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Tatami Tiling (Posted on 2016-03-29) Difficulty: 2 of 5
A tatami tiling is a tiling of 1x1 squares and 1x2 rectangles such that no four tiles meet at any point.

Find a tatami tiling of a 5x5 square such that there are five 1x1 tiles, five horizontal 1x2 tiles, and five vertical 2x1 tiles.

See The Solution Submitted by Brian Smith    
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Solution solution | Comment 1 of 2
+---+---+---+---+---+
|   |       |   |   |
+   +---+---+---+   +
|   |   |       |   |
+---+   +---+---+---+
|   |   |   |       |
+---+---+   +---+---+
|       |   |   |   |
+---+---+---+   +---+
|   |       |   |   |
+---+---+---+---+---+

being a truncation of an infinite tiling, where the 1x1 tiles are really just half of 1x2 tiles on that infinite tiling.

            +---+
            |   |
+---+---+---+   +---+
|   |       |   |   |
+   +---+---+---+   +
|   |   |       |   |
+---+   +---+---+---+
    |   |   |       |
+---+---+   +---+---+---+
|       |   |   |       |
+---+---+---+   +---+---+
    |       |   |   |
+---+---+---+---+   +
                |   |
            +---+---+


  Posted by Charlie on 2016-03-29 10:27:33
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