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48-ness

lightofdarkness

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48-ness covers the source of nourishment for a hexagram and as such a setting of a foundation. As 27-ness covers the infrastructure, the skeletal form where we just lack content (and so the warning in 27 about a need for quality control on what we take-in), so 48-ness covers the quality of that skeleton determined by nourishment.

Diet will always influence the direction of development, e.g. the presence in the immediate context of fish leads to the development of a fishing industry and associated support structure.

With the 'Well' the focus is on its establishment and the formation of social nature around it. As such, below is the expression of the foundation-setting nature of 48 identified through the XOR-ing of 48 with each hexagram to give us an analogy describing that expression.

Although the material comes from analysis of the binary sequence, I have ordered these in the traditional sequence since that is what most are more familiar with:

The 48-ness of:

01 is described by analogy to the dampened characteristics of 21
02 is described by analogy to the dampened characteristics of 48
03 is described by analogy to the dampened characteristics of 11
04 is described by analogy to the dampened characteristics of 53
05 is described by analogy to the dampened characteristics of 24
06 is described by analogy to the dampened characteristics of 56
07 is described by analogy to the dampened characteristics of 39
08 is described by analogy to the dampened characteristics of 46
09 is described by analogy to the dampened characteristics of 27
10 is described by analogy to the dampened characteristics of 30
11 is described by analogy to the dampened characteristics of 03
12 is described by analogy to the dampened characteristics of 50
13 is described by analogy to the dampened characteristics of 38
14 is described by analogy to the dampened characteristics of 25
15 is described by analogy to the dampened characteristics of 29
16 is described by analogy to the dampened characteristics of 28
17 is described by analogy to the dampened characteristics of 34
18 is described by analogy to the dampened characteristics of 20
19 is described by analogy to the dampened characteristics of 63
20 is described by analogy to the dampened characteristics of 18
21 is described by analogy to the dampened characteristics of 01
22 is described by analogy to the dampened characteristics of 61
23 is described by analogy to the dampened characteristics of 57
24 is described by analogy to the dampened characteristics of 05
25 is described by analogy to the dampened characteristics of 14
26 is described by analogy to the dampened characteristics of 42
27 is described by analogy to the dampened characteristics of 09
28 is described by analogy to the dampened characteristics of 16
29 is described by analogy to the dampened characteristics of 15
30 is described by analogy to the dampened characteristics of 10
31 is described by analogy to the dampened characteristics of 40
32 is described by analogy to the dampened characteristics of 45
33 is described by analogy to the dampened characteristics of 64
34 is described by analogy to the dampened characteristics of 17
35 is described by analogy to the dampened characteristics of 44
36 is described by analogy to the dampened characteristics of 60
37 is described by analogy to the dampened characteristics of 41
38 is described by analogy to the dampened characteristics of 13
39 is described by analogy to the dampened characteristics of 07
40 is described by analogy to the dampened characteristics of 31
41 is described by analogy to the dampened characteristics of 37
42 is described by analogy to the dampened characteristics of 26
43 is described by analogy to the dampened characteristics of 51
44 is described by analogy to the dampened characteristics of 35
45 is described by analogy to the dampened characteristics of 32
46 is described by analogy to the dampened characteristics of 08
47 is described by analogy to the dampened characteristics of 62
48 is described by analogy to the dampened characteristics of 02
49 is described by analogy to the dampened characteristics of 54
50 is described by analogy to the dampened characteristics of 12
51 is described by analogy to the dampened characteristics of 43
52 is described by analogy to the dampened characteristics of 59
53 is described by analogy to the dampened characteristics of 04
54 is described by analogy to the dampened characteristics of 49
55 is described by analogy to the dampened characteristics of 58
56 is described by analogy to the dampened characteristics of 06
57 is described by analogy to the dampened characteristics of 23
58 is described by analogy to the dampened characteristics of 55
59 is described by analogy to the dampened characteristics of 52
60 is described by analogy to the dampened characteristics of 36
61 is described by analogy to the dampened characteristics of 22
62 is described by analogy to the dampened characteristics of 47
63 is described by analogy to the dampened characteristics of 19
64 is described by analogy to the dampened characteristics of 33

Chris.
 
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rosada

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Hi Chris,
Very useful insights about 48 and 27!
I am not following your chart here however. What does XOR-ing stand for? Also I don't get what you mean by, "discribed by analogy to the dampened characteristics..." Could you give a couple of real life examples?

