For example, I've tried the following prompts on DALL-E 2, with no luck:
"Recursion"
"An image of a computer screen, displaying the same image"
"A Sierpinski triangle"
"A triangle inside another triangle, inside a third triangle, etc."
"An infinite series of Matrioshka dolls"
In order to resolve YES, at least 3/4 of the returned images must be recursive. (Each prompt, including minor variations on it, only gets one attempt. You can't try it 100 times and claim victory because it succeeded once.)
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@LoganZoellner
"A tv screen with another tv on the screen. an infinite "tunnel" illusion created by a tv screen inside of another tv screen, which also has a tv. an infinite number of tv screens, each smaller than the next."

@LoganZoellner Note that the one in the top left doesn't qualify, because it appears to stop after some number of iterations. But the other 3 do.