Square Dance

Geometry Level 1

A square dance has the following commands:

  • "Rotate Right" means everyone moves one pace around the square, counterclockwise.
  • "Rotate Left" means everyone moves one pace around the square, clockwise.
  • "Diagonal Swap" means the person in the lower-left position and the person in the upper-right position switch places, while the other two people stay still.

The Butterfly Basket is a dance that consists of many moves that individual do dancing in place, plus 21 repetitions of the sequence:

{Diagonal Swap -- Rotate Left -- Rotate Left -- Diagonal Swap -- Rotate Right -- }

If Amy starts the dance in the upper left corner of her square, where does she end up at the end of the Butterfly Basket?

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