Thanks!
Rosada
 

lightofdarkness

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Rosada,

(1) The creation of hexagrams is done through the application of recursion to yin/yang - IOW self-referencing. After six steps in the recursion you will get the hexagrams ordered from 000000 to 111111. This is called the binary sequence (using the lines we build hexagrams bottom up where each line position represents a level in the recursion. There are two choices per line position - yin or yang - and this will give 64 hexagrams after 6 levels of development (mathematically, 2^6 = 64)

The full binary sequence can be divided into two - the yang and the yim:

YIN sequence:



YANG sequence:




The traditional sequence (Wilhelm et al) is a particular ordering of the hexagrams and as such is 'derived', it is not the 'natural' focus on recursion of yin/yang.

(2) In analysis of the properties of self-referencing we find that the whole is encoded in all parts; all hexagrams contribute to the expression of each hexagram. We can identify that expression using the XOR logic operator (XOR means EXCLUSIVE OR - one or the other but not both)

Thus, not only is 27 a stand-alone representation about infrastructure, about skeletal form, and so about what we take-in to 'fill' that form, but with XOR-ing it with ANY other hexagram we can extract that hexagram's "27-ness".

For example, the 27-ness of hexagram 01 is calculated thus

100001 (27 bottom to top in 1/0 form)
111111 (01)
------ (XOR focuses on the columns. If there is a 0 in one column of the row and a 1 in the same column of the other row then we put a 1 in the result, otherwise a 0.) So XOR-ing 27 with 01 gives:

011110 - This is hex 28. IOW the skeletal form of 01 is described by analogy to 28 - and so we have Excess - 'too much yang' describing the skeletal form of 01.

This XOR-ing is possible for ALL of the hexagrams and is supplied in my interpretations of hexagrams. It is not a property of the IC, it is a property of the method used to create the IC and that method is part of our brain dynamics in the derivation of meaning. (see my website ;-))

Thus the above details starting this thread covers the 48-ness of a hexagram. The analogy is to a hexagram where we dampen the expression, we dont use the full-blown description. E.g. hexagram 23 in its dampened form of description is 'simply' about housekeeping, pruning.

48-ness of 57 is described by analogy to 23. 57 is about cultivation, becoming influencial etc and so a focus on anticipation. This focus gets its nourishment, what keeps it 'going' from qualities represented in 23 - a sense of pruning, of housekeeping.

I think you can see how this focus on pruning/housekeeping sets the foundations for the development of full blown 57.

The 27-ness of 57, its skeletal form prior to adding the 'furniture' etc is described by analogy to:

100001 (27)
011011 (57)
------ XOR
111010 (05)

The basic sense of cultivation/anticipation is in waiting for the 'right' moment. That is the skeletal form that develops into full blown 57.

(the dampened meanings of hex 01 is on simple perseverence, singlemindedness etc we dont get into the full blown expression of the hexagram since in these forms we are making analogies and so "like" X)

EVERY hexagram is describable by this method and so we go a bit beyond the 'traditional' material - we can get the IC to describe itself.

This all applies to HEXAGRAMS as compared to 'hexagrams with changing lines' where we move from hexagrams to dodecagrams (all still under analysis/development).

Chris.
 

philippa

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Hi Chris,

I agree with Rosada: I have a similar issue with your description. I have no problem understanding the use of logical gates. Reading your description of "emotional i-ching" also gives me a vague idea of what you are trying to do. What bugs me a great deal is, why XOR only? Why can't you use other logical gates? If you do, what do they mean?

Here, you relate 27 and 48. I see the relevance metaphorically but making the leap from relating 27 and 48 to your chart is difficult. If your goal is to differentiate "27-ness" and "48-ness", it seems puzzling to seeing only a chart of XOR-ing each hexagram by 48 without a comparison with a similar chart for 27 or even some specific detailed comparison of a smaller number of hexagrams.

What is needed is a higher level of abstraction for everybody. Knowing that there's a connection between two hexagrams via a logical operation doesn't tell me how they are related.

Btw, I do find your approach very interesting. I think the issue is with the language describing your approach. I would very much appreciate if you can try to describe things differently. Using more general terms does not mean you're compromising precision in language use.

Thanks.

