

Ah, I can see OP’s line of thought now:
- you have a point A’ on a plane and a random point A
- you find a midpoint B and draw a sphere around it. A and A’ are now a diameter of the sphere
- pick two random points D and C at the intersection of the plane and the sphere
- by the “triangle inscribed in a circle/sphere where one side is a diameter” rule, such a triangle must be a right triangle
- therefore both angles ACA’ and ADA’ are right angles
- thus C and D both satisfy the conditions of the initial question (with all points renamed: A=P, (C or D)=H, A’=A)
- OP never defined what a projection is, it being “4th grade math”, but one of the requirements is being unique
- C and D cannot both be the projection, therefore the initial question must be answered “false”: just because AH is perpendicular to PH doesn’t make H a projection.
I like treating posts as puzzles, figuring out thread by thread WTF they are talking about. But dear OP, let me let you know, your picture and explanation of it are completely incomprehensible to everyone else xD. The picture is not an illustration to the question but a sketch of your search for a counterexample, with all points renamed of course, but also a sphere appearing out of nowhere (for you to invoke the inscribed-triangle-rule, also mentioned nowhere). Your headline question is a non-sequitur, jumping from talking about 4D (never to be mentioned again) into a ChatGPT experiment, into demanding more education in schools. You complain about geometry being hard but also simple. The math problem itself was not even your question, yet it distracted everyone else from whatever it is you were trying to ask. If you ever want to get useful answers from people other than crazed puzzleseekers like me, you’ll need to use better communication!
I know Lemmy hates AI, but this actually would be a perfect use for it. The problem is the idea of what an ad is. Yes, you could try to use secondary characteristics like image color or sound normalized volume (WhyTF do youtube ads still sound 3x louder than content? are we living in cable era again?), but they would be error-prone for any content more visually intense than a podcast. They would also not capture sponsorblock content like “I love showing you all these foreign countries but what I love even more is having my internet connection secure” that match the video flow. A crowdsourced lookup table of all known ad clip fingerprints would go a long way, until ad videos themselves start being AI-generated on the fly for that sweet personalization revenue.
No, what I really want is to distill the idea of what I want to see into an AI and have it filter out what I don’t want to see for me. I know an ad when I see one, so AI can too. Pre-roll/mid-roll ads? Gone. Sponsorblock content? Gone. Like and subscribe? Skipped as if it didn’t exist. Virtual billboards on the sidelines of sporting events? Overlayed with kittens. Idiocracy banners squeezing the video from either side? Cropped and rescaled. Watermarks? Excised and content-aware-filled.
The last frontier is when the content itself is secretly an ad, imprinting upon you some idea or point of view. You’ll have to watch out for that one on your own.