The Book of Changes
Nobody knows exactly when or how the I Ching began. Its origins disappear into the pre-literate depths of Chinese antiquity, long before writing existed in any form that has survived. What is known is that the practice of asking the universe questions and reading its answers from physical patterns is older than any Chinese text, older than the Chinese script itself and older than any of the dynasties that would later claim credit for the system. The I Ching did not begin with a book. It began with women reading turtle shells in the firelight.
Before the I Ching had hexagrams or trigrams or any written form at all, there were the wu (巫). They were the shamanic spirit mediums of ancient China, the people who stood between the human world and the unseen forces that shaped it. And the earliest evidence indicates they were predominantly female.
The oldest Chinese dictionary, the Shuowen Jiezi (说文解字), compiled around 100 CE by Xu Shen, defines wu with explicit female significance. The character wu (巫) itself may be cognate with mu (母, "mother"). During the later Zhou dynasty, a separate term xi (覡) had to be coined specifically for male shamans, precisely because wu had been the female term. The men needed their own word. The women had the original one.
Oracle bone inscriptions from the Shang dynasty (roughly 1600 to 1046 BCE) provide physical evidence. These inscriptions name specific female wu who performed divination rituals and rain-making ceremonies: Yang, Fang and Fan appear by name on the bones. One inscription reads "divination, the wu proclaims..." Another describes a group of nine wu performing ritual dances before sacrificial ceremonies. These were not marginal figures. They held spiritual authority at the highest levels of Shang society.
The divination they practiced was plastromancy - reading cracks in heated turtle shells and animal bones. The diviner carved a question into the shell, applied intense heat until the bone cracked and read the pattern of fractures as the answer. Thousands of these inscribed oracle bones have survived into the present, giving us both the earliest form of Chinese writing and the earliest physical evidence of systematic divination in China.
The most spectacular confirmation of female spiritual authority in early China came from the ground in 1976. Archaeologists excavating at Yinxu (殷墟), the ruins of the Shang capital near modern Anyang, discovered the undisturbed tomb of Fu Hao (妇好), a consort of King Wu Ding who ruled around 1250 BCE.
Fu Hao was not a passive royal wife. Tortoise shells inscribed with "prepared by Fu Hao" prove she personally presided over divination rituals. She inscribed oracle bones with her own hand. She was also the king's most formidable military commander, leading armies of up to thirteen thousand soldiers into battle. Her tomb contained 468 bronze objects, 755 jade pieces, bone artifacts, oracle bones and ritual vessels - the richest Shang dynasty archaeological find ever discovered.
Fu Hao embodies a reality that later Chinese history would work hard to obscure: at the very dawn of Chinese civilisation, spiritual authority and political power were united in the same person and that person was a woman. The divination tradition that would eventually become the I Ching did not begin as the province of male scholar-sages sitting in quiet contemplation. It began with women who commanded armies and read the will of heaven from cracked bone.
Beyond individual figures like Fu Hao, there are traditions pointing to an ancient lineage of female diviners known as the Many Fu (多妇) clan. These women are said to have read the natural patterns on live turtle shells - not the cracks from heating but the existing markings on the shell itself, reading the geometry of nature directly. According to some traditions, this clan of female diviners became the queens and royalty of the Shang dynasty, their spiritual authority translating into political power. Some lineage traditions even trace Laozi's ancestry back to this clan, connecting the founder of Daoism to the oldest known tradition of female divination.
The historical evidence for the Many Fu clan is less certain than for Fu Hao and the named wu on oracle bones. But the pattern it describes - female spiritual authority preceding and enabling political power - is consistent with what the archaeological record shows. The wu came first. The kings came after.
Chinese tradition holds that the trigram system did not come from human invention. It came from the rivers.
