A hexomino tile is a tile in the shape of a regular hexagon with a number from 1 to n at each corner. The same number can appear on more than one corner.
A set of size n will have one tile with each possible configuration of numbers from 1-n in both clockwise and counterclockwise orientation.
How many hexomino tiles are in a size n set?
The # of Hexomino tiles in a size n set is equal to
n(n+1)(n^2+n+1)(n^2-n+2)
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6