Swipe to the South
The
platform with tiles orthogonal to it is pointing north, so north is up,
here. So a swipe down (South) results in the movement indicated.
Actually, the app works by moving forward 73 days, not 73 moves. You
will notice that the same towers are displayed, just in different
places. Each tower appears again two towers counterclockwise and one
tower outward. If this 73 day period includes a leap day, the
configuration will appear to be off one move. In that case, an
additional swipe westward realigns the configuration as shown.