Philippa
 

lightofdarkness

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Hi Phillipa, we may have crossed posts so see my reply to Rosada before yours to me... and you are obviously not aware of my website. For the general IDM see:

http://members.iimetro.com.au/~lofting/myweb

For the ICPlus material see:

http://members.iimetro.com.au/~lofting/myweb/newindex.html

For a new, developing ICPlus format see:

http://members.iimetro.com.au/~lofting/IChingPlus

The XOR operator appears to be the brain's way of extracting details from a complex form. IOW we move from AND to XOR (see my page on paradox processing: http://members.iimetro.com.au/~lofting/myweb/paradox.html ... and on wave models of encoding information in general - http://members.iimetro.com.au/~lofting/myweb/wavedicho.html ... and on the IC in particular - http://members.iimetro.com.au/~lofting/myweb/WaveStructure.html and http://members.iimetro.com.au/~lofting/myweb/WaveInterpret.html )

The full charts of XOR-ing are supplied on my website in each hexagram (some has been presented on this list, see the archives) under the 'linepositions' heading in the IC pages (e.g. http://members.iimetro.com.au/~lofting/myweb/lofting/x010110.html has in it a list of all of the other hexagrams being expressed through it)

I am also preparing a particular listing of the XOR material on its own page so one can get a better perspective.

The other operators currently under review are:

COIN
IMP

We can see the AND as summing forms into a complex pattern and this extended into IOR that covers both AND and XOR.

The IDM work focuses on the derivation of meaning by the brain through the self-referencing of the differentiate/integrate dichotomy, known in neurosciences as WHAT/WHERE.

Although people have tried to use XOR before on the IC they had no idea what they were dealing with and so did not ask the 'right' questions. My work comes out of brain dynamics, paradox processing, extracting details from the complex and so XOR/AND. Apply THAT to the hexagrams and all of the details come out - we can use the IC to describe itself.

Chris.
 

lightofdarkness

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To cover some finer details - the TRADITIONAL IC is a 'small world network' where the LOCAL conditions took the 'regular network' of POSSIBLE descriptions of reality and customised them, actualised them into the format we see. There is a lot missing in this customisation and that is what the ICPlus material, derived from IDM, focuses upon - the hexagrams as representing universal qualities derived from what the brain deals with - patterns of differentiating/integrating.

Some diagrams:



 

philippa

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Hi Chris,

I have started reading your ICplus material but more comments later when I read more.

Just one quick comment:

I'm assuming that you are both trying to understand more about IC as well as making this a collaborative effort with people who may or may not have the background knowledge on the techniques that you use. IMO, it is not always a successful effort. For example, a picture of graph transformations as a function of entropy does not help illustrate your point. (I'm sorry---this should not be turned into a discussion on stylistic and rhetorical issues.)

That said, your answer to Rosada's question is relatively more assesible. It seems useful to know that each hexagram is describable by other hexagrams but it is still not entirely clear how we can tie the semantics together. It's a bit like making the leap from understanding the definition of prime and composite numbers to understanding cryptography.

Please keep providing illustrations like what you did with the 27/57/05 example. It seems (to me at least) a step in the right direction.

Philippa
 

lightofdarkness

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Hi Philippa, here is something I have put together for 'general consumption':

The I Ching or "Book of Changes" is an ancient text having its roots in divination but then developing into a fundamental source of Chinese Philosophy and influencing Confucian and Taoist thinking.

The book is made-up of symbols, hexagrams, derived from the recursion of the yin/yang dichotomy and so the whole system is grounded in self-referencing.

If we assign 0 to yin and 1 to yang, we can demonstrate the recursion using bit (Binary DigIT) patterns for each level of recursion. For demonstration purposes we will limit ourselves to three-bit patterns:

0 / 1 (first level of distinction)
00, 01 / 10, 11 (second level)
000, 001, 010, 011 / 100, 101, 110, 111 (third level)

In the I Ching these eight three-bit patterns are 'trigrams' and come with unique qualities for each. Hexagrams are often interpreted as two trigrams, one atop the other, and so from eight trigrams come all of their combinations to give us 64 hezagrams (e.g. 001-100 is hexagram '62'. The trigram of 'mountain' (001) is at the bottom, the trigram for 'thunder', 100, at the top. The numbering of hexagrams does not match their binary forms but the numbers have become 'traditional' and so are retained in most texts despite their inefficiency in use)

A cognitive analysis of the I Ching has shown that the generic qualities represented are isomorphic to qualities derivable from the recursion of the WHAT/WHERE dichotomy, the core dichotomy manifest in the brain as it processes information (this dichotomy is specialist in name and can be generalised to a dichotomy of differentiating/integrating).

