Translated Labs

YOU SAID:

every city's got a graveyard

INTO JAPANESE

どの都市にも墓地がある

BACK INTO ENGLISH

every city has a cemetery

INTO JAPANESE

どの都市にも墓地がある

BACK INTO ENGLISH

every city has a cemetery

Equilibrium found!

That didn't even make that much sense in English.

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24Nov21
That means every point whose final rotation is up.
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24Nov21
But take a look at the left piece.
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24Nov21
The down ups cancel because, well, it's the same as going nowhere and we're left with a set of all starting points, the [...]
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24Nov21
And we will be dragging every point's line along with it.
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24Nov21
To make a second copy, let's rotate the up piece down.
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24Nov21
That's the entire sphere.
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24Nov21
Every sequence has two, so there are a countably infinite amount of them.
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24Nov21
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24Nov21
We can just move everything from the up piece that turns into a starting point when rotated down.
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24Nov21
Every sequence has two poles of rotation.
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