The He Tu (河图, River Map) is said to have appeared on the back of a dragon-horse (龙马) that emerged from the Yellow River during the time of Fu Xi. The creature's back bore a pattern of dots arranged in a specific numerical configuration: odd numbers (yang) and even numbers (yin) distributed around a centre in a way that mapped the relationships between the five elements and the cardinal directions. Fu Xi, seeing this pattern, is said to have derived the eight trigrams from it.
The Lo Shu (洛书, Luo Writing) appeared later, on the back of a sacred turtle that emerged from the Luo River during the time of the legendary Yu the Great (大禹), the flood-tamer described in the Shan Hai Jing. The turtle's shell bore a pattern of dots that formed what mathematicians now call a 3x3 magic square: the numbers one through nine arranged so that every row, column and diagonal sums to fifteen.
Whether these stories describe real events, symbolic transmissions or mythological frameworks for knowledge that was developed through long observation is something the traditions themselves do not resolve. What is clear is that the Chinese placed the origins of their mathematical and cosmological systems not in human reasoning but in nature itself - in patterns carried by creatures emerging from water, the source of life. The knowledge was read from the world, not invented by the mind.
The He Tu and Lo Shu deserve detailed treatment of their own and a dedicated page will follow. For the I Ching, what matters is their role in the origin story: the trigrams were understood to encode a pattern that nature itself had revealed.
Chinese tradition attributes the creation of the eight trigrams (八卦, bagua) to Fu Xi (伏羲), a legendary sage-king said to have lived around 2800 BCE. Whether Fu Xi was a historical person, a composite figure or a mythological archetype does not change what was created in his name: a system of eight three-line symbols that together represent the fundamental forces of the natural world.
The legend says Fu Xi observed nature. He watched the patterns of the sky, the markings on the backs of animals, the flow of rivers, the cycles of the seasons. From these observations he distilled eight fundamental modes of being, each represented by a stack of three lines. Each line is either solid (yang, representing the active, creative, expansive principle) or broken (yin, representing the receptive, yielding, structuring principle). Three lines, two possible states per line. The mathematics is simple: two to the power of three equals eight. Eight trigrams. No more, no less. Every possible combination of three binary choices is accounted for.
The I Ching as we know it is not the only version of the Changes that existed in ancient China. Classical sources record two predecessor texts that have not survived: the Lian Shan (连山, Connected Mountains) and the Gui Cang (归藏, Return to the Hidden).
The Lian Shan is attributed to the Xia dynasty and is said to have begun with Hexagram 52, Gen (Mountain). The Gui Cang is attributed to the Shang dynasty and is said to have begun with Hexagram 2, Kun (Earth). The received I Ching, the Zhou Yi (周易), begins with Hexagram 1, Qian (Heaven). Three dynasties, three versions, three different starting points: Mountain, Earth, Heaven. Each choice of opening hexagram reflects a different cosmological emphasis - stability, receptivity, creativity.
Fragments attributed to the Gui Cang were discovered among bamboo slips at the Wangjiatai tomb site in Hubei province in 1993, suggesting that the text was real rather than legendary. But no complete version of either predecessor has survived. The Zhou Yi is the version that endured, carried forward by Confucian scholarship and imperial canonisation while the earlier versions were lost.
Tradition holds that around the eleventh century BCE, King Wen of Zhou (周文王) was imprisoned by the last tyrannical ruler of the Shang dynasty, Di Xin. During his years of confinement, King Wen took the eight trigrams and combined them in pairs, stacking one on top of another. Two trigrams, six lines total, each line either solid or broken. Two to the power of six equals sixty-four. Sixty-four hexagrams. The complete set. Every possible arrangement of yin and yang across six positions, with nothing missing and nothing repeated.
King Wen wrote a judgment (卦辞, guaci) for each hexagram, a brief statement capturing its essential meaning and situation. His son, the Duke of Zhou (周公), added line texts (爻辞, yaoci) for each of the six individual lines in every hexagram, giving 384 individual line statements in total. Together, the hexagram judgments and line texts form the core text of the I Ching, known as the Zhou Yi (周易, the Changes of Zhou).
