Design for a collective and interactive I Ching knowledge
experience
JEAN PIERRE CHARALAMBOS1 and HILARY BARRETT2
Abstract:
The online I Ching system can be understood in terms
of sections and relationships. 'Sections' can be both sections of
text, and also components of the I Ching, which is logically subdivisible
into hexagrams, trigrams and lines. 'Relationships' are mappings from
one hexagram or line to another. The system will provide an I Ching
book, online I Ching consultation with a choice of translations and
interpretations, and (only for registered users) the option of storing
experiences of I Ching divination online and sharing them with other
users. It is suggested that translators adopt a GPL-type press licence,
or they might opt to allow access for registered users only.
Behind the scenes, the new site will be structured
by simple 'I Ching entities' and the relationships between them. The
current design already incorporates a wide range of relationships,
but it is also designed for flexibility: new sections or relationships
suggested (or contributed) by users could be added from time to time.
In this way the shape of the site as well as its contents could evolve
to reflect the character of the underlying community.
Visitors to the site will be able to consult the
I Ching - eventually with a choice of translations. However, the unique
contribution of this project is to allow users to share their I Ching
experiences and interpretations, thus building up an invaluable communal
resource over time. This is in the historic tradition of I Ching commentary
that began with the Wings.
We will also eventually provide a consultation program
to interface directly with the online database, without the need to
be online while consulting. The protocol for this interface will be
made public, giving programmers the opportunity to make this resource
available through their own I Ching programs (subject, of course,
to the users registering at the site).
The following general concepts will be used through out this article.
- 1 to n relationship
- That 1 to n items of class
a could be in relationship with a given item of class b, means that
a relationship between an item of class a and the given item b could
be added or discarded from time to time.
- Description
- A description refers to the purpose of a given field,
not to its specific content.
- Initial content
- Default textual content of a given field. This
content may or may not be present.
- Content
- Initial content should be overwritten by I Ching interpreters.
When it is, the field is simply referred to as ``content''. See
section for a discussion of user roles.
- Commentary
- This is an optional text field that could be associated
with a given ``content'' field to clarify its meaning.
- Initial Resource
- A resource is an object that could be added
to a given item to symbolize its meaning: for example, an image, a
video, a music track, or a visual theme.
- Resource
- As with initial contents, initial resources of a given
type should be overwritten by I Ching interpreters.
Other specific I Ching system definitions will be introduced in other
sections as necessary.
The I Ching system is built up from sections and I Ching entities.
Any section has the following properties:
- A section represents both the usual textual sections of a book,
e.g., an introduction or a prologue, and some specific I Ching sections,
see section for more details.
- There may be 1 to n sections on the system.
- A single section comprises all of the following:
- A name that uniquely identifies it, e.g., prologue.
- A description.
- An initial content.
- 1 to n initial resources.
I Ching entities are only lines, trigrams and hexagrams,
see section . Properties of I Ching entities
are:
- A name that uniquely identifies it.
- 1 to n attributes. See section .
- 1 to n relationships. See section .
- 1 to n initial resources.
The general structure of the I Ching system is depicted in figure
.
Figure:
I Ching structure
|
I Ching Entities
The I Ching can be seen as a set of ideas associated with some
structural entities called hexagrams. A hexagram can be broken
down into two entities called trigrams, which in turn can be
broken down into three single entities called lines. Each entity
may comprise 1 to n attributes and 1 to n relationships.
An attribute is a single aspect that characterises the entity.
A relationship is a mapping from a given entity to another
one (or some others).
A given attribute or relationship comprises all of the following:
- A name that uniquely identifies it.
- A description.
- An initial content.
Important hexagram attributes and relationships are introduced in
section .
The line is the atomic I Ching entity - that is, it is the only entity
that cannot be broken down further. A single line represents duality,
a yin or a yang, and can be in one of two states: stable
or changing. That is, a line can take one of four different forms:
- A yang, represented as: (a black line).
- A yin, represented as: (a black divided line).
- A changing yang, represented as: (a red line).
- A changing ying, represented as: (a red divided line).
A trigram is an entity that represents a quality of elemental energy.
It consistes of three lines. There are two different systems that
represent the set of all the trigrams: the Before Heaven system,
attributed to Fu Hsi and the Later Heaven system, attributed
to King Wen, see figure . Of the two, the latter
is almost the only one referred in today's I Ching literature.
Figure:
Main systems for trigram representation.
|
Some important trigram attributes are: image, quality
and family. See table
Table:
Trigram known attributes.
