Since the I Ching is a form of language, in that it describes 'all there is', so we realise that it cannot map its 64 hexagrams (or 4096 dodecagrams) to 'all there is' in a 1:1 format - it must predominately use analogy and metaphor to describe 'all there is'.
The finite nature of the I Ching means that as a language so all parts are 'entangled' with all other parts to make-up the whole. In this entanglement, each hexagram will contribute to expressiveness of any other hexagram, and this expressiveness is only describable by analogy to the characteristics of some other hexagram.
The notion of the IC as a language takes us into the concepts of hexagrams representing gerunds - and so the IC is a book of '-ings' where local context collapses the 'ing-ness' into a focus on a thing (noun : A loft) or relationship (verb : TO loft). This focus in ing-ness is brought out in the additional names I have given the hexagrams besides just using the names derived in R. Wilhelm's popular text.
In the Book of Changes we find that we can determine the basic characteristics of a line positions or group of line positions by setting a particular line in a position to yin and all others to yang and visa versa.
What this does is give us two semantic poles of a line position(s). For example, the base position in a hexagram is interpreted as a beginning, a start. When we take the hexagram structure and make all lines yin other than the base line we have hexagram 24. When we do this by making all lines yang other than the base line we get hexagram 44.
What this 'says' is that the base line is 'ruled' by a semantic influence found in the hexagram 44/24 pair. These hexagrams deal with transitions, 44 with persuasion, seduction and so an attraction to the 'dark' side (distractions caused by OTHERS), and 24 with SELF-distractions and an attraction to the 'light' side and a developing 'true' path.
We also find a duality in meanings derived in the above manner. For example. for hexagram 01, pure yang, hexagram 28 describes by analogy the raw context from which hexagram 01 emerged, i.e. 'too much yang, excess'. At the other end of the scale hexagram 28 also describes by analogy going beyond the peak of hexagram 01, the ability to Transcend - to go beyond, to exceed.
To detect the positive, explicit, BASE qualities of line positions,
just use hexagram 02 as the template, the container of POTENTIALS and
make each line ‘yang’ and so derive an ACTUAL. For example, we have the
top line as yang associated with 23 and reflecting the high priest, -
mapping the top line, IN GENERAL, to the ‘sage’.
The fifth line as yang gives us hexagram 08 – the focus on unifying but
in a ‘passive’ format – this is the action of the king in that people
come to the court rather than the court going out to them.
The fourth line as yang give us hexagram 16 – the focus on being a planner,
an ‘enthusiast’ for someone/something; as reflected in the actions of
a minister ‘close to’ the king.
The third line as yang gives us hexagram 15 – the focus on the leveller,
keeping things close to the words, no exaggerations, no highs, no lows,
just the ‘facts’. Note here that, although we are being ‘modest’, we have
the power to enforce modesty, the power to ‘level’, to ‘even things out’,
and as such reflect line 3 as a position of some ‘authority’ ;-)
The second line gives us hexagram 07 – a focus on establishing uniformity
(and so a link to 08 and line 5)
The first line gives us hexagram 24 – a focus on ‘coming back to’, and
so ‘entering’ or ‘beginning’ a journey.
IOW, going through hexagram 02, where all is ‘passive’, and then exaggerating
each line, gives you the general quality of that line throughout the IC.
Formally, each line, or combination of, is a representation of,
or a set of, qualities. The representation is created by the use of recursion
of yin/yang to create a hexagram. Thus each line represents a quality
extracted from powers of 2. Look at it as exponentiation reflecting the
application of yin/yang to a moment, with each moment embedded in a context
set by the previous.
Six lines of yin/yang reflect 26 possible expressions, where
26 = 64. In this building we move from general to particular,
from worker to sage, or so the 'tradition' goes - this is but half the
story if you include a focus on going 'down' once you are at the top.
The line POSITIONS form into representations of these 64 qualities - they
reflect the SAME process in deriving the hexagrams as wholes, where pure
potential is in 000000 and actualisation is in 'filling' the slots - and
there are 63 possible ways to fill the slots of 000000, giving us in total
64 hexagrams. Zoom-in to a single hexagram and the SAME principle applies,
there are 64 line positions to group (regardless of their content).
In the octet material there is reference to such terms as 'skeletal form' and '27-ness' of a hexagram. These references are to the application of the XOR-operator to EACH hexagram to derive more details of its PARTS nature - and so more details on STRUCTURE.
Due to the manner in which the I Ching is represented, as fixed or broken lines or as 'bit' sequences of 0s and 1s, so we are able to extract finer details of a hexagram, what contributes to its overall meaning.
Due to the manner in which the structures of the I Ching are formed, so each hexagram is in fact made-up of its own nature plus the input of all of the other hexagrams. As such, we can consider each hexagram and coming with a 'genetic code' sequence, or its 'spectrum', made up of the expressions of other hexagrams THROUGH the particular hexagram under consideration.