The structure of a hexagram is not random. The lower trigram (lines one through three) represents the internal situation, the inner state, what is hidden, what is personal. The upper trigram (lines four through six) represents the external environment, the outer reality, what is visible, what is beyond your control. A hexagram is a meeting of inner and outer, a portrait of a moment in which your internal state intersects with the world around you.
The original Zhou Yi was terse. A hexagram judgment might be four characters long. Over the centuries that followed, ten appendices were compiled, known collectively as the Ten Wings (十翼, Shi Yi). They transformed the I Ching from an oracle into a philosophical masterwork.
The Great Commentary (大传, Da Zhuan), the most important of the Ten Wings, explains the cosmological principles underlying the hexagrams, discusses the theory of yin and yang, introduces the concept of the Tai Ji (太极, the Supreme Ultimate) as the source from which all things emerge and articulates why the system works as a tool for understanding change.
In 136 BCE, during the Han dynasty, Emperor Wu officially established the I Ching as one of the Five Classics of Confucianism. From that point forward, every educated person in China was expected to study it. It was not optional. It was not esoteric. It was considered essential knowledge for governance, moral reasoning and understanding the world.
Strip away the poetic imagery, the cultural context and the centuries of commentary. Look at what is actually sitting in front of you. It is a complete binary system.
Everything begins with the simplest possible distinction. A line is either solid or broken. Yang or yin. In the language of modern computing: one or zero.
This is one bit. One binary digit. It can hold exactly two values. In a computer, those values are voltages. In the I Ching, they are broken and solid lines. The notation is different. The mathematics is identical.
Stack three lines. Each can be yin (0) or yang (1). Three positions, two states each: 2 x 2 x 2 = 8 combinations. These are the eight trigrams - the complete set of all possible three-bit binary numbers from 000 to 111.
Notice the logic. Kan (Water, 010) has a single solid yang line trapped between two broken yin lines - strength hidden inside danger, a current of energy flowing through dark depths. Li (Fire, 101) is the inverse: a broken yin line between two solid yang lines - bright and energetic on the outside but hollow at the centre, needing fuel to sustain itself. The binary pattern and the natural element match structurally.
Why three lines? Because three is the minimum number needed to express a relationship with direction and process. The bottom line represents the beginning, the root, the internal origin. The middle line represents the process, the transition, the human realm. The top line represents the outcome, the surface, the result. Two lines would give only static polarity. Three lines give polarity in motion.
Take two trigrams and stack them. Six lines total. 2 x 2 x 2 x 2 x 2 x 2 = 64 combinations. Every possible six-bit binary number from 000000 to 111111 is represented. Nothing is missing. Nothing is duplicated. This is the complete set of sixty-four hexagrams.
The lower trigram (lines one through three) represents the internal. The upper trigram (lines four through six) represents the external. A hexagram is the intersection of inner and outer at one moment.
A static binary system would give sixty-four possible states. The I Ching goes further. Among the six lines of a hexagram, some may be designated as changing lines. Old yang is a solid line so fully expressed that it transforms into yin. Old yin is a broken line so deeply yin that it becomes yang. These are the points of instability where change is actively happening.
When changing lines are present, the hexagram transforms into a second hexagram. The first shows the present situation. The second shows the direction of change. This gives 64 x 64 = 4,096 possible transitions - every possible path of change from any state to any other state. It is a complete mathematical model of how situations evolve.
Modern information theory holds that all information can be reduced to binary digits. The I Ching arrived at the same conclusion three thousand years earlier, using broken and solid lines instead of zeros and ones and added something that information theory alone does not provide: a framework of meaning for each pattern and each transformation.
There are several methods for casting a hexagram. Each produces six lines built from the bottom up. The methods differ in their probability distributions, their ritual complexity and their history.
