PPT Slide
Yes, the second snake is a shifted, inter-mixed rotation of the first.
1 2 3 4 1 2 4 3 1 2 3 4 1 2 4 3 first snake
4 1 3 4 2 1 3 2 second snake
In the second snake we changed every 2 to a 3 and every 3 to a 2.
Then we shifted it to the right.
4 1 2 4 3 1 2 3 second snake with 3s and 2s swapped
4 1 2 4 3 1 2 3 second snake shifted right
1 2 3 4 1 2 4 3 1 2 3 4 1 2 4 3 first snake
Notes:
Swapping column numbers in this manner is the easy way of performing an inter-mixed rotation.