How shapable is a crumpled sheet of paper?

We crumpled a sheet of tissue paper (spacer sheet between US letter-sized transparency slides) into a tight wad and then re-opened it. To demonstrate its ability to mold to different shapes, we wrapped it around different objects and then removed the sheet from the mold and made a short video to show its three-dimensional shape.

Side of box

To show cylindrical curvature, we wrapped the sheet around the sides of a long, narrow box.

video

jar

To show positive Gaussian curvature, we wrapped the sheet around a small cardboard jar.

video

crossed boxes

To show negative Gaussian curvature, we wrapped the sheet around two crossed boxes to form a saddle shape.

video