The yarrow stalk method (蓍草法) is the oldest and most elaborate. Forty-nine dried stalks of the yarrow plant are divided, counted and sorted through a three-round process that produces one line. This is repeated six times. The probability distribution is asymmetric: old yin has a 6.25 percent chance, old yang 18.75 percent, young yin 43.75 percent and young yang 31.25 percent.
The three-coin method (三钱法) emerged during the Tang dynasty and has been the most widely practiced for over a thousand years. Three coins are tossed six times, once per line. Each coin: heads = 3 (yang), tails = 2 (yin). The total can only be 6 (old yin, changing), 7 (young yang, stable), 8 (young yin, stable) or 9 (old yang, changing). The probability distribution is symmetric: old yin and old yang each have 12.5 percent, young yin and young yang each have 37.5 percent.
The single-coin method is the simplest. One coin tossed six times. Heads = yang, tails = yin. No changing lines. Six tosses, six bits, one hexagram. The purest binary expression of the system.
The yarrow stalk method's asymmetric probabilities mean that changing lines appear less often and changing yang appears three times more frequently than changing yin. Readings tend to be more conservative - fewer moving lines, more stable hexagrams. Many traditionalists find significance in this, noting that it mirrors a natural tendency toward stability punctuated by occasional moments of significant transformation.
The three-coin method treats changing yin and changing yang as equally likely. The probability distribution is symmetric: yin and yang, stability and change, are given equal mathematical weight. Practitioners of this method note that it does not lean in any direction, leaving the hexagram free to reflect whatever the actual condition of the moment happens to be.
The universe operates in cycles at every scale. Day and night. Seasons. The sixty-year cycle (六十甲子) of the Chinese calendar. The rise and fall of dynasties. Some eras are dominated by stability. Others are defined by upheaval. These are phases within larger cycles. A method that structurally favours stability will produce readings that lean toward calm even during turbulent periods. A method with symmetric probabilities will let the character of the era express itself without structural bias. Both approaches have their defenders and practitioners across centuries have produced accurate and meaningful readings with each.
The Chinese concept underpinning I Ching divination is Gan Ying (感应) - stimulus-response or resonance. The principle states that things of the same kind attract and respond to each other. Energies of the same frequency vibrate together.
Strike a tuning fork and another identical fork across the room will begin to hum with no physical connection between them. Gan Ying extends this principle to the relationship between consciousness and reality. When you hold a question with genuine sincerity, your intention carries a specific pattern. The unified field of reality resonates with that pattern and reflects it back. The coins are not producing a random result. They are the physical medium through which the resonance expresses itself.
The hexagram you receive is not just about you in isolation. It is not just about the age you live in. It is the intersection of both, captured at a single point in time.
The universe operates in cycles at every scale simultaneously. There is the macro: the era, the political climate, the economic cycle, the phase of civilisation. And there is the micro: your personal situation, your emotional state, your specific question. These are not separate systems. They are nested. Your personal situation exists within the larger cycle and the larger cycle expresses itself through individual situations. You are not standing outside the pattern looking in. You are part of the pattern.
When you hold your question and throw the coins, your consciousness - carrying the imprint of both your personal state and the macro environment you are embedded in - interacts with the field of possibility. Before the coins land, all sixty-four hexagrams exist as potential. Your intention, carrying the full complexity of your situation within the full complexity of the era, collapses that potential into one specific result. The hexagram is a snapshot of where you sit within the larger pattern of cycles, frozen at one instant.
This is why the divination method needs to be neutral. If the method itself filters the outcome, if it suppresses changing lines or favours one type of result over another, it adds noise between the consciousness and the response. A neutral method lets the full spectrum of possibility remain open so that the actual state of things - both macro and micro - can express itself without distortion through the moment of casting.
If the I Ching is the code of the universe, Shao Yong (邵雍, 1011-1077) is the man who decoded it. He is one of the Five Masters of Northern Song Neo-Confucianism alongside Zhou Dunyi, Zhang Zai and the Cheng brothers. While his contemporaries focused on moral philosophy, Shao Yong looked at the I Ching and saw mathematics.
