does anybody know the solution for the puzzle where a piece of paper sides root2 and 1 where a corner is folded as to make a square and then another corner is folded as to make a smaller square adjacent to it.

square abcd is rotated anticlockwise 90 degrees centre of rotation d, to form a new square a'b'c'd'. then square a'b'c'd' is rotated 90 degrees anticlockwise, centre of rotation a'. draw the locus of the path that the corner marked takes during this rotation

square abcd is rotated anticlockwise 90 degrees centre of rotation d, to form a new square a'b'c'd'. then square a'b'c'd' is rotated 90 degrees anticlockwise, centre of rotation a'. draw the locus of the path that the corner marked takes during this rotation