In other words the methodology in deriving meaning in the I Ching appears to be the same as that used by the brain in general where the focusing of attention and the oscillations across the WHAT/WHERE dichotomy manifest 'passive' recursion of the WHAT/WHERE dichotomy and so the elicitation of qualities mixing the elements of the dichotomy just as in the I Ching we have the mixing of yin/yang.

Further analysis of the meanings of the hexagrams in the I Ching showed an interesting property, one that appears to be a property of the methodology, I.e. recursion of a dichotomy.

This property is where the WHOLE is encoded in all PARTS. What this means is that for each hexagram we find that all hexagrams contribute to the description of the properties and methods of that hexagram.

This initial discovery stemmed from a casual observation some years ago that if one 'flipped' the top and bottom lines of a hexagram (using bit notation, convert 1 to 0 and 0 to 1) we would get a hexagram that seemed to describe the 'generic' qualities of the hexagram in question. For example, the qualities of hexagram 01, 111111, are all 'yang', the focus is all 'male', all 'light' etc. If we flip the first and last bits we get 011110. This is hexagram 28 and it covers the concept of Excess - IOW, applied to 01, a focus on 'too much yang'; a good description of the infrastructure, the skeletal form, of hexagram 01.

Further investigation showed that this process applied to all hexagrams, flip the top and bottom lines and out popped a hexagram describing the 'raw' or 'skeletal' form of that hexagram. This was obviously a form of analogy where, due to the limit in symbols (64, or 4096 when we include line patterns), combined with the I Ching supposed to describe 'all there is', so symbols represented MANY contexts and as such, in most cases, were sources of analogy in describing reality.

This discovery was worked upon and interpretations made as to how it came about but they were not comforting in nature - they rang more of rationalisations.

My background is in the IT industry and so always aware of programming needs and so familiar with logic operators such as AND and XOR (Exclusive OR).

My interests are in the derivation of meaning by the brain and so I am heavily involved in analysis of brain functions, one of which is in the processing of sensory paradox (for details see my web page http://members.iimetro.com.au/~lofting/myweb/paradox.html )

An observation made whilst reflecting on paradox was the extraction process of 'details' from a complex form; e.g. the cubes of the Necker cube paradox from a 'complex line drawing'. This same form of dynamic is not limited to vision, it also occurs in audition and as such indicated a neurological 'issue' rather than something unique to a sense.

The complex line drawing is an integrated whole and so representative of the AND or IOR logic operator. The Necker cubes represent the extraction from that data of a particular pattern and as such an XOR function in that what is extracted excludes all else. Furthermore, the exclusion elicits the paradox in that we 'see' two different cubes sharing the one space and we deal with that by oscillating between the two cubes - we present one, then the other, and so an EXCLUSIVE OR dynamic.

The 'truth' table of XOR is:

X Y |X XOR Y
0 0 | 0
0 1 | 1
1 0 | 1
1 1 | 0

With this in mind, going back to the I Ching and the flipping of the top and bottom lines, could this extraction of a hexagram serving as analogy to a hexagram's 'raw' form, be an example of XOR, of extracting details from a complex form? (this favours a complex wave form of representation of 'whole' with the application of a particular frequency, the XOR process, extracting particular details)

In a cognitive analysis of the general meanings of the hexagrams I discovered the 'coincidence' that hexagram 27, in the form of 100001, represented in general the basic infrastructure of some 'new' event or structure. It was associated with the sense of being wary about what one takes 'in' to this structure. In other words it came with a warning about the quality of what we furnish the 'skeletal' form, the 'infrastructure' prior to continued development.

This basic quality was apparently the same as that discovered in all of the other hexagrams in flipping the top and bottom lines. Now look again at the bit representation of hexagram 27 - 100001. The only yang lines are 1 and 6. If we take this hexagram and XOR it with all of the others we get the 'raw' or 'skeletal' form of each hexagram by deriving a hexagram that serves as a source of analogy in describing that 'raw' form; IOW we have possibly identified the source of the 'casual observation' but we had to do more work first before any claims could be made.

