Hexagram Guide

The Three-Coin Method & Hexagram Interpretation

1. How to Cast a Hexagram

This site uses the Three-Coin Method for divination, the most common approach in Wen Wang (King Wen) hexagram casting:

  1. Calm your mind and focus on the question you wish to ask
  2. Click "Start Tossing" to simulate tossing three coins simultaneously
  3. Each toss produces one line (yáo); six tosses are needed, arranged from bottom to top
  4. Once all six lines are complete, the system automatically forms the hexagram
  5. Choose a master interpreter to receive a full reading of the primary, transformed, and mutual hexagrams

The key to divination lies in sincerity. Before casting, take a moment to calm your mind and clearly focus on your question. You should not repeatedly divine the same matter — the first result stands.

2. Coin Toss Results

Each coin has a heads side (character side, value 3) and a tails side (flower side, value 2). Three coins are tossed together; the sum determines the nature of that line:

6
Old Yin ⚋✦Changing

All three tails (2+2+2=6). A yin line at its extreme — about to transform into yang. Probability: 1/8.

7
Young Yang ⚊Static

Two tails, one heads (2+2+3=7). A yang line with stable energy. Probability: 3/8.

8
Young Yin ⚋Static

Two heads, one tails (3+3+2=8). A yin line with stable energy. Probability: 3/8.

9
Old Yang ⚊✦Changing

All three heads (3+3+3=9). A yang line at its extreme — about to transform into yin. Probability: 1/8.

3. Yin & Yang Lines

Lines (yáo) are the building blocks of hexagrams. There are two types: yang lines and yin lines:

Yang ⚊

Solid line

Yin ⚋

Broken line

Yang lines symbolise strength, initiative, brightness, and activity. They correspond to values 7 (young yang) or 9 (old yang).

Yin lines symbolise gentleness, receptivity, stillness, and passivity. They correspond to values 8 (young yin) or 6 (old yin).

Yin and yang are not opposites — they are interdependent and in constant flux. The core idea of the I Ching is: when yang reaches its peak, yin is born; when yin reaches its peak, yang is born — this is why "old yang" and "old yin" undergo transformation.

4. Line Positions

Each hexagram consists of six lines, arranged from bottom to top. Each position carries a specific name and meaning:

TopThe outcome, the final state of the matter
5thThe seat of honour — the leader, the decision-maker
4thThe minister's seat — the advisor, the supporter
3rdThe boundary between inner and outer — a turning point
2ndThe centre of the inner trigram — a stable position
1stThe beginning, the seed stage of the matter

The bottom three lines (1st, 2nd, 3rd) form the inner trigram (lower trigram), representing the self, the internal, and the root of the matter. The top three lines (4th, 5th, top) form the outer trigram (upper trigram), representing the external, others, and the development of the matter.

5. The Eight Trigrams — Origin of All Things

The eight trigrams are the fundamental symbols of the I Ching, each composed of three lines, representing eight natural phenomena. Two trigrams stacked together form one of the 64 hexagrams.

Qián
Represents: Heaven

Strength, creativity, initiative

Kūn
Represents: Earth

Receptivity, nurturing, endurance

Kǎn
Represents: Water

Danger, wisdom, constant flow

Represents: Fire

Radiance, clarity, culture

Zhèn
Represents: Thunder

Movement, arousal, initiative

Xùn
Represents: Wind

Gentleness, penetration, pervasiveness

Gèn
Represents: Mountain

Stillness, restraint, knowing when to stop

Duì
Represents: Lake

Joy, communication, harmony

6. Composition of the 64 Hexagrams

The 64 hexagrams are formed by stacking two trigrams: the top three lines form the upper trigram (outer), and the bottom three lines form the lower trigram (inner) — 8 × 8 = 64 combinations.

Each hexagram has a name, a hexagram statement (overall meaning), and six line statements (specific guidance for each line). Here are some examples illustrating hexagram structure:

▸ Pure Hexagrams — a trigram doubled upon itself

Qián (Heaven over Heaven) — Hexagram 1

Kūn (Earth over Earth) — Hexagram 2

Qián (Heaven over Heaven) — Hexagram 1

Hexagram statement: "Sublime success. Perseverance furthers."

