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But don't we already know the curvature? Given that we could calculate the size. Although we don't know it's constant...

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No we don't. We know that it is most likely that it's curved. But we don't know its topology, nor do we know if it's positively or negatively curved.

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Oh, ok then. Too bad, although you could get 3 points and determine the curvature between them of course

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placed at a known distance away, given an amount of time, we could see where the light from the beacon appears after it wraps around the universe and get a rough model of the universe. It's kind of like how the creature could place a known dot on the ball, and watch for where it next appears, and also kind of like how Kinect senses the shapes of ob<x>jects, though with a slightly different principle here.

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Exactly the same and......and what? AND WHAT? D:

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I continued it as a comment.

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It's an interesting idea. I wish we were capable of such things.

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Oh, but in a way, we are. I wish I had my bookmarked page with me to show you. It's very interesting and talks about a potential method for measuring this.

We could theoretically use supernovae, but we would need a huuuuge amount of time to actually calculate the exact shape of the universe.

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Oh, wait, I thought you meant if humankind could physically place those beacons. Space is truly the final frontier.

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That's why I said hypothetical.
And no it isn't. It's the penultimate frontier. The ultimate frontier is the multiverse :D

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That's true. (Also I love it that you used the word 'penultimate'. Hardly anyone uses it anymore, and it's such a good word.)

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