Hexagram

Definition

Pronunciation: liù shí sì guà (Chinese); HEX-uh-gram (English)

Also spelled: Gua, Kua, Liu Shi Si Gua, 64 Hexagrams, 六画卦

Gua (卦) means 'figure' or 'symbol used in divination.' A hexagram (六画卦, liùhuàguà, 'six-line figure') is formed by stacking two trigrams — a lower (inner) and upper (outer) — producing one of 64 possible combinations that map every archetypal situation a person or community can encounter.

Etymology

The English term 'hexagram' was coined by Western translators from Greek hexa (six) and gramma (line/letter). The Chinese term gua (卦) predates the hexagram system — oracle bone inscriptions from the Shang dynasty (c. 1200 BCE) use gua to refer to divination figures generally. The compound liùhuàguà (六画卦) specifies 'six-line gua' to distinguish from sānhuàguà (三画卦, trigrams). The Xici Zhuan (Great Commentary) states that King Wen of Zhou (周文王, c. 1152-1056 BCE), while imprisoned at Youli by the Shang tyrant Zhou Xin, doubled the trigrams into hexagrams and composed the guaci (卦辞, hexagram statements). Archaeological discoveries at Zhangjiapo and other Western Zhou sites have confirmed the use of hexagram-like numerical sequences on oracle bones and bronze vessels dating to the late Shang and early Western Zhou periods.

About Hexagram

A hexagram consists of six horizontal lines stacked vertically, read from bottom to top. Each line is either yang (unbroken, ⚊) or yin (broken, ⚋). The bottom three lines form the lower trigram (inner situation, personal condition), and the top three form the upper trigram (outer situation, environmental condition). The relationship between inner and outer trigrams — whether they support, conflict with, or transform each other — generates the hexagram's meaning.

The 64 hexagrams arise from the eight trigrams combining in all possible pairs: 8 x 8 = 64. This is mathematically equivalent to all possible states of a six-position binary field (2^6 = 64). Each hexagram is a unique situation-archetype, and together they form a closed system intended to represent every possible configuration of change in human experience.

Each hexagram in the received text of the Zhouyi (周易, the oldest layer of the I Ching, dating to the Western Zhou period, c. 1000-750 BCE) carries four layers of text:

The guaci (卦辞, Hexagram Statement or Judgment), traditionally attributed to King Wen. This is the primary oracular pronouncement — a compressed assessment of the situation. For example, Hexagram 1 (Qian): 'The Creative works sublime success, furthering through perseverance.' Hexagram 29 (Kan): 'The Abysmal repeated. If you are sincere, you have success in your heart, and whatever you do succeeds.'

The yaoci (爻辞, Line Statements), traditionally attributed to the Duke of Zhou (周公, King Wen's son). Each of the six lines receives its own text, read only when that line is a 'changing line' in a specific consultation. The line texts are often concrete images — 'A dragon appearing in the field. It furthers one to see the great man' (Qian, line 2) — that require interpretive skill to apply to a questioner's situation.

The Tuan Zhuan (彖傳, Commentary on the Judgment), one of the Ten Wings. This interprets the Judgment through the trigram structure, explaining why the combination of specific inner and outer trigrams produces the stated outcome.

The Xiang Zhuan (象傳, Commentary on the Image), another of the Ten Wings. This provides both a 'Great Image' (daxiang, interpreting the trigram pairing as a natural phenomenon — 'Thunder over the lake: Inner Truth') and 'Small Images' (xiaoxiang, brief comments on each line statement).

The six line positions carry inherent significance independent of any specific hexagram. Positions are numbered 1 (bottom) through 6 (top). Odd positions (1, 3, 5) are yang positions; even positions (2, 4, 6) are yin positions. A yang line in a yang position, or a yin line in a yin position, is said to be 'correct' (zheng 正) — in its proper place. A yang line in position 5 (the ruler's position, the strongest yang seat) or a yin line in position 2 (the minister's position, the strongest yin seat) is especially auspicious. Lines in positions 2 and 5 are said to be 'centered' (zhong 中) because they occupy the middle of their respective trigrams, indicating balance and moderation.

Correspondence (ying 應) between lines adds another layer. Lines in positions 1 and 4, 2 and 5, 3 and 6 are paired. When corresponding lines are of different polarity (one yin, one yang), they 'resonate' and support each other. When both are the same polarity, they clash or fail to connect. Wang Bi's commentary systematized these structural relationships into a formal method for analyzing any hexagram without relying solely on memorized meanings.

The nuclear trigrams (hugua 互卦) provide deeper structural reading. The middle four lines of a hexagram (positions 2-3-4 and 3-4-5) form two overlapping trigrams hidden within the hexagram's visible structure. These nuclear trigrams reveal latent tendencies — forces at work beneath the surface situation. For example, Hexagram 11 (Tai, Peace) has Dui (lake) and Zhen (thunder) as nuclear trigrams, suggesting joyful movement beneath the peaceful surface.

The transformation principle makes the hexagram system dynamic rather than static. When a consultation produces changing lines (old yang or old yin), those lines reverse polarity, transforming the original hexagram into a second hexagram. The reading incorporates both — the primary hexagram as the current situation, the transformed hexagram as the developing situation. A hexagram with no changing lines describes a stable state; a hexagram with multiple changing lines describes a situation in active flux.

Richard Wilhelm's translation (1924, German; 1950, English) rendered each hexagram through a four-part structure — Judgment, Image, line texts, and commentary — that became the standard framework for Western I Ching study. Wilhelm worked with Lao Nai-hsuan (勞乃宣, 1843-1921), a Confucian scholar who transmitted the oral interpretive tradition alongside the written text. Carl Jung wrote the foreword to the English edition, connecting the hexagram system to his theory of synchronicity — meaningful coincidence between inner psychological states and outer events.

