It’s called a moiré pattern, and it occurs when viewing a set of lines or dots that is superimposed on another set of lines or dots, where the sets differ in relative size, angle, or spacing.
So I guess in this case you’re viewing the set of dots(pixels) that is your screen but you are viewing another set of lines or dots in that picture you take of another screen and these two sets of dots differ in size, position, angle or spacing, causing that moiré effect.
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