## Hexagram Setting

Hexagrams can be set in a journal entry either manually or by
semi automated method of generation. Once you have created a new
journal entry or opened an existing one in edit mode, you can
navigate to the hexagram setting area by clicking on the
navigation link. In edit mode two hexagrams are always displayed.
The one on the right represents the result of any changing lines.
In viewing mode the second one is omitted if no lines change. By
default the hexagram of a new journal entry is set to hexagram
number 1 with no changing lines.

### Manual Setting

After you have performed a divination ritual using coins, yarrow sticks or any other method you might prefer, you can enter the results of the oracle into My Ching in two different ways.

#### 1. Mouse Clicking

Once your journal entry is open in edit mode, clicking on any
line of a hexagram flips it's state, yang to yin or yin to yang.
First click on the hexagram lines on the left to set the primary
hexagram, and then if there are any changing lines, click on the
right hand hexagram to set them.

#### 2. Speed Dialing

A faster method is to use the text box to the left of the
hexagrams. Enter the results of your oracle by entering the
numeric values of the coin or yarrow stalk method from the bottom
line up. These numeric codes are as follows:

- Six sets a changing yin line.
- Seven sets a static yang line.
- Eight sets a static yin line.
- Nine set a changing yang line.

### Divination by Mouse

There are two semi-automated ways to generate hexagrams that
still have a high level of human interaction like the traditional
rituals. One method simulates the coin method of divination and
the other the yarrow stalk method. The main difference between the
two methods lies in the mathematical probability of obtaining a
changing line. In the case of the coin method the probability of
getting a changing line is 1 in 4 and this is the same whether the
line is yang or ying. In the case of the yarrow method the
probability of a yang line changing is 3:16 and a ying line is
only 1:16.

To do an automated casting, select the hexagram page in entry
edit mode and click on either of the buttons with representations
of Chinese coins or a bunch of yarrow sticks. The casting starts
by clearing the hexagram area except for the bottom lines of the
both left and right hexagrams. The line will be seen to shimmer in
a state of flux. Clicking on the line 3 times will resolve the
line into either ying or yang. Each click represents either a coin
toss or a division of the yarrow stalks. As you resolve each line
a new one appears above it and so on until your hexagram is
completed. As in the traditional rituals you should contemplate
your question to the oracle while resolving each line in flux.

#### How Mouse Divination Works

The author of My Ching felt it was important to retain the
element of human interaction following the traditional methods.
Before they started using sticks and coins the ancient Chinese
used turtle shells heated in a fire until they cracked. By a
curious twist of fate, computer mice bear some resemblance to
turtle shells and even have cracks in them.

So what is important to understand is that the computer is not
tossing the coins or dividing the yarrow stalks for you using some
algorithm. It is the precise moment you decide to click the mouse
that determines the reading. You can think of it like this:
imagine you have a stop watch accurate to thousandths of a second.
After letting it run for a while, you stop it and look at the fine
seconds count (thousandths). If the number is odd that can be
equated to a coin toss coming up heads, and an even number as
tails. When you start the hexagram casting, an invisible stop
watch is activated inside the My Ching program. Clicking on a
shimmering line stops it randomly on an even or odd number. This
gives you a heads or tails result. Repeating this 3 times
determines the line.

This can also be applied to representing the random division of a
bunch of yarrow stalks. Say the number of stalks in the pile is 29
and the stop watch is showing 501 thousandths of a second. You can
use modulo arithmetic to obtain a random division of the sticks.
Modulo means the remainder of 501 after division by 29 which is 8.
If you assume that you always want at least 1 in the resulting
left pile you add 1 to the result to get the count of the left
pile or 9. The right pile then contains 20. But what happens if
the remainder is 28 and you add 1. There won't be anything in the
right pile. It is better to subtract 1 first and use modulo 28.