What followed was extensive analysis of the XOR-ing process involving all hexagrams and through that it can be reasonably said that we have discovered a feature of recursion not clearly identified in the literature on recursion. The feature is that for each row of qualities derived in the process, they are all linked together and the use of bit representations allows us to bring out this linkage using the XOR operator where we can extract the expression of quality A through quality B in the form of description by analogy to quality C. (as mentioned previously, this favours a 'wave' model and a focus on topological dynamics/holographic processes where a unique frequency allows for the extraction of some detail from a complex wave form. The unconscious element at work here re constructs etc is discussed in http://members.iimetro.com.au/~lofting/myweb/wavedicho.html covering our processing of foreground/background information)

For the I Ching this dynamic indicates the acquiring of a hexagram's "spectrum" where its properties and methods are described by reference to all of the other hexagrams that make-up the row of categories when recursing yin/yang to six levels (2^6 = 64).

This feature is NOT a property of the I Ching, the same dynamics have been found in categories of personality types etc (MBTI), it is a property of recursion and as such will apply to anything derived from this method. That includes, for example, the derivation of DNA codons from the recursion of the purine/pyrimidine dichotomy.

What is implicit here is the generation of meaning 'codes' from recursion of dichotomies where the recursion 'down' the page is, in principle, infinite, but in this process form rows of categories across the page where each row is finite.

Each row thus serves as a source of meaning in the form of categories usable to encode/decode and so represent information but in the form of analogies/metaphors where the finite nature of the set of representations means each category is used many times to represent something where the only difference is the local context. IOW we are witnessing here the roots of all languages be they molecular, emotional, or the written/spoken word.

This focus on 'universals' and a local context takes us into the realm of specialisations where the ONE set of categories is used as many times as necessary to represent 'all there is' with the use of re-labelling allowing for the link of universal with local context. In this process each specialisation will create their own lexicon with which to describe their unique context (as has the I Ching, Mathematics, the MBTI etc etc where all have their roots in self-referencing - different labels, same qualities).

Despite all of the apparent differences of each specialisation, they all share the SAME set of core categories and it is this sameness that allows us to use one specialisation to flesh-out details of another - e.g. Mathematics applied to Physics or to Sociology. IOW analogies/metaphors are fundamentals in our derivation and communication of meaning.

The advantage of some specialisations over others is in the representations used (E.g. Mathematics or yin/yang) and in these we can 'see' all others as in all others we can 'see' these.

What is of fundamental interest here is that the XOR dynamic, being a property of self-referencing, applies to all self-referencing models of reality and so showing us 'hidden' meanings encoded into non-linear systems; IOW there is a lot more going on than we have previously imagined.
 

lightofdarkness

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I have fleshed-out the original post by adding more detailed comments for each line:

The 48-ness of:

