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Nuclear / Mutual Hexagrams

surnevs

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Couldn't edit #89. See attached file
 

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surnevs

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It may, of course, be a mere coincidence that the core hexagrams in the inner and middle section of the "Core of the Core Mandala" divide the remaining 48 hexagrams into six equal parts when projected into Shao Yungs Circular arrangement of the sixty-four hexagrams... (but: WHAT a coincidence !)
 

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Worth noticing is that it's the same hexagram-pairs of sequence to be seen in both Shao Yungs Circular arrangement and in the "Core-of-the-Core mandala", yet not in the same sequential places or sequential direction:
Shao Yung clockwise from Hex. 1 - the "Core-of-the-Core mandala" (sections A to M) [see attachments]

50,32 - 32,50 (D)
57,48 - 48,57 (C)
18,46 - 46,18 (B)
06,47 - 06,47 (G)
59,29 - 29,59 (M)
04,07 - 07,04 (L)
33,31 - 33,31 (E)
56,62 - 56,62 (F)
52,15 - 15,52 (A)
12,45 - 12,45 (H)
35,16 - 35,16 (J)
20,08 - 20,08 (K)⬆️
03,42 - 42,03 (K)⬇️
51,21 - 21,51 (J)
17,25 - 25,17 (H)
36,22 - 36,22 (A)
55,30 - 30,55 (F)
49,13 - 13,49 (E)
19,41 - 19,41 (L)
60,61 - 60,61 (M)
58,10 - 10,58 (G)
11,26 - 11,26 (B)
05,09 - 05,09 (C)
34,14 - 34,14 (D)
_________________

⬆️⬇️ These two symbols show that Sections (A to M) in the "Core-of-the-Core Mandala" mirror each other from here.

_______________________________________________________________________________________________________

One more remarkable thing to notice: If comparing the upper half (⬆️) with the lower half (⬇️) it will be seen that the sequence of the pairs in respectively Shao Yungs Circular arrangement and the Core-of-the-Core mandala is opposite. Example: Section D in the upper part, 50,32 - 32,50 is reverse, while D in the lower part, 34,14 - 34,14 is following.
And G in the upper part is following, 06,47 - 06,47, while G in the lower part, 58,10 - 10,58, is reversed and so on with the rest of the hexagram pairs.
 

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surnevs

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See also attached pdf

(The numbers in the left vertical column 1 to 7 refer to the categories I - VII explained in #83 )
 

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surnevs

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I think it would be wrong to draw any final conclusions but have found too many coincidences in the Circular sequence of Shao Yung and the patterns found in the "Core-of-the-Core arrangement" to exclude the possibility partly that the "Core-of-the-Core arrangement" could be correct in its structure (as reached so far) and partly in that the circular arrangement of Shao Yung has kind of consideration toward a "Core-of-the-Core arrangement", the latter though too early to suggest. One can only look at the similarities pointed out here above and wonder - for now. Should it happen that failures or other coincidences be found I'll hopefully be able to return here for clarifications.
 

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I have made a short four-and-a-half-minute video to show what it is that I do wonder about concerning some coincidences between my Core-of-the-Core arrangement and the Circular arrangement of the 64 hexagrams made by Shao Yung, HERE.
_________________

Add.: I wrote four-and-a-half-minute but I'm going to expand this video along the way.
The address is: https://svenrus.dk/introduction.mp4
 
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In case some here want to follow my work with the Core-of-the-Core Mandala, the movie project, I've linked up to this in my Profile here on OnlineClarity (Profile postings I think it's called). It is easier for you to find than underneath a stack of important papers :rolleyes: I guess...
 

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Hi surnevs
Is there sound to the video? Only I couldn't hear anything.
 

surnevs

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Hi surnevs
Is there sound to the video? Only I couldn't hear anything.
No, only text. The ideal representation would have been without text, letting the illustrations speak for themselves but I'm not that much of a genii
It's far from finished and I hope I can go on daily with a few additions.
 
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surnevs

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#96 On again, but this project will be ever-changing and adjustments in the representation will occur now and then as long as I can follow the Quest for the right Order.
 

my_key

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Hi surnevs

You look to have made some changes to the presentation which I think made it easier to follow.

Reading it through I had hex 20 come to mind which speaks to the invisible patterns that are traced through the Universe. You place an emphasis on the patterns you see are not symmetrical. From my understanding, the Confucians did like order and structure but a Daoist perspective may be placed more in pattern and spontaneity, and links between nature and the cosmos without so much emphasis on the patterns being symmetrical.

