
- You can crumple this sheet as a paper ball but the growth of a network of high energy ridges and vertices (d-cones) will hinder the formation of a dense object. It is indeed very difficult to attain 50% of compaction even by applying very large forces !
On the contrary, you can try to make with great care regular folds following a complex origami scheme to get the most compact morphology, i.e., the smallest volume for a given sheet but this is rather time consuming !
Why not using self-organization of folds ?
Here, we show that you can produce very easily optimal self-similar patterns of fold by constraining a sheet at one edge, i.e., a hanging curtain. By exploring these self-organized curtains, we uncover an universal law governing the shape of the sheet whatever the used materials, from graphene to fabrics. In addition, we show that these spontaneous patterns can be manipulated by adding a simple tensile force, regularizing the complex hierarchy of folds.

