I was just looking at Adamav's solution again.
You could actually just wrap the grid around a tube and tape column 1 and column 10 together - then slide the letters up or down into place.
I don't have time to play with this anymore today, but this is how many you must move each column to get them into the right place:
Col 1 - up 0 or down 0
Col 2 - up 1 or down 9
Col 3 - up 2 or down 8
Col 4 - up 9 or down 1
Col 5 - up 5 or down 5
Col 6 - up 1 or down 9
Col 7 - up 8 or down 2
Col 8 - up 5 or down 5
Col 9 - up 8 or down 2
Col 10 - up 2 or down 8
The columns could also be numbered 0 - 9. The flowers could tell how many to slide up or down. Does the taller flower indicate column and the shorter indicate row, or might it indicate whether to move the column up or down? Does the stem with more leaves indicate which is the row or column? So many questions, so little time...
Whatever I feel like I wanna do. Gosh!