{"id":388,"date":"2007-12-18T23:42:40","date_gmt":"2007-12-19T04:42:40","guid":{"rendered":"http:\/\/www.shakespeareteacher.com\/blog\/archives\/388"},"modified":"2013-09-01T21:45:29","modified_gmt":"2013-09-02T02:45:29","slug":"conundrum-pic-tac-toe-in-3d-part-iii","status":"publish","type":"post","link":"https:\/\/www.shakespeareteacher.com\/blog\/archives\/388","title":{"rendered":"Conundrum: Pic Tac Toe in 3D, Part III"},"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\/349\">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 href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D301.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"110\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D301.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D302.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"213\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D302.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D303.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"118\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D303.jpg\" width=\"150\" \/><\/a><br \/>\n<a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D304.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"118\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D304.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D305.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"74\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D305.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D306.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"194\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D306.jpg\" width=\"150\" \/><\/a><br \/>\n<a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D307.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"218\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D307.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D308.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"149\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D308.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D309.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"97\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D309.jpg\" width=\"150\" \/><\/a><\/p>\n<h2>Middle Level &#8211; Level B<\/h2>\n<p><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D310.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"222\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D310.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D311.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"103\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D311.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D312.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"167\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D312.jpg\" width=\"150\" \/><\/a><br \/>\n<a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D313.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"151\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D313.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D314.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"213\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D314.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D315.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"100\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D315.jpg\" width=\"150\" \/><\/a><br \/>\n<a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D316.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"225\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D316.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D317.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"133\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D317.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D318.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"214\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D318.jpg\" width=\"150\" \/><\/a><\/p>\n<h2>Bottom Level &#8211; Level C<\/h2>\n<p><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D319.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"206\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D319.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D320.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"108\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D320.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D321.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"150\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D321.jpg\" width=\"150\" \/><\/a><br \/>\n<a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D322.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"222\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D322.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D323.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"228\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D323.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D324.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"150\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D324.jpg\" width=\"150\" \/><\/a><br \/>\n<a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D325.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"222\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D325.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D326.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"163\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D326.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D327.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"224\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/PTT3D327.jpg\" width=\"150\" \/><\/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) and Billie (7). Alternate themes suggested by Neel Mehta (2), Econgator (1), and Billie (2). See comments for discussion, or click <a href=http:\/\/www.shakespeareteacher.com\/blog\/archives\/388#comment-4739>here<\/a> to skip right to the answers.<\/p>\n<p><!--23a61445b05bf3d5bf3517e1c58df026--><\/p>\n<\/p>\n<p><!--31e0fed3a7a01047fdd392670d058f77--><\/p>\n<\/p>\n<p><!--60808512e15834ee3029c3c9da82c2ab-->\n<\/p>\n<p><!--3d18f4f9bc0894742e29d3b17ebeba68--><\/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":[30,54,92,53,26],"tags":[],"class_list":["post-388","post","type-post","status-publish","format-standard","hentry","category-conundrum","category-pic-tac-toe","category-richard-iii","category-special-feature","category-visual-arts"],"_links":{"self":[{"href":"https:\/\/www.shakespeareteacher.com\/blog\/wp-json\/wp\/v2\/posts\/388","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=388"}],"version-history":[{"count":1,"href":"https:\/\/www.shakespeareteacher.com\/blog\/wp-json\/wp\/v2\/posts\/388\/revisions"}],"predecessor-version":[{"id":4686,"href":"https:\/\/www.shakespeareteacher.com\/blog\/wp-json\/wp\/v2\/posts\/388\/revisions\/4686"}],"wp:attachment":[{"href":"https:\/\/www.shakespeareteacher.com\/blog\/wp-json\/wp\/v2\/media?parent=388"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shakespeareteacher.com\/blog\/wp-json\/wp\/v2\/categories?post=388"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shakespeareteacher.com\/blog\/wp-json\/wp\/v2\/tags?post=388"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}