Homework 2, Hint for the Koch curve:

You'll need the formula to rotate a point around the origin.
Suppose that
    - x, y:	 are the coordinates of the original point
    - x', y':	 are the coordinates of the new point, after rotation around the origin
    - theta:	is the angle of rotation

then
    x' = x* cos(theta) - y * sin(theta)
    y' = x* sin(theta) + y * cos(theta)

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christos