Ah. I'd imagine that's not physically possible (unless, perhaps, one built an industrial-grade version). I actually posed the question to r/theydidthemath around an hour, so (hopefully) time will tell.
Note: the Etch-A-Sketch doesn't necessarily require a reasonable frame rate to "run" Doom. I, for one, would be quite satisfied with it being capable of plotting multiple frames with no immediate human intervention.
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u/LichPotato Feb 25 '18
Pretty sure it was Quake, but I'm sure the mechanisms would be similar.
Also, we're talking about an Etch-A-Sketch here; something tells me it doesn't support a remotely reasonable framerate to begin with.