Okay, so they only got the third stage wrong. I guess that's somewhere between our two original posts. I enjoyed looking at all the Saturn 5 pictures, even if I only partly managed to correct your claim. The site I found indicated that they used a Saturn IB for the test vehicle, so maybe that's how they got tripped up on the movie. They may have used IB photos for the third stage rather than a flight Saturn V. Since the flight vehicles all looked pretty much the same, though, and there's so many pictures of them, it's hard to imagine how they could have messed this up. Maybe they just thought the IB paint looked better?

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Wayne
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"Epistemology models ontology" - John Polkinghorne