Enter into a vertical stack
The first cut is initiated from the back of the stack (ie. 4)
4 reaches the front of the stack
after reaching the front, 4 goes to the middle of the stack. As 4 goes to the middle, 3 is already making their cut but on the other side of the field.
everyone else in the stack walks backwards making room for the front
As 3 finishes their cut, they go to the front of the stack. At the same time, 2 makes their cut.
The rest of the stack moves backwards.
Repeat the process and continue