What is reflected here is the influence of CONTEXT on the expression of some ARCHETYPE through that context.
For example, we find that the nature of hexagram 27 is in the skeletal form of 'something' and the focus on being discerning about how we add 'meat and muscle' to that skeleton. Thus, through using the XOR operator to apply 27 to any other hexagram we will bring out the skeletal form of that hexagram. For example, we apply 27 XOR 01 we will get, by analogy to another hexagram, the description of 01s skeletal form, and we find it is in hexagram 28; hexagram 28 covers the focus on 'excess' such that the focus here is on 01s skeletal form being described as 'too much yang'. (given this skeletal form, we can exaggerate it to reflect its fullest form, here captured in hexagram 28s focus on excess in the form of going the extra distance, going beyond what is normally required)
We can in fact do this sort of 'extraction' to ALL hexagrams where we can obtain for each hexagram as sequence of 64 hexagrams describing the expression of all of the archetypes THROUGH each hexagram serving as a description of context - IOW we extract a hexagram's spectrum.
The XOR operator works where, given x and y as line values (0 = yin, 1 = yang) we create a third representation based on rules derived from this 'truth' table:
|
X |
Y |
X XOR Y |
|
0 |
0 |
0 |
|
0 |
1 |
1 |
|
1 |
0 |
1 |
|
1 |
1 |
0 |
Thus, XOR-ing hexagram 27 with hexagram 01 gives us hexagram 28:
|
Hexagram 27 |
Hexagram 01 |
27 XOR 01 = Result - Hexagram 28 |
|
(line 6) 1 |
1 |
0 |
|
(line 5) 0 |
1 |
1 |
|
(line 4) 0 |
1 |
1 |
|
(line 3) 0 |
1 |
1 |
|
(line 2) 0 |
1 |
1 |
|
(line 1) 1 |
1 |
0 |
Put ANY hexagram in the first column and the XOR process will describe, by reference to some other hexagram, the expression of that first hexagram 'through' the middle hexagram - and so an expression of a part. - and so the 27-ness of 01 is described by analogy to the generic qualities of hexagram 28. This information is given in the second page for each hexagram
When we XOR the controlling hexagram with a particular hexagram as context, the one we are analysing, we get a description of the controlling-hexagram's expression THROUGH this hexagram - it is like genetics where the gene for eye colour, and so genotype, is expressed in a context (hexagram) as phenotype. What this allows us to do is see 'inside' a hexagram - what makes it 'tick' - just as our genetic code make us 'tick'.
The examples of first lot of associations given below are applied in each hexagram page 2 in ICPlus. The second and third lot of associations cover the expressions of a hexagram in all others, both in its 'inside', genetic code, format, and in its 'temporal' format (AND nature as compared to XOR nature).
Line1 [01] (24) : How did this hexagram 'start', express 'beginning'?
Line 2 [02] (07) : How does this hexagram express uniformity, establishment of?
Lines 1&2 [03] (19) : How does this hexagram express approaching the 'high'; defer to the 'low'?
Line 3 [04] (15) : How does this hexagram level things out, focus on fairness, express 'modesty'?
Lines 1&3 [05] (36) : How does this hexagram protect its 'light'?
Lines 2&3 [06] (46) : How does this hexagram become more entangled with something/someone?
Lines 1&2&3 [07] (11) : How does this hexagram balance/harmonise, mediate?
Line 4 [08] (16) : How does this hexagram express foresight/planning?
Lines 1&4 [09] (51) : How does this hexagram express surprise, enlightenment, shock?
Lines 2&4 [10] (40) : How does this hexagram express tension release through relaxing structure?
Lines 1&2&4 [11] (54) : How does this hexagram expend early energy, imaturity?
Lines 3&4 [12] (62) : How does this hexagram express overacting to establish unconditional loyalty?
Lines 1&3&4 [13] (55) : How does this hexagram deal with abundance/overflowing?
Lines 2&3&4 [14] (32) : How does this hexagram express commitment?
Lines 1&2&3&4 [15] (34) : How does this hexagram actively invigorate others?
Line 5 [16] (08) : How does this hexagram passively attract?
Lines 1&5 [17] (03) : How does this hexagram 'sprout'?
Lines 2&5 [18] (29) : How does this hexagram assert containment/control?
Lines 1&2&5 [19] (60) : How does this hexagram standardise?
Lines 3&5 [20] (39) : How does this hexagram obstruct, go against, stand up to, the flow?
Lines 1&3&5 [21] (63) : How does this hexagram complete, 'get it right'?
Lines 2&3&5 [22] (48) : Where does this hexagram get its nutrition, what sustains it, keeps it going?
