Conundrum: Pic Tac Toe in 3D, Part II
Saturday, October 27th, 2007In a normal “Pic Tac Toe” puzzle, there are nine pictures in a 3×3 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 “Pic Tac Toe” puzzle, however, there are twenty-seven pictures in a 3x3x3 grid, like a Rubik’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.
Imagine stacking the three levels below on top of one another. For reference, and notation guidelines, check out my last 3D Pic Tac Toe, including the comments. The rules here are identical to that puzzle.
You can click on each image to see a larger version:
Top Level – Level A
Middle Level – Level B
Bottom Level – Level C
Please post whatever you come up with in the comments section.
Enjoy!
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 here to skip right to the answers.