Pfsszxt@aol.com wrote: > > On Wed, 25 Jul 2012 04:28:34 +0000 (UTC), Hongyi Zhao > <firstname.lastname@example.org> wrote: > > >Hi all, > > > >What's the geometry meaning of i^i ? Here, i is the imaginary unit. > > > >Regards > > What on earth do you mean by "geometry meaning".
It's not for me to explain what the OP meant, but multiplication by i corresponds to rotation about the origin by a quarter circle. That is clearly geometrical; so it is reasonable to wonder what (if anything) is the geometrical meaning of exponentiation.
> "i" is simply the point (0,1) in the plane!
And the principal value of i^i is about one fifth!!
-- The animated figures stand Adorning every public street And seem to breathe in stone, or Move their marble feet.