Lines 1&2&3&5 [23] (05) : How does this hexagram wait for opportunity to come?
Lines 4&5 [24] (45) : How does this hexagram celebrate its 'faith'?
Lines 1&4&5 [25] (17) : How does this hexagram find a faith? What is its faith?
Lines 2&4&5 [26] (47) : How does this hexagram integrate with the context, be it by choice or otherwise?
Lines 1&2&4&5 [27] (58) : How does this hexagram express itself intensely, self-reflect?
Lines 3&4&5 [28] (31) : How does this hexagram 'woo', express restrained enticement ?
Lines 1&3&4&5 [29] (49) : How does this hexagram reveal, unmask?
Lines 2&3&4&5 [30] (28) : How does this hexagram express excess, go beyond what is required?
Lines 1&2&3&4&5 [31] (43) : How does this hexagram 'seed', spread the word?
Line 6 [32] (23) : How does this hexagram 'housekeep', clear chaff to bring out the wheat?
Lines 1&6 [33] (27) : What is the basic, skelatal form of this hexagram, the clay used to structure it?
Lines 2&6 [34] (04) : How does this hexagram learn social skills?
Lines 1&2&6 [35] (41) : How does this hexagram achieve clarity, concentration, distillation?
Lines 3&6 [36] (52) : How does this hexagram express blocking, discernment?
Lines 1&3&6 [37] (22) : What does this hexagram look like, how does it present itself to the outside?
Lines 2&3&6 [38] (18) : How does this hexagram correct corruption, express that correction?
Lines 1&2&3&6 [39] (26) : How does this hexagram express 'holding firm' to traditions?
Lines 4&6 [40] (35) : How does this hexagram bring something into the 'light'?
Lines 1&4&6 [41] (21) : How does this hexagram resolve problems?
Lines 2&4&6 [42] (64) : How does this hexagram remain 'open', mis-sequence?
Lines 1&2&4&6 [43] (38) : How does this hexagram 'mirror', deal with opposition?
Lines 3&4&6 [44] (56) : How does this hexagram demonstrate conditional loyalty; loyalty at a distance?
Lines 1&3&4&6 [45] (30) : How does this hexagram express guidance/direction setting?
Lines 2&3&4&6 [46] (50) : How does this hexagram express conversion of the raw to the cooked, transformation?
Lines 1&2&3&4&6 [47] (14) : How does this hexagram manage from the centre?
Lines 5&6 [48] (20) : How does this hexagram elicit admiration and so invigorate others passively?
Lines 1&5&6 [49] (42) : How does this hexagram reflect augmentation?
Lines 2&5&6 [50] (59) : How does this hexagram make things clear, dispell illusions?
Lines 1&2&5&6 [51] (61) : How does this hexagram express empathy?
Lines 3&5&6 [52] (53) : How does this hexagram express gradual development, maturity?
Lines 1&3&5&6 [53] (37) : How does this hexagram reflect rigid structure as tension release?
Lines 2&3&5&6 [54] (57) : How does this hexagram cultivate and become influencial?
Lines 1&2&3&5&6 [55] (09) : How does this hexagram express making small gains to be noticed?
Lines 4&5&6 [56] (12) : How does this hexagram neutralise attacks on its core beliefs?
Lines 1&4&5&6 [57] (25) : How does this hexagram stand up to say its piece without considering consequences?
Lines 2&4&5&6 [58] (06) : How does this hexagram compromise, meet half way?
Lines 1&2&4&5&6 [59] (10) : How does this hexagram traverse a path carefully?
Lines 3&4&5&6 [60] (33) : How does this hexagram draw-in its enemies, competitively entice?
Lines 1&3&4&5&6 [61] (13) : How does this hexagram express association with the likeminded?
Lines 2&3&4&5&6 [62] (44) : How does this hexagram persuade/seduce?
Lines 1&2&3&4&5&6 [63] (01) : How does this hexagram express singlemindedness, competitiveness? (More so a focus on total actualisation where, due to the PAIR nature, we move focus into the 'opposite' that is needed to reflect the whole that is the pair)
The above focus also represents the HEAVEN=>MAN=>EARTH dynamic
were the LOCAL context is MAN, the UNIVERSAL context is the archetypes,
and the RESULT is EARTH.
The stimulus=> response of an expressed archetype is a response of itself.
Stimulus->context->response ‘colours’ the archetype with local conditions
to give the ‘preferred’ response, the expression, as the ‘best fit’ to
the situation.
Asking generic questions, or tossing coins if you need to, gives us the
LOCAL context, the MAN position. The changing lines in that hexagram give
us an indication of the CONTEXT that is pushing – we thus work backwards
deriving a hexagram out of the template of all yin lines (02) and THEN
‘yanging’ those lines that are changing in the MAN hexagram.