I approve of the "generate a shitload of entropy and hash it" method. The reason I recommended my method is because it could be done with pen&paper, without any external functions. You can actually get a full hex private key without touching any external scripts or figuring out how to securely/privately execute hashes. Can be useful in some situations for people with nil programming experience.
But I also wasn't aware that many tools will do the hashing for you.
Anyway, it is not possible to derive the public key and the address without using using a computer
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Sure. But you're plugging it into an app that will generate that for you. Not all apps will apply hashes for you.