01 is described by analogy to the dampened characteristics of 21, thus 01 draws its nourishment from the 'well' of 21, with its focus on problem solving
02 is described by analogy to the dampened characteristics of 48, thus 02 draws its nourishment from the 'well' of 48, with its focus on foundation setting
03 is described by analogy to the dampened characteristics of 11, thus 03 draws its nourishment from the 'well' of 11, with its focus on mediating/harmonising
04 is described by analogy to the dampened characteristics of 53, thus 04 draws its nourishment from the 'well' of 53, with its focus on maturing
05 is described by analogy to the dampened characteristics of 24, thus 05 draws its nourishment from the 'well' of 24, with its focus on returning
06 is described by analogy to the dampened characteristics of 56, thus 06 draws its nourishment from the 'well' of 56, with its focus on conditional loyalty
07 is described by analogy to the dampened characteristics of 39, thus 07 draws its nourishment from the 'well' of 39, with its focus on obstructing
08 is described by analogy to the dampened characteristics of 46, thus 08 draws its nourishment from the 'well' of 46, with its focus on increased entanglement
09 is described by analogy to the dampened characteristics of 27, thus 09 draws its nourishment from the 'well' of 27, with its focus on skeletal development
10 is described by analogy to the dampened characteristics of 30, thus 10 draws its nourishment from the 'well' of 30, with its focus on guidance & direction-setting
11 is described by analogy to the dampened characteristics of 03, thus 11 draws its nourishment from the 'well' of 03, with its focus on dealing with difficulties
12 is described by analogy to the dampened characteristics of 50, thus 12 draws its nourishment from the 'well' of 12, with its focus on neutralising (cook faith)
13 is described by analogy to the dampened characteristics of 38, thus 13 draws its nourishment from the 'well' of 38, with its focus on mirroring
14 is described by analogy to the dampened characteristics of 25, thus 14 draws its nourishment from the 'well' of 25, with its focus on disentangling, assert self
15 is described by analogy to the dampened characteristics of 29, thus 15 draws its nourishment from the 'well' of 29, with its focus on containment and control
16 is described by analogy to the dampened characteristics of 28, thus 16 draws its nourishment from the 'well' of 28, with its focus on going beyond the norm
17 is described by analogy to the dampened characteristics of 34, thus 17 draws its nourishment from the 'well' of 34, with its focus on being invigorated
18 is described by analogy to the dampened characteristics of 20, thus 18 draws its nourishment from the 'well' of 20 with its focus on being an example
19 is described by analogy to the dampened characteristics of 63, thus 19 draws its nourishment from the 'well' of 63, with its focus on seeking closure
20 is described by analogy to the dampened characteristics of 18, thus 20 draws its nourishment form the 'well' of 18, with its focus on correcting
21 is described by analogy to the dampened characteristics of 01, thus 21 draws its nourishment from the 'well' of 01, with its focus on singlemindedness
22 is described by analogy to the dampened characteristics of 61, thus 22 draws its nourishment from the 'well' of 61, with its focus on 'inner' softness/yielding
23 is described by analogy to the dampened characteristics of 57, thus 23 draws its nourishment from the 'well' of 57, with its focus on issues of cultivating
24 is described by analogy to the dampened characteristics of 05, thus 24 draws its nourishment from the 'well' of 05, with its focus on the 'right moment' to 'return'
25 is described by analogy to the dampened characteristics of 14, thus 25 draws its nourishment from the 'well' of 14, with its focus on directing from the centre
26 is described by analogy to the dampened characteristics of 42, thus 26 draws its nourishment from the 'well' of 42, with its focus on issues of augmenting
27 is described by analogy to the dampened characteristics of 09, thus 27 draws its nourishment from the 'well' of 09, with its focus on small accumulating
28 is described by analogy to the dampened characteristics of 16, thus 28 draws its nourishment from the 'well' of 16, with its focus on ethusiasm & foresight
29 is described by analogy to the dampened characteristics of 15, thus 29 draws its nourishment from the 'well' of 15, with its focus on levelling, evening-out
30 is described by analogy to the dampened characteristics of 10, thus 30 draws its nourishment from the 'well' of 10, with its focus on a 'correct' path
31 is described by analogy to the dampened characteristics of 40, thus 31 draws its nourishment from the 'well' of 40, with its focus on relaxing structure
32 is described by analogy to the dampened characteristics of 45, thus 32 draws its nourishment from the 'well' of 45, with its focus on congregating
33 is described by analogy to the dampened characteristics of 64, thus 33 draws its nourishment from the 'well' of 64, with its focus on remaining open
34 is described by analogy to the dampened characteristics of 17, thus 34 draws its nourishment from the 'well' of 17, with its focus on following, finding a faith
35 is described by analogy to the dampened characteristics of 44, thus 35 draws its nourishment from the 'well' of 44, with its focus on persuading/seducing
36 is described by analogy to the dampened characteristics of 60, thus 36 draws its nourishment from the 'well' of 60, with its focus on standards, limitations
37 is described by analogy to the dampened characteristics of 41, thus 37 draws its nourishment from the 'well' of 41, with its focus on distillation, concentration
38 is described by analogy to the dampened characteristics of 13, thus 38 draws its nourishment from the 'well' of 13, with its focus on issues of likemindedness
39 is described by analogy to the dampened characteristics of 07, thus 39 draws its nourishment from the 'well' of 07, with its focus on uniformity (army)
40 is described by analogy to the dampened characteristics of 31, thus 40 draws its nourishment from the 'well' of 31, with its focus on enticement (relax structure)
41 is described by analogy to the dampened characteristics of 37, thus 41 draws its nourishment from the 'well' of 37, with its focus on rigid structure, 'family'
42 is described by analogy to the dampened characteristics of 26, thus 42 draws its nourishment from the 'well' of 26, with its focus on issues of holding firm
43 is described by analogy to the dampened characteristics of 05, thus 43 draws its nourishment from the 'well' of 05, with its focus on opportunism, the moment
44 is described by analogy to the dampened characteristics of 35, thus 44 draws its nourishment from the 'well' of 35, with its focus on bringing something into light
45 is described by analogy to the dampened characteristics of 32, thus 45 draws its nourishment from the 'well' of 32, with its focus on commitment
46 is described by analogy to the dampened characteristics of 08, thus 46 draws its nourishment from the 'well' of 08, with its focus on unifying, attracting
47 is described by analogy to the dampened characteristics of 62, thus 47 draws its nourishment from the 'well' of 62, with its focus on tradition maintenance
48 is described by analogy to the dampened characteristics of 02, thus 48 draws its nourishment from the 'well' of 02, with its focus on devotion to others
49 is described by analogy to the dampened characteristics of 54, thus 49 draws its nourishment from the 'well' of 54, with its focus on immaturity, energy release
50 is described by analogy to the dampened characteristics of 12, thus 50 draws its nourishment from the 'well' of 12, with its focus on neutralising
51 is described by analogy to the dampened characteristics of 43, thus 51 draws its nourishment from the 'well' of 43, with its focus on 'spreading the word'
52 is described by analogy to the dampened characteristics of 59, thus 52 draws its nourishment from the 'well' of 59, with its focus on dispelling illusions
53 is described by analogy to the dampened characteristics of 04, thus 53 draws its nourishment from the 'well' of 04, with its focus on masking, socialisation
54 is described by analogy to the dampened characteristics of 49, thus 54 draws its nourishment from the 'well' of 49, with its focus on revelation/revolution
55 is described by analogy to the dampened characteristics of 58, thus 55 draws its nourishment from the 'well' of 58, with its focus on intensity of expression
56 is described by analogy to the dampened characteristics of 06, thus 56 draws its nourishment from the 'well' of 06, with its focus on issues of compromise
57 is described by analogy to the dampened characteristics of 23, thus 57 draws its nourishment from the 'well' of 23, with its focus on pruning
58 is described by analogy to the dampened characteristics of 55, thus 58 draws its nourishment from the 'well' of 55, with its focus on abundance
59 is described by analogy to the dampened characteristics of 52, thus 59 draws its nourishment from the 'well' of 52, with its focus on discernment
60 is described by analogy to the dampened characteristics of 36, thus 60 draws its nourishment from the 'well' of 36, darkening of the light (cover up, limit)
61 is described by analogy to the dampened characteristics of 22, thus 61 draws its nourishment from the 'well' of 22, facading, gloss over, beautify outside
62 is described by analogy to the dampened characteristics of 47, thus 62 draws its nourishment from the 'well' of 47, forced enclosure ('traditions')
63 is described by analogy to the dampened characteristics of 19, thus 63 draws its nourishment from the 'well' of 19, approaching (defering - seek closure)
64 is described by analogy to the dampened characteristics of 33, thus 64 draws its nourishments from the 'well' of 33, with its focus on entice, leave an opening
 