Born into a humble scholarly family in Fanyang (near modern Beijing), his early life was shaped by upheaval. The Liao dynasty invasions displaced his family southward and they settled in Gongcheng, Henan. Around the age of thirty he met Li Zhicai (李之才), a local official who taught him the Xiantian Yixue (先天易学, Earlier Heaven I Ching studies). This knowledge lineage traced back to the legendary Daoist master Chen Tuan (陈抟, 871-989).
Shao Yong spent his life as a recluse in Luoyang, refusing all government positions despite multiple recommendations. He lived in a modest studio called Anle Wo (安乐窝, Dwelling of Peaceful Joy), donated by his friend Sima Guang (司马光), one of the most eminent historians in Chinese history. His intellectual circle included Sima Guang, Fu Bi and the Cheng brothers.
Shao Yong's single most consequential achievement was the Xiantian diagram (先天图), his arrangement of all sixty-four hexagrams in a binary counting sequence. Starting from pure yin (Kun, 000000) and progressing to pure yang (Qian, 111111), he laid out every hexagram as a step in a perfect mathematical progression. He arranged them in both circular and square formats. The circular version places complementary opposites across from each other, reflecting the cosmological balance of the universe.
He attributed this arrangement to Fu Xi and called it the Xiantian (先天, Earlier Heaven) order, distinguishing it from the received King Wen sequence. Whether the arrangement was a rediscovery of ancient knowledge or Shao Yong's own creation, its mathematical structure is undeniable. It is a perfect binary progression. Every six-bit number from zero to sixty-three is represented in order without gaps or repetitions. This was six centuries before any European would describe binary arithmetic.
Shao Yong's masterwork, the Huangji Jingshi (皇极经世, Book of Supreme World-Ordering Principles), structured the entire history of the universe into nested cycles: yuan (元, one epoch of 129,600 years), hui (会, 10,800 years), yun (运, 360 years) and shi (世, 30 years). Within this framework he traced Chinese history from the mythical era of Emperor Yao through the Five Dynasties, mapping historical events to hexagrams and demonstrating that the patterns of change visible in the I Ching are the same patterns that govern the rise and fall of civilisations. A dedicated page on the Huangji Jingshi will follow.
The divination method attributed to Shao Yong, Mei Hua Yi Shu (梅花易数, Plum Blossom Numerology), is named after a famous incident. Shao Yong was admiring plum blossoms when he saw two sparrows fighting over a branch. Both fell to the ground. He immediately derived a hexagram from the time and circumstances and predicted that a young girl would come the next evening to pick the blossoms, be startled by the elderly gardener, fall and injure her leg but recover. It happened exactly as he described.
Mei Hua Yi Shu does not use coins or yarrow stalks. You derive hexagrams from numbers already present in the moment: the time of day, the number of objects you see, the sounds you hear. The premise is radical: you do not need a randomising device because the universe is already expressing its pattern through everything happening around you. The information is present in reality itself. You just need to know how to read it.
There is another famous story. One New Year's Eve, someone knocked once on Shao Yong's door. He asked his son to predict what the neighbour wanted to borrow. The son calculated from the single knock and the date that the object had metal (short) and wood (long). A hoe, the son concluded. No, Shao Yong said - he wants an axe. The neighbour did want an axe. Shao Yong explained that calculation alone is not enough. The ground was frozen. Nobody uses a hoe in winter. On New Year's Eve everyone builds a fire. They need to chop wood. They need an axe.
Mei Hua Yi Shu deserves its own in-depth treatment and a dedicated page will follow.
Gottfried Wilhelm Leibniz (1646-1716), the German mathematician who co-invented calculus, had been developing binary arithmetic privately since around 1679. He saw theological meaning in it: everything created from nothing, all numbers generated from just zero and one. But he had not published it.
