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( 2)

Thanks!

Yeah, some of the trophies are probably hard -- the times are based on a computer solver, who sometimes finds ways to cut off time that I was not expecting. (Although a few seconds over the solver's solution are allowed.)

Nil is homogeneous (the same at every reference point) but anisotropic (not the same in every direction). Although it is rotationally symmetric (the up/down direction is special, but you can rotate around this axis).

No idea about actual planets :) I do not think anybody has studied that.

Hmm...that, actually doesn't make sense.

Imagine you're just a floating sphere and there's a few structures nearby for reference. A random direction is picked from the NESW plane and you're pushed in it. Since nil space is anisotropic, how much do you go up or down? If NESW are relatively interchangeable, you could be interpreted as being closer to NW and going up, or closer to SE and going down. Or a middle and staying vertically still. That's kind of a paradox, really. I would assert that NESW are also anisotropic this way.

Does it mostly count based on how much you actually turn once you start travelling? I mean, it can't really, because the bird immediately goes up once it starts going on the path in the explanation video. But then it goes in all directions, and as long as the turn is counterclockwise, it goes up. Aaaaaaaagh (/─_─\)

Are you just naturally N when you start arbitrarily moving and turn from there