{"id":349,"date":"2007-10-27T00:14:51","date_gmt":"2007-10-27T04:14:51","guid":{"rendered":"http:\/\/www.shakespeareteacher.com\/blog\/archives\/349"},"modified":"2008-02-14T10:51:39","modified_gmt":"2008-02-14T15:51:39","slug":"conundrum-pic-tac-toe-in-3d-part-ii","status":"publish","type":"post","link":"https:\/\/www.shakespeareteacher.com\/blog\/archives\/349","title":{"rendered":"Conundrum: Pic Tac Toe in 3D, Part II"},"content":{"rendered":"<p>In a normal &#8220;Pic Tac Toe&#8221; puzzle, there are nine pictures in a 3&#215;3 grid, like Tic-Tac-Toe.  In each of the three rows, three columns, and two diagonals, there is a common theme that unites the three pictures. The challenge is to find the eight themes.<\/p>\n<p>In this &#8220;Pic Tac Toe&#8221; puzzle, however, there are twenty-seven pictures in a 3x3x3 grid, like a Rubik&#8217;s Cube.  In each of the nine rows, nine columns, nine pillars, eighteen lateral diagonals, and four cross-cube diagonals, there is a common theme that unites the three pictures. The challenge is to find the forty-nine themes.<\/p>\n<p>Imagine stacking the three levels below on top of one another.  For reference, and notation guidelines, check out <a href=http:\/\/www.shakespeareteacher.com\/blog\/archives\/332>my last 3D Pic Tac Toe<\/a>, including the comments.  The rules here are identical to that puzzle.<\/p>\n<p>You can click on each image to see a larger version:<\/p>\n<h2>Top Level &#8211; Level A<\/h2>\n<p><a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D201.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"222\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D201.jpg\" \/><\/a><a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D202.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"186\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D202.jpg\" \/><\/a><a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D203.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"151\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D203.jpg\" \/><\/a><br \/>\n<a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D204.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"45\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D204.jpg\" \/><\/a><a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D205.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D205.jpg\" \/><\/a><a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D206.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D206.jpg\" \/><\/a><br \/>\n<a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D207.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"112\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D207.jpg\" \/><\/a><a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D208.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"200\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D208.jpg\" \/><\/a><a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D209.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"221\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D209.jpg\" \/><\/a><\/p>\n<h2>Middle Level &#8211; Level B<\/h2>\n<p><a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D210.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"83\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D210.jpg\" \/><\/a><a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D211.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"162\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D211.jpg\" \/><\/a><a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D212.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"112\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D212.jpg\" \/><\/a><br \/>\n<a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D213.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"139\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D213.jpg\" \/><\/a><a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D214.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"214\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D214.jpg\" \/><\/a><a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D215.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"146\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D215.jpg\" \/><\/a><br \/>\n<a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D216.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D216.jpg\" \/><\/a><a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D217.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"208\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D217.jpg\" \/><\/a><a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D218.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"212\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D218.jpg\" \/><\/a><\/p>\n<h2>Bottom Level &#8211; Level C<\/h2>\n<p><a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D219.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"223\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D219.jpg\" \/><\/a><a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D220.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"220\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D220.jpg\" \/><\/a><a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D221.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"214\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D221.jpg\" \/><\/a><br \/>\n<a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D222.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D222.jpg\" \/><\/a><a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D223.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"222\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D223.jpg\" \/><\/a><a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D224.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"151\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D224.jpg\" \/><\/a><br \/>\n<a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D225.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"188\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D225.jpg\" \/><\/a><a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D226.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"118\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D226.jpg\" \/><\/a><a target=\"_blank\" href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D227.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"208\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D227.jpg\" \/><\/a><\/p>\n<p>Please post whatever you come up with in the comments section.<\/p>\n<p>Enjoy!<\/p>\n<p>UPDATE: Correct themes provided by Neel Mehta (35). Alternate themes suggested by Neel Mehta (6) and K-Lyn (1). See comments for discussion, or click <a href=http:\/\/www.shakespeareteacher.com\/blog\/archives\/349#comment-2999>here<\/a> to skip right to the answers.  <\/p>\n<p><!--573abee34613fe7b9f342d1161a5ca94--><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In a normal &#8220;Pic Tac Toe&#8221; puzzle, there are nine pictures in a 3&#215;3 grid, like Tic-Tac-Toe. In each of the three rows, three columns, and two diagonals, there is a common theme that unites the three pictures. The challenge is to find the eight themes. In this &#8220;Pic Tac Toe&#8221; puzzle, however, there are [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[30,54,53,26],"tags":[],"class_list":["post-349","post","type-post","status-publish","format-standard","hentry","category-conundrum","category-pic-tac-toe","category-special-feature","category-visual-arts"],"_links":{"self":[{"href":"https:\/\/www.shakespeareteacher.com\/blog\/wp-json\/wp\/v2\/posts\/349","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.shakespeareteacher.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.shakespeareteacher.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.shakespeareteacher.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.shakespeareteacher.com\/blog\/wp-json\/wp\/v2\/comments?post=349"}],"version-history":[{"count":0,"href":"https:\/\/www.shakespeareteacher.com\/blog\/wp-json\/wp\/v2\/posts\/349\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.shakespeareteacher.com\/blog\/wp-json\/wp\/v2\/media?parent=349"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shakespeareteacher.com\/blog\/wp-json\/wp\/v2\/categories?post=349"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shakespeareteacher.com\/blog\/wp-json\/wp\/v2\/tags?post=349"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}