmas-tree-puzzle","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2021\/01\/02\/christmas-tree-puzzle\/","title":{"rendered":"Christmas Tree Puzzle"},"content":{"rendered":"

\"\"<\/h1>\n

James Tanton has come up with another imaginative concrete problem<\/a> harboring a mathematical pattern.<\/p>\n

\u201c60 trees in a row. Their stars are yellow, orange, blue, Y, O, B, Y, O, B, … Their pots are orange, yellow, pink, blue, O, Y, P, B, O, Y, P, B, … Their baubles are mauve, pink, yellow, blue, orange, M, P, Y, B, O, M, P, Y, B, O, … Must there be an all yellow tree? All B? One with star = O, pot = O, baubles = M?\u201d<\/p>\n

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

See the Christmas Tree Puzzle<\/a> for a solution.<\/p>\n","protected":false},"excerpt":{"rendered":"

James Tanton has come up with another imaginative concrete problem harboring a mathematical pattern. \u201c60 trees in a row. Their stars are yellow, orange, blue, Y, O, B, Y, O, B, … Their pots are orange, yellow, pink, blue, O, Y, P, B, O, Y, P, B, … Their baubles are mauve, pink, yellow, blue, […]<\/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":[133,43],"class_list":["post-1905","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-algebra","tag-james-tanton"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1905","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=1905"}],"version-history":[{"count":3,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1905\/revisions"}],"predecessor-version":[{"id":3707,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1905\/revisions\/3707"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=1905"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=1905"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=1905"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}