dobro p

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Looking at the focus of each hexagram, some seem to be opposites or complements of each other (like 35 and 36), and some don't (like 27 and 28, or 33 and 34). In your system, is there any necessary connection of meaning between the traditional pairs of hexagrams?
 

lightofdarkness

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The XOR-ing just applies the hexagram to extract its analogy. That said, the traditional sequence does show evidence of recursion in derivation but of a specialist form (01/64 dichotomy as compared to the binary that reflects the recursion of 01/02 dichotomy) - see comments my page http://members.iimetro.com.au/~lofting/myweb/cracked.html where the traditional number pairs are brought out with their meanings focused on the dichotomy of the qualities of 01/64.

The 27/28 relationship is of opposites and they are retained as opposites in the binary sequence.
All the opposite pairs in the traditional retain their opposition in the binary but not next to each other since the qualities covered are different - in the binary the focus is on 27/28 as opposites, in the traditional they reflect '27 is to 28 as 01 is to 64'.

In the matrix pages I touch on the concept of recursing dichotomy pairs to elicit 'logic of relationship' mappings. Thus recurse 23/43 and you get a sequence of 64 hexagrams that can be read as X is to Y as 23 is to 43.

Matrix page:

http://members.iimetro.com.au/~lofting/myweb/icmatrix.html

Chris.
 

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