How can this happen if each
twin sees the other twin's processes running slow? The answer:
one twin changes from his original moving inertial frame to
another, totally different one (to make the return trip), which
destroys the symmetry between the processes that would otherwise
exist. The travelling twin is younger than the stay-behind twin
when their frames coincide again.
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)
In a practical case, the
travelling twin has to change inertial frames three times... to
take off, to turn around, and to land again. The other twin is
always in the same inertial frame.
Wikipedia Entry, Highly Detailed
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