11/22/2007, 09:08 PM

Interestingly, the singularity is repeated at every tetrate of e (0, 1, e, e^e, etc.), and the other singularities are scaled copies of the one at the origin, plus the constant n for the n-th tetrate.

The scaling factor is simple to calculate. The singularity at the n-th tetrate is times bigger than the scaling factor at the (n-1)-th tetrate. This can be seen by considering:

The scaling factor is simple to calculate. The singularity at the n-th tetrate is times bigger than the scaling factor at the (n-1)-th tetrate. This can be seen by considering:

~ Jay Daniel Fox