Its pretty easy to take 16 L-triominoes and make a giant L-triomino that is 4x scale, like in this
classic triomino puzzle.
But consider the four possible orientations of the L-triomino.
Is it still possible to make the 4x scale triomino if we require that only three orientations of the individual triominoes be present in the solution?
I wrote a program that tried all possible lists of 16 of a set of three orientations of Ls.
The 2nd number below is the 1st number in base 3, with the digits 0,1,2 specifying the orientation of the 16 Ls seen in the grid, numbered from left to right, top to bottom.
The orientation distribution I found was 3,6,7. Also, only one trio out of the possible 4 trios of orientations had a solution: this single one. I think my search was complete.
36484539 0201011212212112
1 1 2 2
1 3 3 2
4 3 5 5
4 4 5 6
7 8 8 6 6 9 10 10
7 7 8 11 11 9 9 10
12 13 13 14 11 15 16 16
12 12 13 14 14 15 15 16
Edited on October 9, 2021, 8:35 pm
soln