Image: "Heaven moves with vigour. The superior man makes himself strong and untiring."

All six lines are yang, symbolising Heaven's vigorous motion. Qián represents creativity, leadership, and unyielding perseverance. Its six line statements use the dragon as a recurring image — from "a hidden dragon, do not act" to "a flying dragon in the heavens" — depicting the full journey from preparation to greatness.

Kūn (Earth over Earth) — Hexagram 2

Hexagram statement: "Sublime success. The perseverance of a mare furthers."

Image: "The earth's condition is receptive devotion. The superior man supports all things with great virtue."

All six lines are yin, symbolising Earth's gentle support. Kūn represents receptivity, adaptability, and profound virtue. Using the mare as a metaphor — possessing both the power to act and the wisdom to follow — it embodies qualities essential for achieving great things.

▸ Inverse Hexagrams — flipped upside down, entirely different meanings

Tài (Earth over Heaven) — Hexagram 11

Pǐ (Heaven over Earth) — Hexagram 12

Tài (Earth over Heaven) — Hexagram 11

Hexagram statement: "The small departs, the great approaches. Good fortune. Success."

Image: "Heaven and earth unite: Peace. The ruler shapes the way of heaven and earth."

Kūn (earth) above, Qián (heaven) below. Heaven's energy descends, earth's energy rises — the two meet and all things flourish. This symbolises smooth progress and harmonious unity — a greatly auspicious sign.

Pǐ (Heaven over Earth) — Hexagram 12

Hexagram statement: "Standstill. Evil people do not further the perseverance of the superior man."

Image: "Heaven and earth do not unite: Standstill. The superior man withdraws into his inner worth to avoid difficulties."

Qián (heaven) above, Kūn (earth) below. Heaven's energy rises, earth's energy sinks — the two do not meet, and all things stagnate. This symbolises obstruction and stagnation — a time to lay low and await the turning of fortune.

▸ The Final Two — the last hexagrams of the 64

既濟

Jì Jì (Water over Fire) — Hexagram 63

未濟

Wèi Jì (Fire over Water) — Hexagram 64

Jì Jì (Water over Fire) — Hexagram 63

Hexagram statement: "Success in small matters. Perseverance furthers. Good fortune at the beginning, disorder at the end."

Image: "Water over fire: Completion. The superior man reflects on misfortune and arms himself against it."

All six lines are in their 'correct' positions (yang in odd places, yin in even places) — the most 'perfect' arrangement. Yet 'good fortune at the beginning, disorder at the end' warns that things reverse at their extreme — the moment of completion is precisely when vigilance is needed.

Wèi Jì (Fire over Water) — Hexagram 64

Hexagram statement: "Success. The little fox has almost crossed the stream, but gets its tail wet. Nothing that would further."

Image: "Fire over water: Before Completion. The superior man carefully distinguishes things and places them where they belong."

All six lines are in 'incorrect' positions — seemingly chaotic, yet full of infinite possibility. The I Ching ends with "Before Completion" to convey that all things in heaven and earth are forever in a state of change — every ending is a new beginning.

7. Primary · Transformed · Mutual Hexagrams

Each divination produces up to three hexagrams, each representing a different aspect:

Primary Hexagram (Zhēn Guà)

The hexagram obtained directly from the six coin tosses, representing the current situation. It is the starting point of the entire reading, reflecting the objective circumstances at the time of divination.

Transformed Hexagram (Zhī Guà)

Formed by flipping all changing lines (old yin → yang, old yang → yin), representing the direction and final outcome. If there are no changing lines, there is no transformed hexagram — indicating a stable situation with no major changes in the near term.

Mutual Hexagram (Hù Guà)

Formed by taking the 2nd through 4th lines as the lower trigram and the 3rd through 5th lines as the upper trigram. It represents the underlying process and hidden factors — if the primary hexagram is the 'surface', the mutual hexagram is the 'depth'.

