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Your examples compare more to a coffee-mug-bottom stain, as the mug is picked up and placed down sequentially....
Originally posted by ProudBird
Then, found this (even better) little animated graphic:
Contrail Simulations
When the above (^ ^ ^) first opens, it shows how the commonly-claimed "grids" or "waffle patterns" are made.
Then, you can use the slider controls within the Applet (is that what it's called?) to adjust.
It only shows airplanes on straight flight courses, so you have to imagine them in a turn....but the drifting of the contrails, the principles, should be clear to you.