Zhu Xi's Zhouyi Benyi (Original Meaning of the Changes of Zhou, 1177) distinguished between the I Ching as a divination manual (its original function) and as a philosophical text (its Confucian appropriation). Zhu Xi argued that the hexagrams were designed primarily for oracular use and that philosophical interpretation, while valuable, should not obscure the text's divinatory core. His approach restored practical consultation methods — including the yarrow-stalk procedure — to scholarly respectability after centuries of purely philosophical readings.

The Mawangdui silk manuscript of the I Ching (discovered 1973, dated c. 190 BCE) contains a hexagram sequence entirely different from the received King Wen order, organized by upper trigram in groups of eight. This archaeological find demonstrated that multiple hexagram orderings existed in early China and that the King Wen sequence was one tradition among several, selected for canonical status during the Han dynasty standardization of the Five Classics.

Significance

The hexagram is the fundamental unit of meaning in the I Ching — the level at which the system speaks. While trigrams provide the vocabulary and individual lines provide the inflection, the hexagram is the sentence: a complete statement about a situation's nature, dynamics, and trajectory.

The 64-hexagram system represents one of humanity's earliest attempts at a complete symbolic taxonomy of human experience. Unlike mythological narratives (which capture specific situations) or philosophical maxims (which capture general principles), the hexagram system does both simultaneously — each hexagram is specific enough to apply to a concrete situation and general enough to encompass a class of situations. This dual nature explains the text's survival across thirty centuries and its adoption by traditions as different as Confucianism, Daoism, and Jungian psychology.

The mathematical completeness of the system — 64 hexagrams exhausting all possible six-line combinations — gives it a formal elegance that purely literary wisdom texts lack. Every possible state of a six-variable binary system is represented, and the transformation rules (changing lines) define every possible transition between states. This makes the hexagram system not merely a collection of wisdom but a closed dynamical model — a property that attracted the attention of Leibniz in the 17th century and continues to interest complexity theorists and information scientists.

Connections

Each hexagram is built from two trigrams — the lower representing inner conditions, the upper representing the external environment. The changing lines mechanism transforms one hexagram into another, creating a dynamic web of relationships among all 64 figures.

The hexagram texts divide into the Judgment (Tuan) and Image (Xiang), each interpreted by dedicated commentarial traditions in the Ten Wings. The two primary orderings — the King Wen Sequence and the Fu Xi Sequence — encode different cosmological principles.

The hexagram system parallels other complete symbolic taxonomies in world wisdom traditions: the Kabbalistic 22 paths on the Tree of Life, the 22 Major Arcana of the Tarot, and the Jyotish system of 27 nakshatras each mapping the complete range of human experience through a finite set of archetypal symbols.

Frequently Asked Questions

How do you read a hexagram — from top to bottom or bottom to top?

Hexagrams are always read from bottom to top. Line 1 is the bottom line, line 6 is the top. This reflects the Chinese cosmological principle that creation begins below and rises — seeds germinate underground before emerging into the light, and the I Ching models processes of growth and change accordingly. The bottom line represents the beginning of a situation, the early and often hidden forces. The middle lines (2-5) represent the situation's development, with lines 2 and 5 being the most significant (centered in their respective trigrams). The top line represents the culmination or excess of the situation's energy. When consulting the oracle, changing lines are read in order from bottom to top, each line statement applying to a progressively later or more developed phase. The lower trigram (lines 1-3) represents the inner situation, personal condition, or approaching influence. The upper trigram (lines 4-6) represents the outer situation, public sphere, or departing influence.

What is the difference between the Zhouyi and the I Ching?

The Zhouyi (周易, 'Changes of Zhou') refers specifically to the oldest textual layer: the 64 hexagram statements (guaci) attributed to King Wen and the 384 line statements (yaoci) attributed to the Duke of Zhou, composed during the Western Zhou dynasty (c. 1046-771 BCE). This is the oracular core — terse, imagistic, and originally used for royal divination. The I Ching (易經, 'Classic of Changes') refers to the complete canonical work: the Zhouyi plus the Ten Wings (Shi Yi, 十翼), a set of seven commentarial texts in ten sections traditionally attributed to Confucius but composed by multiple authors between the 4th and 2nd centuries BCE. The Ten Wings include the Tuan Zhuan (Commentary on the Judgments), Xiang Zhuan (Commentary on the Images), Xici Zhuan (Great Commentary), Wenyan Zhuan (Commentary on the Words), Shuogua Zhuan (Discussion of the Trigrams), Xugua Zhuan (Sequence of the Hexagrams), and Zagua Zhuan (Miscellaneous Notes). The I Ching as a complete book was canonized during the Han dynasty when Emperor Wu (r. 141-87 BCE) established it as the first of the Five Classics.

Can a hexagram have no changing lines?

Yes, and this is a meaningful result. When consulting the I Ching through the yarrow-stalk or three-coin method, each line is determined to be one of four types: old yang (changing), young yang (stable), old yin (changing), or young yin (stable). If all six lines come up as young (stable) lines, no lines change, and no second hexagram is generated. This indicates a stable situation — the archetype described by the hexagram is firmly established and not currently in transition. The reading focuses entirely on the Judgment and Image texts. In practice, about one in sixty-four consultations using the yarrow-stalk method will produce a completely unchanging hexagram (slightly different odds than the coin method due to probability asymmetries). Some commentators, including the Ming dynasty scholar Lai Zhide (1525-1604), considered an unchanging hexagram the most powerful reading because it indicates perfect alignment between the questioner and the archetypal situation — no internal contradictions, no forces pulling the situation toward transformation.