Are the points of w^z two intersecting equiangular spirals?
- From: Dark Motion <jmc8197@xxxxxxxxxxxx>
- Date: Sun, 07 Oct 2007 08:04:08 -0700
Penrose in his book Road to Reality says that If w and z are both
complex numbers,
then w^z = e^(zlog w) = e^(z(r + i(theta + 2n*pi)))
so that any choice of w^z can be multipled or divided by e^(i2*n*pi).
He then says that the values of w^z are the intersection of two equi-
angular spirals.
Can someone please explain how this is true?
Thanks.
.
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