Subject: Why does and electron have 1/2 spin???

     I was recently reading Stephen Hawkings book a brief history of time 
(for referance pg. 69) and found that an electron had a 1/2 spin.  I think 
that I understand what a 1/2 spin is (it is where you must spin the 
electron around twice to get it to look the same) but correct me if my 
understanding is flawed.The only thing that puzzles me is that the whole 
concept of having to spin something around twice seems so bizzare to me!  
If you could explain to me why the electron must be spun around twice to 
have it look the same I would be very thankful.

Re: Why does and electron have 1/2 spin???