🚀 go-pugleaf

It seems to me that most of the points on the spike are periodic, but the
windows are very small and the periods are very high.  I say this based on
a hunch from looking at the spike; we've all seen periodic windows but I
don't know of any chaotic windows.  The M-points (M stands for a
mathematician's name that I can't remember), where the orbit is periodic
after a few iterations (-2, -1.543689..., etc.) are (I think) countable, and
are isolated.  It would seem that truly chaotic points may be, also.

Related question:  the Feigenbaum point is at the very tip of the cascade
of 1-period, 2-period, 4-, 8-, 16-, etc., components.  Does this mean that
chaotic points are only found at the tips of such doubling cascades?

Kerry Mitchell