def hex_rotate_60(x, y, z, n=1):
    """Rotates the given hex n * 60 degrees counter clockwise around the origin,
    and returns the co-ordinates of the new hex."""
    n = n % 6
    if n == 0:
        return x, y, z
    if n == 1:
        return -y, -z, -x
    if n == 2:
        return z, x, y
    if n == 3:
        return -x, -y, -z
    if n == 4:
        return y, z, x
    if n == 5:
        return -z, -x, -y