8. Changing & Static Lines

Changing lines are the key to interpretation. They mark the positions in a hexagram where transformation is occurring, and are the main focus of the interpreter's reading.

Old Yang

Yang → becoming Yin

Old Yin

Yin → becoming Yang

Changing lines (old yin, old yang) represent positions where energy has reached its extreme and is about to transform. They are highlighted with special colours in the hexagram, and their line statements often contain the most direct guidance.

Static lines (young yang, young yin) represent positions with stable, unchanging energy. They form the 'background' of the hexagram and provide overall context.

The number of changing lines affects the method of interpretation:

  1. No changing lines — read only the primary hexagram statement; the situation is stable
  2. One changing line — focus on that line's statement; the guidance is most specific
  3. Two to three changing lines — synthesise the statements of all changing lines
  4. Four or more changing lines — the transformed hexagram takes priority, with the primary as supplement
  5. All six lines changing — for Qián use the "all nines" text; for Kūn use the "all sixes" text; otherwise read the transformed hexagram

9. Divination Example

Suppose the results of six coin tosses are: 7, 8, 7, 6, 9, 8

Arranged from bottom to top:

Top
Young Yin ⚋
5th
Old Yang ⚊✦
4th
Old Yin ⚋✦
3rd
Young Yang ⚊
2nd
Young Yin ⚋
1st
Young Yang ⚊

The binary from 1st to top line is 101001 (yang=1, yin=0), which corresponds to Hexagram 37: Wind over Fire — The Family (Jiā Rén).

The 4th line (old yin) flips to yang, the 5th line (old yang) flips to yin. The transformed binary is 101110, giving Hexagram 61: Wind over Lake — Inner Truth (Zhōng Fú).

The mutual hexagram takes the 2nd–4th lines (010) as the lower trigram and the 3rd–5th lines (001) as the upper trigram, giving Hexagram 4: Mountain over Water — Youthful Folly (Méng).

The interpreter synthesises the hexagram statements, the changing line statements, and the querent's question to provide a comprehensive reading and guidance.

10. Glossary

Hexagram (Guà)
A symbol composed of six lines. There are 64 in total, each with unique symbolic meanings and guidance on fortune.
Line (Yáo)
The basic strokes that make up a hexagram: yang lines (solid ⚊) and yin lines (broken ⚋). Each hexagram has six.
Eight Trigrams (Bā Guà)
Qián, Kūn, Kǎn, Lí, Zhèn, Xùn, Gèn, Duì — fundamental three-line symbols representing eight natural phenomena.
Upper Trigram
Also called the outer trigram. Formed by the top three lines (4th, 5th, top) of a hexagram, representing the external environment.
Lower Trigram
Also called the inner trigram. Formed by the bottom three lines (1st, 2nd, 3rd) of a hexagram, representing one's own state.
Primary Hexagram
The hexagram obtained directly from the six coin tosses, representing the current situation.
Transformed Hexagram
The hexagram formed by flipping the changing lines, representing the direction and final outcome.
Mutual Hexagram
Formed by recombining the 2nd–4th lines as the lower trigram and 3rd–5th as the upper. Represents the process behind events.
Changing Line
Old yin (6) and old yang (9) — lines at their energetic extreme, about to transform. The key to interpretation.
Static Line
Young yang (7) and young yin (8) — lines with stable, unchanging energy.
Hexagram Statement (Guà Cí)
An overarching interpretation of the hexagram as a whole, traditionally attributed to King Wen.
Line Statement (Yáo Cí)
Specific interpretations for each line, traditionally attributed to the Duke of Zhou. Six per hexagram.
Image Statement (Xiàng Cí)
An explanation of the hexagram's symbolic meaning, guiding the superior person in self-cultivation and conduct.
King Wen Sequence
The arrangement of the 64 hexagrams attributed to King Wen: beginning with Qián and Kūn, ending with Jì Jì and Wèi Jì — embodying a profound philosophical structure.

Sincerity is the key — calm your mind and focus on your question before divination.

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