Friday, November 7, 2008

Friday November 7, 2008

Filed under: General,Geometry — m759 @ 2:22 PM
The Sincerest Form
of Flattery

At a British puzzle website today I found this, titled “Tiles Puzzle by Steven H. Cullinane”–


The version there states that

“there are 322,560 patterns made by swapping rows, swapping columns and swapping the four 2×2 quadrants!”

Actually, only 840 patterns can be made in this version. These are formed by 322,560 permitted permutations of the 16 tiles. This is also true in my Kaleidoscope Puzzle. For a display of all 322,560 permutations as pairs of (orthogonal) patterns, see the Diamond 16 Puzzle.

Update of Nov. 10, 2008: The error has been corrected.

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