Quote:
Originally Posted by freespace
Length contraction is along the direction of travel, so your cross sectional area is the same. The risk of hitting a mote of dust head on is thus the same as if you were travelling at non-relativistic speeds.
Put it another way, you don't avoid collision with an object by accelerating towards it 
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Oops, 90 degrees out of phase, yes, you will get shorter but no thinner! I knew contraction only happened in one direction but got the wrong direction.