What shape would the arcade classic Asteroids' universe be?

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Blue_Jaunte
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I heard this puzzle on the MathFactor podcast (which I highly recommend).

If you don't know what Asteroids is (somehow), here's a youtube video:

If you fly off the right side, you reappear on the left side, and vice versa. If you fly past through the bottom, you reappear at the top, and vice versa.

So, if this were a Universe, what would the shape be?
a. A sphere
b. A torus
c. A cylinder

I made a pictorial solution which I'll post after a few people have responded.
 
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on Phys.org
Correct.
 
Borek said:
Obviously my answer was too clever and has been wasted.

Ha ha. Right over my head.