
Re: What's the geometry meaning of i^i ?
Posted:
Jul 27, 2012 11:40 AM


"Ken S. Tucker" wrote: > > Butch Malahide wrote: > > On Jul 27, 12:22 am, "Ken S. Tucker" <dynam...@rocketmail.com> wrote: > >> Unit length is one solution. (i^i)^4 =1 , 1^(1/4)=1. > > > > What did you mean by "(i^i)^4 =1"? Must be a typo, but a typo for > > what?? > > If memory serves, > (i^i)^2 = i^2i= (1)^i , (1)^2i = 1^i = 1 = (i^i)^4 . > > I assume 1^(anything) = 1. > > Now 1^(1/4) = i^i = 1. > > Hows that?
It's wrong, that's how it is! The principal value of i^i is about 0.2. Generally,
i^i = e^{pi(2n + 1/2)}.
 The animated figures stand Adorning every public street And seem to breathe in stone, or Move their marble feet.

