Kerry, that's incredibly interesting and strongly suggests that it could lead to a paper worth publishing. —Dan ----- If anyone is interested, here is the fractal boundary that I found looking at the Foias' constant iteration using complex numbers. http://www.kerrymitchellart.com/temp/foias-constant.htm Kerry On Fri, Sep 4, 2020 at 11:17 AM Kerry Mitchell <lkmitch@gmail.com> wrote:

If you allow for f(1) < 0 and if I did my analysis correctly, then I see a point similar to George's 1.187452351 at f(1) ~ -0.71774114214285.

Taking this problem as a fractal iteration:

z(n+1) = (1+1/z(n))^n

with z(1) = pixel, then there is a fractal contour connecting the points 1.187452351+0i and -0.71774114214285+0i.

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