Wednesday, 9 August 2017

{The Mandelbrot Set [continued (4)]}[30th December 1987]

[Redbook4:273-274][19871230:0017d]{The Mandelbrot Set [continued (4)]}[30th December 1987]

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19871230.0017
[continued]

It seems (from the photographs in the Economist)* that if a 'circle' is a subsidiary or inferior, so the emphasis on its own subsidiary circles is moved away from the point where it joins its own 'master' or superior circle: the largest of its subsidiary circles is still the 'bottom', but the next largest are are no longer the horizontal cardinals (as on the first 'circle') but the lower diagonal cardinals. In Circle terms, and assuming that each circle joins its superior circle at the inferior circle's +C†I~ point, it is as if we were to say that on the first superior circle the most emphasis after (+C†I~ and) A~ is given to M~ and G~; but on inferior circles it is given to J~ and U~ (or near to them, or to them slightly shifted towards G~ and M~).

The names above assume that the 'cleft' of the 'heart' at the top of the inverted Mandelbrot 'snowman' my be identified with +C†I~, not A~. It must be one of the two. The curves back inwards and the direction of the cleft itself towards the other extreme of the vertical polarity suggest +C†I~ to me – as does the fact that each inferior Circle joins its superior Circle at this point on the inferior Circle.


*[Ref [Redbook4:271-274][19871230:0017]{The Mandelbrot Set}[30th December 1987]]
[See image inserted at [Redbook4:271-274][19871230:0017]{The Mandelbrot Set}[30th December 1987]. (This did not survive posting to Blogger.)]

{See V.[]}




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