the Hearth @Felthry@awoo.space

@sharkNserg i don't knwo what kind of gender it would represent but i'd use it
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@xenon huh! it's one of the biggest fantasy book series, was finished posthumously by another author about tenish years ago

biggest in multiple senses, the books are extremely long and there's 14 of them
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@xenon did you know it was inspired by the Ways from the wheel of time series?
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@LexYeen wait is that true? how do epople not see through that?
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@Decimal It's probably still good, we like to not refrigerate it if we plan on eating it in the next day or so--it kinda reheats a bit better in our opinion, though of course it doesn't last as long it still lasts about a day
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@Oneironott from what little we know about metal bands i expect a fair number the answer would be "both"
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@kobi_lacroix @dodec I feel like reality would break or something
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@dodec Round is spiky in 100-dimensional space!
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@dodec separately (but probably relatedly in some way we can't be bothered to figure out), the "volume" of a higher-dimensional sphere shrinks extremely fast--it grows as πⁿ/n! (where n is half the dimension), and the factorial wins out here, as factorials tend to do

so you have a shape that reaches out really far while having a really small volume
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@dodec Consider first, four circles of equal size, on the corners of a square, such that the circles just touch each other. Now consider the size of the largest circle you can fit in the space in the middle, the smaller of the two circles that are tangent to all four other circles. It's pretty small.

Now consider the three-dimensional analog of that, eight spheres on the corners of a cube. The sphere that fits in the middle there (again, the smaller of the two that are tangent to all eight) is still smaller than the other spheres, but its radius is larger than that of the 2d circle.

Now consider the four-dimensional case. It works out that the inner 3-sphere (4-sphere? i always forget if a 4-dimensional sphere is a 3-sphere (for its surface) or a 4-sphere (for its volume)) is actually exactly the same size as the outer ones. So it's also tangent to every side of the hypercube.

In five dimensions, the middle 4-sphere actually doesn't even fit inside the 4-cube, it pokes out the faces! and it only gets bigger from there
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one of our favorite obscure mathematical facts has got to be that higher-dimensional spheres are pointy
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@packbat places people go for socializing shouldn't be monetized in any way
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@packbat why... *would* you get notifications for things you boost?
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@ziphi oh yeah levias, forgot about them
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@sharkNserg *pets between your necks* 💚
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@sharkNserg i'm having trouble parsing this post and also what's google wave?
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@efi this is why we avoid using microcontrollers whenever possible
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@ziphi if you're not counting jabu-jabu, which three? only two come to mind (link's awakening and phantom hourglass)
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High-κ dielectrics are great, but it's a rare case we'd ever want to use anything worse than X5R (usually stick to X7R where possible), and I don't know why Z5U even exists.
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