The invisible patterns might well not be symmetrical in this world but contain a deeper definition of sequencing a bit like the patterns of relationship that was found between prime numbers and the vibrations in quartz.
 

surnevs

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These are the two schemes:

11 external patterns 4.3.jpg



11 external patterns 4.5b.jpg

I found, that if eight pairs of hexagrams, pairs like hex. 1 and 2, 63 and 64 shift only back and forth to each other unlike the rest of the hexagrams, are added with the other significant hexagrams, like the waxing&waining, Big trigrams and double trigrams, the symmetry would be established in the last case ie where section E and F has been wrapped around.
Example: When all of the lines change in hex. 1 hex. 2 will appear and vice versa. When all of the lines in hex. 3 change hex. 50 will appear, and hex 49 will appear when all lines in hex 4 change. When all lines change, the eight hexagram pairs that shift into each other are 1&2, 11&12, 17&18, 27&28, 29&30, 53&54, 61&62 and 63&64. Except for these eight pairs, all the other hexagrams behave like hex. 3 and hex 4.
In other words: by adding these eight pairs marked in black as seen above, symmetry will appear.
But I haven't reached that sentence yet.
And, not least: thank you for commenting my_key!
 

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These eight pairs I will call mirroring hexagram pairs:

11 external patterns 3H4.jpg

But do they belong to the other peculiar or significant series of hexagrams, such as the big trigrams, double hexagrams, Waxing and Waning, etc.? (there are probably more peculiar patterns to be discovered, now or in ancient documents)
 

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To get a better overview I have started projecting the movie frame by frame into a PDF
 
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surnevs

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I don't know why I couldn't edit post #104? (For better to be able to locate it on my homepage I've changed the LINK to PDF )
 

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It's hard to explain, but I've reached a point where pattern consistency calls for restraint. I have decided to take a break to avoid getting sidetracked in my further search for logic in this lineup. Notified in case anyone follows my project. (BING translated)
 

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In going on with the project (movie and pdf) I was surprised to see that the binary value for hexagram 10 is 55. It reminded me of a scheme I posted here concerning the Fibonacci series and "the River Lo map".

I Ching and the Fibonaccinumbers.jpg
Attached: converting table, the hexagram numbers and binary numbers between.
 

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Draft. Many remarkable patterns are to be discovered. This draft follows the "First attempt" and in A respectively G [ignore the handwritten letters] is to be observed that the hexagrams 52 and 36 (9 & 40) in A and the hexagrams 6 and 58 (23 & 54) in G have to be swapped around...
 

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surnevs

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This Core-of-the-Core mandala is the one on which I for now feel on safe ground:

coreofthecore_third_attempt_1.jpg

TIFF (1.575 KB)​
 

surnevs

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Thank you my_key for your kind appreciation/attention! Before posting it I had a longer examination of it to be sure that the traditional King Wan sequence numbering was right. In Denmark, we have a word: "The Devil hides in the detail", I don't know if you got it too... but again and again, I found small errors during this process, frustrating and Time wasting as they were, so, therefore... to be sure at least.
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Add.: I'll be fond to know if any error should have found its way into it.

As this project is still a Draft you'll find page numbering being replaced, for example on #109 it's mentioned that the depiction there will be found on page 61. It's now on page 59 (for the moment). Please bear over with me.
 
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surnevs

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coreofthecore_third_attempt_2.jpg
And this counts for the circle round, the outer-, middle- and centre.
Hex. 15 Vs. 10, 52 Vs. 58, 36 Vs. 6 and so on the outer circle round.
Hex. 54 Vs. 53, 38 Vs. 39, 43 Vs. 23 and so on the middle circle round. And finally in the Centre Hex. 1 Vs. 2, 63 Vs. 64





 

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surnevs

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I have added links to my Core-of-the-Core Project, which is attached.

Also, there is a link to a movie I just made: Core-of-the-Core Waxing and Waining
 

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my_key

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The amount of work you have put into this whole project is staggering. Well done!
 

surnevs

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The amount of work you have put into this whole project is staggering. Well done!
Thanks, but this is far from finished and I'm afraid many failures will appear along the way. This last counting of the Waxing and Waning spaces in-between giving 48 hexagrams altogether, I just discovered, is not under the Category normally named Numerology but plain Math. Sometimes patterns occur that look strange and I must confess that I'm not always that awaken to see that they are not strange at all....
 

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With the binary numberings of the hexagrams, following the same path, it goes:

( 0 to 32 = 32, 32 to 48 = 16 etc. ) 32-16-8-4-2-1 and 32-16-8-4-2-1

So, in the light of the binary sequence, the waxing and waning hexagrams follow a smooth path —contrary to their appearance in the King Wen sequence.
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Sorry, it should be: contrary to the counting between the hexagrams in the mandala above (#113)
 

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