According the current Cosmology our Universe is finite and unbounded, even if it is expanding. The visual analogy that is given to explain this is an expanding sphere where the galaxies are dots on it's surface. However, I recall an experiment that tried to test this by measuring the internal angles of a triangle that was of cosmic dimensions. If the sum of these internal angles is greater than 180 degrees then the spherical universe is correct. But to the amazement of the researchers they found the sum to be equal to 180 degrees suggesting that the universe on the whole is "flat" or Euclidean! The question that arises is, "is it possible for the universe to be finite and unbounded and yet be Euclidean?" Given the theory of Big Bang and the expansion of the universe, we have to conclude that it has to be both finite and unbounded at any given moment. Thanks.

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