<SHARLOCK>Yes it is a special and remarkable subject ... I thought that the
JULIA (unordered) Set tendrils morphed onto the periphery of the
MANDELBROT (ordered) SET.
But, given certain conditions, I can see from this explanation that the reverse may be the case.
Hence in the case of
BEZERK OIL, maybe AuGie
MORPS into
AlGae, or even
e-coli, according to these underlying principles.
Quote:
JULIA SET > MANDDELBROT, when the quadratic) dendrite fractal c = i.
The special case of "i" on the boundary of the Mandelbrot set is called
a dendrite fractal (top left figure), is called Douady's rabbit fractal (top right figure), is called the JUL
The equation for the quadratic Julia set is a conformal mapping, so angles are preserved. Let be the Julia set, then leaves invariant. If a point is on , then all its iterations are on . The transformation has a two-valued inverse. If and is started at 0, then the map is equivalent to the logistic map. The set of all points for which is connected is known as theMandelbrot set.
For a Julia set with , the capacity dimension is
LOGISTIC MAP: The first 100 ITERATIONS of the animations…
The logistic map computed using a graphical procedure (Tabor 1989, p. 217) is known as a web diagram. A web diagram showing the first hundred or so iterations of this procedure and initial value appears on the cover of Packel (1996; left figure) and is animated in the right figure above.
The introduction of "i" (complex equations) into the dynamics of the quadratics bring us head on into
Superstrings and the Symmetry of the waveforms, underlying these processes.
Scientists need the harmonics associated with
The Fine Structure Constant to complete the picture.
Otherwise as is the case with
BEZERK (GOP), they are playing with fire and
it is becoming unstoppable.
P