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Universe is finite. For analogy take example of earth :
Is earth's surface finite ?: Yes. But if you keep on walking you will never reach the edge. you will reach the same place ! (does not sound exciting now but believe few 100 yrs ago it was marvellous idea and anti-God)
Point is: In 3D space walking on 2D surface (of some geometry) can make it feel infinite.
Similarly if you go straight in space you will never reach its edge but come back to same point. As space is 4D (may have higher D) and our 3D travels look like infinite.
(Well for that you will have to travel with something like speed of light and many other constrains)
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