Four grids are given below. Determine the logic used in arriving at each successive grid. What would the next grid look like?

+---+---+---+   +---+---+---+    +---+---+---+   +---+---+---+
| x | o |   |   | o | x | o |    | x | o | x |   | o | x |   |
+---+---+---+   +---+---+---+    +---+---+---+   +---+---+---+
| o |   | o |   | x |   |   |    | o |   |   |   |   |   | x |
+---+---+---+   +---+---+---+    +---+---+---+   +---+---+---+
| x |   |   |   | o |   |   |    |   | o |   |   | o |   | o |
+---+---+---+   +---+---+---+    +---+---+---+   +---+---+---+ 

The x's go clockwise one position.
The o's go counterclockwise one position.

Thus after four moves, they're opposite where they started.

  +---+---+---+
  |   |   | x |
  +---+---+---+
  | o |   | o |
  +---+---+---+
  |   | o | x |
  +---+---+---+ 

 

Posted by Charlie on 2013-07-29 17:16:12