05/02/2010, 11:29 PM
(This post was last modified: 05/02/2010, 11:58 PM by Base-Acid Tetration.)

(05/02/2010, 09:12 AM)andydude Wrote: As you can see, there are 3 fixed points for base-e, 2 are complex conjugates of each other as in tetration, and 1 is "lower" as you put it. The coefficients I calculated above are calculated with natural/intuitive iteration, so there is not explicit fixedpoint in the calculation.

I think you are mistaken. there's LOTs more

You see these "color wheels that go counterclockwise"? they have to have a zero (a fixed point) in the middle.

In fact, for every one of those red bands in the color graph (of infinite length) there are infinity fixed points in the corresponding "whitish region" (= some region including red band + 1*)'s boundary.

*the region itself and the GRAPH of the region has to be disginguished carefully...

Are these gonna matter?