08/15/2009, 11:02 PM

To demonstrate that there are singularities all along the positive real line, I will show the first three, with lines connecting them to x=1. I will show several more, without exponentiating them, just to give you an idea of where they are. The color scheme is the same as before: blue is the original image, cyan is the first exponentiation, yellow-green is the second, red is the third.

Note that I did the first 100 such singularities, yet they get so close together that the dots just overlap in this graph:

And now a zoomout. Note that, due to the large real part of the yellow line (up to about 16 in places), the red line will be an arc with a radius of several million in places. I could zoom out to show this, but I trust everyone can imagine it.

Note that I did the first 100 such singularities, yet they get so close together that the dots just overlap in this graph:

And now a zoomout. Note that, due to the large real part of the yellow line (up to about 16 in places), the red line will be an arc with a radius of several million in places. I could zoom out to show this, but I trust everyone can imagine it.

~ Jay Daniel Fox