Crumpling a sheet means a ruleless deformation of a flat sheet through uncoordinated forces. The act of "crumpling" is the result of the disordered impact of non-cordinated forces on an object. Crumpled sheets are produced by a deliberately disordered action applied to a sheet. In my experiments, I have applied crumpling to wire meshes and thin metal grids.
I do not find such crumpled sheet structures to be less solid than those folded in regular patterns. Crumpled sheets can be easily represented, as they actually were, in a Fourier analysis, as the sum or as the interference pattern of different regularly undulated 2-d surfaces of sinusoidal character. Their deformation under pressure is difficult to predetermine. As a consequence of this, crumpled surfaces are uncomfortable to calculate and are thus neglected by engineers.
The problem of implementing crumpled patterns in architecture arises less out of the technical problems involved and more out of the emotional reasons they raise. In spite of our familiarity with such shapes, in many cases, we find them aesthetically repulsive since they hurt our instinct for order. "Homo Faber" tries to impose his/her own geometric mind onto artefacts he/she creates. But is this attitude the only possible attitude?"
Friedman, Y. (2006). Pro Domo. Barcelona: Actar