Dear Maja and Vicki, this one’s for you!
Center the soap on the paper.
Pull ends to overlap.
Turn over soap.
Push in top ends of the paper at the same time (so that soap does not move).
Fold in the sides.
Bring the edge of the soap in line with the edge of the table. Push down the flap so that it is a straight line. (This is an important step if you want clean, crisp corners)
Turn over the soap again and fold in the flaps.
Voila! Soap wrapping without tape.