The wiggles sum up with just enough overlap to make it difficult to spot the underlying structure of this pattern. At the top of this image, you can make out each wiggle and its rotation, but in the lower half, without the orange spots to guide you, the pattern is messy enough to obscure the really rather regular grid and the locations of the individual wiggles. If you know what to look for, you can still see it, but it's not immediately apparent to a casual observer, and that's what matters.
This becomes even more clear if we look at a somewhat larger area of noise.
// Text in this pane will be dynamically replaced.