Fold the square in half, diagonally. Position the paper so that the non-colored side is facing up. The longest leg of the triangle should face your body.
Create a crease. Form the triangle in half by pressing one side of the triangle into the other. Unfold the triangle.
Form the ears. Fold the right side of the triangle so that the right edge hits the center crease. The fold should be a narrow triangle. Repeat this process on the left side.
Create the head. Press the original triangle's tip over, so that the tip becomes a flat edge.
Turn the origami rag-doll cat over so that you can see the head of the cat.