Trigram |
Name |
Image |
Quality |
Family |
1. |
Ch'ien/ Qian |
Heaven |
Creative |
Father |
2. |
K'un / Kun |
Earth |
Receptive |
Mother |
3. |
Chen / Zhen |
Thunder |
Initiating |
Eldest son |
4. |
Sun / Sun |
Wind or Wood |
Penetrating |
Eldest daughter |
5. |
Li / Li |
Fire |
Clinging |
Middle daughter |
6. |
K'an / Kan |
Water |
Dangerous |
Middle son |
7. |
Tui / Dui |
Lake |
Joyous |
Youngest daughter |
8. |
Ken / Gen |
Mountain |
Still |
Youngest son |
|
The hexagram is the main I Ching entity. It is made up of two trigrams,
referred to as "lower" and "upper".
Hence, six lines comprise a single hexagram. Hexagram lines are ordered
from bottom to top: the bottom line of the hexagram is referred to
as the first line. The structure of the 64 hexagrams is shown in table
.
Table:
Hexagram composition.
Hex. |
L. T. |
U. T. |
1 |
1 |
1 |
2 |
2 |
2 |
3 |
3 |
6 |
4 |
6 |
8 |
5 |
1 |
6 |
6 |
6 |
1 |
7 |
6 |
2 |
8 |
2 |
6 |
9 |
1 |
4 |
10 |
7 |
1 |
11 |
1 |
2 |
12 |
2 |
1 |
13 |
5 |
1 |
14 |
1 |
5 |
15 |
8 |
2 |
16 |
2 |
3 |
17 |
3 |
7 |
18 |
4 |
8 |
19 |
7 |
2 |
20 |
2 |
4 |
21 |
3 |
5 |
22 |
5 |
8 |
23 |
2 |
8 |
24 |
3 |
2 |
25 |
3 |
1 |
26 |
1 |
8 |
27 |
3 |
8 |
28 |
4 |
7 |
29 |
6 |
6 |
30 |
5 |
5 |
31 |
8 |
7 |
32 |
4 |
3 |
Hex. |
L. T. |
U. T. |
33 |
8 |
1 |
34 |
1 |
3 |
35 |
2 |
5 |
36 |
5 |
2 |
37 |
5 |
4 |
38 |
7 |
5 |
39 |
8 |
6 |
40 |
6 |
3 |
41 |
7 |
8 |
42 |
3 |
4 |
43 |
1 |
7 |
44 |
4 |
1 |
45 |
2 |
7 |
46 |
4 |
2 |
47 |
6 |
7 |
48 |
4 |
6 |
49 |
5 |
7 |
50 |
4 |
5 |
51 |
3 |
3 |
52 |
8 |
8 |
53 |
8 |
4 |
54 |
7 |
3 |
55 |
5 |
3 |
56 |
8 |
5 |
57 |
4 |
4 |
58 |
7 |
7 |
59 |
6 |
4 |
60 |
7 |
6 |
61 |
7 |
4 |
62 |
8 |
3 |
63 |
5 |
6 |
64 |
6 |
5 |
|
I Ching names can be taken from Wade Giles or Pinyin.
Known I Ching Sections & Entity
Attributes and Relationships
Among many known sections, attributes and relationships, the most
important are:
- The Image: Ta Hsiang / Daxiang
- Commentary on each line: Hsiao Hsiang / Xiaoxiang
- Commentary on the Judgement: T'uan Chuan / Tuanzhuan
- Great Treatise: Ta Chuan / Dazhuan
- 'Elegant words': Wenyen / Wenyan
- 'Explanation of hexagrams and trigrams': Shuo Kua / Shuogua
The following are the most common hexagram relationships:
- Second hexagram. This is the hexagram obtained from taking
the opposite line of the changing lines present in the first hexagram.
Fig. illustrates the idea: the first hexagram is ``Wei
Chi / Before Completion'' (No. 64), while the second (on the right)
is ``P'i / Standstill'' (No. 12).
- The Hsu Kua / Xugua: Sequence. This is the preceding hexagram.
The explanation of the Sequence begins with Hexagram 3.
- The Contrast (based on the Tsa Kua / Zagua). This is obtained
by turning the hexagram upside down.
- The Shadow. Also referred as complement or opposite.
It is created by turning every line into its opposite. See table .
Table:
Complementary Hexagrams, also known as ``opposite''
and ``shadow''.
Main |
Shadow |
1 |
2 |
3 |
50 |
4 |
49 |
5 |
35 |
6 |
36 |
7 |
13 |
8 |
14 |
9 |
16 |
10 |
15 |
11 |
12 |
17 |
18 |
19 |
33 |
20 |
34 |
21 |
48 |
22 |
47 |
23 |
43 |
Main |
Shadow |
24 |
44 |
25 |
46 |
26 |
45 |
27 |
28 |
29 |
30 |
31 |
41 |
32 |
42 |
37 |
40 |
38 |
39 |
51 |
57 |
52 |
58 |
53 |
54 |
55 |
59 |
56 |
60 |
61 |
62 |
63 |
64 |
|
.
