ABSTRACT
Axisymmetric solids with external pleats are produced by aligning pairs of a line and a curve rotationally symmetrically. Fold lines do not have to meet in the center of the paper. Instead, place a regular polygon and extend the fold lines from it. Crease pattern folds to a flower shape with its folds a bit open. Using the same crease pattern, fold the straight fold lines at 180 degrees, then have tightly overlapping portions. Sphere is formed with 16 line-and-curve pairs aligned in parallel. The overlapped top and bottom portions cause both ends to tightly close after rolling. Curves drawn with hands do not work well. The crease pattern of this work was computer calculated. The radially placed line-and-curve pairs formed this egg wrapping shape after folds. At the base, the paper overlaps and closes tightly.
