Structures ("wrinkles") in the Universe like filaments and haloes are essential components of the arrangement of matter on large scales. They form in analogy to the origami-folding of a sheet of dark matter. While these structures are fascinating, and conveniently allow observers like us to exist, they make it harder to extract cosmological information on nonlinear scales. In particular, sharp peaks greatly diminish the power of statistics in cosmology. I will discuss how simple local transformations can greatly enhance the power of spatial statistics. The same techniques can also be quite useful in relating galaxies to the underlying dark matter.