- Nuclear (Mutual Gua): Let the lines of the main hexagram be
numbered from bottom upward: 123,456. The nuclear hexagram is then
formed from the central lines: 234,345. See table .
Table:
Nuclear Hexagrams.
Main |
Nuclear |
1 |
1 |
2 |
2 |
3 |
23 |
4 |
24 |
5 |
38 |
6 |
37 |
7 |
24 |
8 |
23 |
9 |
38 |
10 |
37 |
11 |
54 |
12 |
53 |
13 |
44 |
14 |
43 |
15 |
40 |
16 |
39 |
17 |
53 |
18 |
54 |
19 |
24 |
20 |
23 |
21 |
39 |
22 |
40 |
23 |
2 |
24 |
2 |
25 |
53 |
26 |
54 |
27 |
2 |
28 |
1 |
29 |
27 |
30 |
28 |
31 |
44 |
32 |
43 |
Main |
Nuclear |
33 |
44 |
34 |
43 |
35 |
39 |
36 |
40 |
37 |
64 |
38 |
63 |
39 |
64 |
40 |
63 |
41 |
24 |
42 |
23 |
43 |
1 |
44 |
1 |
45 |
53 |
46 |
54 |
47 |
37 |
48 |
38 |
49 |
44 |
50 |
43 |
51 |
39 |
52 |
40 |
53 |
64 |
54 |
63 |
55 |
28 |
56 |
28 |
57 |
38 |
58 |
37 |
59 |
27 |
60 |
27 |
61 |
27 |
62 |
28 |
63 |
64 |
64 |
63 |
|
- Step of Change (Zhi Gua): When a consultation results in more
than one changing line, the step of change is obtained by changing
each line individually, as if it were the only one.
- The Fan Yao (or paired line): The line of the Zhi Gua in the
same position as the changing line that generated this Zhi Gua. This
can be found directly from the Zhi Gua.
User Functions
Two different scenarios for proper user interaction have been identified:
the I Ching book and the experience.
The book scenario provides users with the means to perform
the following actions:
- Editing I Ching sections and entity attributes and relationships.
- Resource management.
The experience scenario provides users with the means to consult
the I Ching about a particular matter. An experience is made up of
the following (see Fig. ):
- A situation.
- A question.
- The hexagram of the consultation. From the hexagram the user could
select as many interpretations (according to the interpreters available
in the system) as she likes.
- Concluding thoughts.
- 1 to n Other users' experiences.
Figure:
Composition of an I Ching experience.
|
It is worth noting that given a user experience it may be shared in
two ways:
- By associating another users' similar experiences with it.
- By sharing it with other users.
According to the previous identified scenarios it is possible to define
all the different system user roles: administrator, interpreter and
(simply put) user. According to system accessibility, i. e. translators'
press licenses, users could be subdivided in registered and unregistered.
Table shows the minimum conditions that a specific
user role needs to satisfy.
Observe that a specific user may have one or more roles, e. g., a
registered user may want to have write permissions to The Book
or a translator may want to get a registered account to share specific
reading experiences.
- Administrators are responsible for database management, including
the definition of sections, attributes and relationships.
- It is an interpreter or translator's responsibility to define her
press license. The system provides only two possibilities: 1. GPL
like. This is the one suggested. 2. A more restrictive alternative
stating "only registered users have access to whatever I
translate."
- A translator may decide to change from the 2nd alternative to the
GPL'ed t any time. But the reverse is not possible, as the second
alternative is the more restrictive.
- Registered users must have access to all system translations and have
a system account, through which they can create, edit and discard
their own experiences.
- Unregistered users only have access to all system GPL-ed translations
and do not have a system account.
Design for a collective and interactive I Ching knowledge
experience
This document was generated using the
LaTeX2HTML translator Version 2002-2-1 (1.70)
Copyright © 1993, 1994, 1995, 1996,
Nikos Drakos,
Computer Based Learning Unit, University of Leeds.
Copyright © 1997, 1998, 1999,
Ross Moore,
Mathematics Department, Macquarie University, Sydney.
The command line arguments were:
latex2html -split 0 design.tex
The translation was initiated by Jean Pierre Charalambos on 2004-06-01
Footnotes
- ...HARALAMBOS1
- National University of Colombia jpchara@ing.unal.edu.co
- ...ARRETT2
- hilary@onlineClarity.co.uk
Jean Pierre Charalambos
2004-06-01