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 Tatami Tiling (Posted on 2016-03-29)
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 No Rating

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 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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