{"id":1492,"date":"2009-06-09T06:45:44","date_gmt":"2009-06-09T11:45:44","guid":{"rendered":"http:\/\/www.shakespeareteacher.com\/blog\/?p=1492"},"modified":"2013-09-01T18:51:53","modified_gmt":"2013-09-01T23:51:53","slug":"conundrum-pic-tac-toe-in-3d-part-v","status":"publish","type":"post","link":"https:\/\/www.shakespeareteacher.com\/blog\/archives\/1492","title":{"rendered":"Conundrum: Pic Tac Toe in 3D, Part V"},"content":{"rendered":"<p>Has it really been almost a year since we&#8217;ve had a 3D Pic Tac Toe?<\/p>\n<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\/474\">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\/P5A1.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"97\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5A1.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5A2.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"111\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5A2.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5A3.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"100\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5A3.jpg\" width=\"150\" \/><\/a><br \/>\n<a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5A4.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"99\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5A4.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5A5.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"105\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5A5.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5A6.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"112\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5A6.jpg\" width=\"150\" \/><\/a><br \/>\n<a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5A7.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"107\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5A7.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5A8.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"150\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5A8.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5A9.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"100\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5A9.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\/P5B1.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"100\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5B1.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5B2.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"215\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5B2.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5B3.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"100\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5B3.jpg\" width=\"150\" \/><\/a><br \/>\n<a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5B4.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"117\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5B4.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5B5.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"225\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5B5.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5B6.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"220\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5B6.jpg\" width=\"150\" \/><\/a><br \/>\n<a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5B7.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"100\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5B7.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5B8.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"213\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5B8.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5B9.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"112\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5B9.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\/P5C1.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"186\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5C1.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5C2.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"98\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5C2.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5C3.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"124\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5C3.jpg\" width=\"150\" \/><\/a><br \/>\n<a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5C4.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"95\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5C4.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5C5.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"103\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5C5.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5C6.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"221\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5C6.jpg\" width=\"150\" \/><\/a><br \/>\n<a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5C7.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"202\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5C7.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5C8.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"248\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5C8.jpg\" width=\"150\" \/><\/a><a href=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5C9.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" height=\"205\" src=\"http:\/\/www.shakespeareteacher.com\/blog\/wp-content\/images\/P5C9.jpg\" width=\"150\" \/><\/a><\/p>\n<p>Please post whatever you come up with in the comments section.<\/p>\n<p>Enjoy!\n<\/p>\n<p>UPDATE: Correct themes provided by Neel Mehta (37), ArtVark (4), and Billie (8).  Alternate themes suggested by Billie (2), Neel Mehta (3), and Annalisa (1).  See comments for all answers.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Has it really been almost a year since we&#8217;ve had a 3D Pic Tac Toe? 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 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[84,30,54,53,26],"tags":[],"class_list":["post-1492","post","type-post","status-publish","format-standard","hentry","category-anne-hathaway","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\/1492","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=1492"}],"version-history":[{"count":22,"href":"https:\/\/www.shakespeareteacher.com\/blog\/wp-json\/wp\/v2\/posts\/1492\/revisions"}],"predecessor-version":[{"id":4632,"href":"https:\/\/www.shakespeareteacher.com\/blog\/wp-json\/wp\/v2\/posts\/1492\/revisions\/4632"}],"wp:attachment":[{"href":"https:\/\/www.shakespeareteacher.com\/blog\/wp-json\/wp\/v2\/media?parent=1492"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shakespeareteacher.com\/blog\/wp-json\/wp\/v2\/categories?post=1492"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shakespeareteacher.com\/blog\/wp-json\/wp\/v2\/tags?post=1492"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}