Well, in an infinite universe, no. On the other hand, in a universe that's truly infinite, if you traveled in a straight line long enough, you'd eventually come to a place that was exactly like the place you started from. You would even encounter a copy of yourself. (Similar to how, given an infinite string of random digits, like pi, any arbitrary finite string of digits can be found within it.)
Doh, you beat me to it. Carrying the infinite even further, if you traveled in a straight line you would run into an infinite number of yourselves wearing the same exact clothes. Pretty strange.
Just my two cents on non-euclidian, instead of cirlcing back on yourself, imagine two people walking away at right angles to the equator and meeting at the north pole creating a triangle with two right angles. Always one of my favorite thought excersizes.
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