New York City reporting in, can confirm the subways have been plastered in Mullvad ads for months. I’m so glad I switched away last year, so that at least I know none of my money is used to spam my own eyeballs. Though in some sense it is nice that VPNs are common in public discourse now.
Ah, I can see OP’s line of thought now:
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!
PH would be parallel to n
The question doesn’t posit that.
Spoiler alert: the image has no relation to the question, it’s just something OP picked to elicit that “3D geometry” feeling. There is a point A’, a point B, point C, and point D, but no point P or H or n.
quantum computing is revolutionary because it allows instant transmission of information across unlimited space
False and common misconception! In quantum mechanics there is even a theorem called the no-communication theorem that mathematically proves that no information can ever be transmitted by quantum entanglement. Sorry!
Gravity—the curvature of space-time—can’t stop changes in the curvature of spacetime from propagating outward.
This is false. If it were true, you could build a device to communicate from inside a black hole event horizon. By waving around a heavy ball you would create gravitational waves that a sensitive enough LIGO outside the black hole could detect. But this is impossible. You would create gravitational waves, yes, but they would fall towards the center singularity same as you, and will never penetrate and escape the event horizon.
IMHO if you don’t have a globally-reachable address or forwarded port, you are not really a participant of the internet, you are just a receptacle xD
One service I never see mentioned is OVPN. They have a 1-to-1 feature parity with mullvad and were an easy drop-in replacement when mullvad closed their ports:
I used mullvad for years, sad to see them go, and all my scripts basically worked without any change other than the server addresses/public keys. Only downside is they don’t have as many users so not as many servers. I wish more people would join up so I get more IPs to choose from :D
The yyyy-mm-dd format (ISO 8601) is the only one that is unambiguous, because no one so far in history has ever used the yyyy-dd-mm format (at least until some xkcd-reading jokester probably will start using it just out of spite). I use ISO 8601 everywhere. It has the additional benefit that filenames get sorted correctly in lexographical order.
I run a Minecraft server. Couldn’t have done it without port forwarding.