Monday, 7 August 2017

{The Mandelbrot Set [continued]}[30th December 1987]

[Redbook4:271-272][19871230:0017b]{The Mandelbrot Set [continued]}[30th December 1987]

(29)
19871230.0017
[continued]

There are significant differences.* The point of contact of 'circles' seem to be always at the bottom of the smaller circle, 'sprouting' from whatever point on the larger one. It is as if one were to say that subsidiary 'circles' at (say) G~ and M~ {on the main Circle} all began and ended at (say) {their} +C†I~, i.e. where they join their main 'Circle'. There is a certain logic to this, but it is a new form of gearing.

Or is it similar to the Mantelpiece division of the Tarot into sevens,** in Circle terms? – i.e. starting at A~, then M~, then G~:




[1]



VI




II



V





VII

















III



IV




I







[2]








XIII







XIV





XII



VIII









XI



IX




X







[3]


















XX




XV
XXI
XIX




XVI

XVIII





XVII











The last two might relate to the next smaller 'Circles'. This is pure speculation without knowledge and understanding of the formula.***  Alas, **** no mathematics!

This could be the mathematical basis through which the Union is made Separation. The subsidiary Circles (“infinitely” receding) may be the mathematical (or geometrical) way of representing what I have perceived as concentric Circles. In fact, chronological gearing as I have imagined it can easily (and does) allow a +C†I~ point on a smaller Circle to occur at another point on a larger Circle – see- for example, 'Life Circles'.# The relationships of relative 'sizes' of 'circles' are more complicated in the Mandelbrot snowman, however – and very interesting if applied to the Circles.



*[See last previous entry including inserted image.]

**[Ref presumably [Redbook4:241-244][19871219:1055h]{The Mantelpiece (1)}[19th December 1987]ff;
& presumably [Redbook4:246-249][19871221:0000b]{The Mantelpiece (2)}[21st December 1987] ]

***[=equations?]

****[i.e. presumably: the writer has]

#([[Redbook4:58][19870819(&20):0000]{Life Circles}[19th August 1987],] p58)
(Got it first time, not knowing page number.)

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[continues]


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[ms. diagrams inserted and postedBlogger 21092017]

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