each of the fire traps has a different solution which you can see once you 'unlock' the paintings in the each area corresponding to that set of tiles. The three solutions are as follows (but bear in mind that using these to skip the extra areas will leave you unable to fulfill some companion side quests for the DLC).
" H " ~ starting from the left side when facing the fire flip all three tiles vertically in the first and third column as well as one in the middle of the second column.
" T " ~ the shape of the T is on it's side, flip all tiles in the first column and all tiles in the middle horizontal row.
" I H " ~ flip all tiles in the first column, skip one column and then make an H pattern (as described above) with the remaining three column.