; June 25, 1997: Skimming the Thing 
;
; skimming
;
; Fractal visionaries:
;
; Sometimes it pays to step back and look at something from a new angle.
; That is what I did with one of the least interesting places of the
; entire Mandelbrot set.  The place in question is the point where the
; stem of the north bud splits into two.  I have followed this Y-shaped
; feature to a magnitude of 1e030, and can report that it looks the same
; regardless of how deep one goes.
;
; But there is something strange about the splitting point of the north
; stem.  A number of years ago, I drew the Julia set of this 3-armed
; object and to my surprise, noticed that the Julia set has six arms.
; This led me to think: if the Julia set of this point has six arms and
; the Mandelbrot set has only three arms, what does the point look like in
; the other four directions.  When I finally checked it a few days ago I
; was surprised indeed.  The other slices have an infinity of arms!
;
; The point, which in the Mandelbrot set is a simple fork and in the Julia
; set a six-pointed star, has riches beyond belief in some of the other
; planes.  Today's fractal, node, is a picture of the simple north bud
; fork sliced in the YW direction.
;
; I might add that there is no actual single point where all the branches
; of this amazing four-dimensional network of barbed wire filaments come
; together.  Rather, the entire area of the Julibrot figure is filled with
; an infinitely intricate jumble of threads and crosses, stretched and
; pulled in every possible direction.  What at first appeared so dull
; turns out to be full of interest.
;
; The finished image is posted to a.b.p.f. and a.f.p.  I have even more
; Mandelbrot surprises in store for tomorrow.
;
; Jim Muth
; jamth@mindspring.com
;
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