For those who understand computer code here is the actual code in
My Ching used to determine the resulting number of yarrow sticks
in the left and right pile.

left_pile_count := 1 + counter_thread.value \\ (sticks_remaining_count - 1) check valid_pile_division: left_pile_count >= 1 and left_pile_count < sticks_remaining_count end stick_pile_count [Left] := left_pile_count stick_pile_count [Right] := sticks_remaining_count - left_pile_count

The "counter_thread.value" variable represents the "stop watch
counter" that is stopped when the user clicks on a line. This
formula ensures there is always at least one stick in the left or
right pile after dividing. You could argue that when dividing a
real bunch of sticks you are generally dividing somewhere close to
the middle so perhaps the formula could be adapted to reflect
this. But mathematically the probabilities come out the same and
in theory there is no reason why you couldn't divide the pile so
only 1 remains in the left or right.

## Advanced Hexagrams

By default *My Ching* only displays the primary and
resulting *(relating)* hexagram in a reading. This is
sufficient for a basic I Ching consultation that will satisfy most
people. However for those who desire a more in-depth reading,
there are a number of auxiliary hexagrams that can be derived from
the basic reading by analyzing the placement of changing lines. *My
Ching* provides the ones described by I Ching scholar Stephen
Karcher in the introduction of his I Ching translation *"Total
Yijing"*.

To activate the advanced hexagram views, goto to application
preferences and check the boxes in the *Advanced Hexagram*
section. Each one checked will be added to the bottom of each
journal entry page.

A description of each advanced hexagram is as follows:

### Steps of change

This is a sequence of hexagrams found by considering each changing line in isolation from the bottommost to the topmost. Each changing line can be considered to form a new hexagram by changing only that line. For example if you change the 2nd line in hexagram 11 you will obtain hexagram 36, and changing the 5th line in isolation will result in hexagram 5.

It is said that the hexagram resulting from each changing line
represents a stage the enquirers situation will pass through. You
may notice that the text associated with the changing line often
echoes the meaning of the hexagram formed.

### Hidden Possibility

This hexagram is derived from the primary hexagram by taking the
trigram formed by lines 3 to 5 and placing it on top of the
trigram formed by lines 2 to 4 *(Counting from the bottom line)*

It has been said of the hidden possibility hexagrams that:*
"They're like a kernel at the heart of the hexagram that might
yet unfurl and become manifest through the situation it
describes."*

### Change Operators

There are two kinds of change operator. The first is called the *Inner
Change Operator *and is said to:* *"describe the *place*
through which Change occurs and it's *inner* trans-formative
aspects. It offers an *inner stance* or strategy towards the
inner world."* -- Karcher*

It is derived from the primary hexagram by putting a yin line in
each line position where change occurs and a yang line in each
static position. It is also referred to as the *Yin* or *Context
change operator.*

The other kind is called the *Outer Change Operator* and
is said to: "describe the *actions* through which Change
occurs and it's *outer* trans-formative aspects. It offers
an *outer stance* or strategy towards the outer world."*
-- Karcher*

It is is derived from the primary hexagram by putting a yang line
in each line position where change occurs and a yin line in each
static position. It is also referred to as the *Yang or Energy
change operator.*

### Symmetrical or Rotational Pairs

In the classic *King Wen* sequential arrangement of the
hexagrams, each hexagram belongs to a pair of hexagrams that are
related by either a rotational or inverse line relationship. These
pairs are said to form *"a subtle interpretative tool, for the
two figures interact as, light and shadow, inspiration and
manifestation, agonist and antagonist."** -- Karcher*

The *rotational pairs* are observed whenever one hexagram
is rotated by 180 degrees to form the other hexagram. However some
hexagrams are perfectly symmetrical between top and bottom so when
rotated you still have the same hexagram. These hexagrams are
instead paired with their inverse opposite found by flipping each
line to it's opposite. These *symmetrical pairs *are said
to "represent zones of radical discontinuity where the stream of
time is disconnected, turned, and re-connected in a different
way."* -- Karcher*