The group Spin ( 3 ) is isomorphic to the special unitary group SU ( 2 ); it is also diffeomorphic to the unit 3-sphere S < sup > 3 </ sup > and can be understood as the group of unit quaternions ( i. e. those with absolute value 1 ).

The group Spin ( 3 ) is isomorphic to the special unitary group SU ( 2 ); it is also diffeomorphic to the unit 3-sphere S < sup > 3 </ sup > and can be understood as the group of unit quaternions ( i. e. those with absolute value 1 ).

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