  | Shape Changing {from offset 2 x 4s} |    | 
 
A Shape Changer is any call in which the floor spots occupied by dancers at the 
  beginning of the call are different than the floor spots occupied by dancers at the 
  end of the call. In other words, the geometric shape of the formation has changed 
  either by rotating 90° or by evolving into a different formation. For the 
  purposes of this appendix, we will only discuss calls done from 2x4s that are offset 
  by 50% which, after execution, rotate the original starting footprints by 90°.
When dancing calls without Phantoms from setups that are not offset, one does not 
  need to concern oneself with the Shape Changing aspect of a call; however, when 
  dancing Shape Changers from a Parallelogram or Offset 2x4, this becomes a very 
  important aspect indeed. When doing a non-Shape Changing call from an offset setup, 
  you re-establish the exact footprints on the floor at the conclusion of the call 
  that you had at the beginning of the call. With a Shape Changer, however, re-establishing 
  footprints to the exact starting formation is not possible, but establishing relative 
  footprints in a complementary formation is possible, and a method for doing so is described below.
There are two parameters to remember when dealing with any offset formation:
- The Shear Line is the imaginary line which evenly divides the formation into 
  two halves, and along which exactly half of the dancers have been shifted 50% 
  relative to the other half of the dancers. Assuming that you are Squared off to 
  the walls and that the caller is at the North or South end of the hall, the 
  Shear Line is either a North-South dividing line (henceforth called a Head Shear 
  since it bisects the square through the Heads initial starting position), or 
  an East-West dividing line (henceforth called a Side Shear since it bisects the 
  square through the Sides initial starting position). Note that the Shear Line 
  always passes through the very Center of the set.
 - The Shift Direction is the direction along the Shear Line in which the dancers 
  have been shifted. The Shift Direction is either Clockwise (CW) or 
  Counter-Clockwise (CCW). Note that "Right" or "Left" or "Up" or "Down" would 
  be insufficient information, since exactly half the dancers would be shifted 
  in one direction (e.g., "Right") while their opposite dancers would be shifted 
  in the opposite direction (e.g., "Left"). Right-Left fails to clarify which half 
  of the square is shifted in which direction (i.e., is the top half shifted Right, 
  or is the bottom half shifted Right?). CW and CCW, on the other hand, indicate 
  the Shift Direction of both halves of the square at the same time. To determine 
  whether the Shift Direction is CW or CCW, imagine grabbing the dancers on one 
  side of the Shear Line with one hand and grabbing the dancers on the other side 
  of the Shear Line with your other hand, almost like holding a steering wheel. 
  Now, imagine simultaneously moving both halves of the square along the Shear Line 
  in the direction of the offset, one hand in one direction and the other hand in 
  the opposite direction. If you turn the "steering wheel" to the right, the Shift 
  Direction is Clockwise (CW); if you turn the "steering wheel" to the Left, the 
  Shift Direction is Counter-Clockwise (CCW).
 
To dance Shape Changers from offset formations, you must determine the Shear Line 
  and Shift Direction of the starting formation, execute the call given, and then 
  make sure that you re-establish the same Shear Line and the same Shift Direction 
  in your ending formation.