In 1697, Leibniz began corresponding with Joachim Bouvet (1656-1730), a French Jesuit missionary at the court of the Kangxi Emperor in Beijing. In February 1701, Leibniz described his binary system to Bouvet. Bouvet immediately recognised the connection to the I Ching hexagrams and sent back a woodcut diagram of the sixty-four hexagrams in Shao Yong's Xiantian arrangement.
The letter took over fourteen months to reach Leibniz. When it arrived in April 1703, he was electrified. Within a single week he submitted to the French Academy of Sciences a paper titled: Explanation of Binary Arithmetic, which uses only the characters 0 and 1 with some remarks on its usefulness and on the light it throws on the ancient Chinese figures of Fu Xi.
There is an important nuance. Leibniz believed the ancient Chinese had understood binary arithmetic mathematically. Modern scholarship is more careful. The Chinese tradition used hexagrams cosmologically and divinatorily, not as a counting system. The binary arrangement Bouvet sent was Shao Yong's eleventh-century creation. Whether the ancient sages who created the trigrams thought of them as binary numbers is unknowable. But the structural correspondence is real. The notation is different. The logic is identical. And the binary arithmetic Leibniz formalised in 1703, partly catalysed by seeing Shao Yong's diagram, would become the foundation of the digital age two and a half centuries later.
Richard Wilhelm (1873-1930) was a German Protestant missionary sent to Qingdao, China in 1899. He went to convert the Chinese. Instead, China converted him. Over twenty-five years he became fluent in Chinese, developed a deep love for Chinese culture and never baptised a single person.
In 1911, Wilhelm met Lao Nai-hsuan (劳乃宣), a Chinese sage experienced in the old traditions. Lao Nai-hsuan taught Wilhelm the I Ching's deeper philosophy. Wilhelm did not just translate words. He absorbed the cosmological context, the living tradition of how the text was understood and used. His German translation, published in 1923, was rendered into English by Cary F. Baynes in 1950. It remains the most widely read and influential Western translation of the I Ching.
Richard Wilhelm died in 1930 at fifty-seven. Without his ability to enter a foreign mentality without losing himself, as Carl Jung described it, the I Ching would likely have remained an academic footnote in Western consciousness rather than the living, consulted text it became.
Carl Gustav Jung (1875-1961), the Swiss psychiatrist who founded analytical psychology, first encountered the I Ching in 1919. He met Richard Wilhelm in November 1921. For more than thirty years Jung consulted the I Ching in clinical sessions and for personal guidance.
What the I Ching gave Jung was a problem. Western science rests on causality: A causes B causes C. But the I Ching produces meaningful results without any causal mechanism connecting the coin toss to the life situation. There is no physical chain of cause and effect linking three coins falling on a table to whether you should take a new job. And yet the answers are meaningful. Not occasionally. Consistently.
Jung's answer was the concept of synchronicity, which he first used publicly in 1930 in his memorial address for Richard Wilhelm. He was specifically trying to explain how the I Ching works. He defined synchronicity as a meaningful coincidence of two or more events connected not by cause and effect but by meaning - an acausal connecting principle. He spent years developing this concept in collaboration with Wolfgang Pauli, the Nobel Prize-winning physicist and his earlier conversations with Einstein about time and coincidence also fed into his thinking.
In his foreword to the Wilhelm-Baynes English translation, Jung described the I Ching as representing one long admonition to careful scrutiny of one's own character, attitude and motives. The hexagram produced during a consultation, in his view, is not random. It is a meaningful coincidence: the outer event mirrors the inner state because both are expressions of the same underlying pattern.
What Jung gave the Western world was a framework for taking the I Ching seriously without abandoning intellectual rigour. Without three decades of consulting the Book of Changes and finding that it consistently responded to the pattern of the moment rather than producing random noise, he would never have arrived at synchronicity as a concept.
The I Ching has survived the fall of every dynasty that canonised it. It survived the Qin dynasty book burnings. It survived the Cultural Revolution. It survived being dismissed as superstition and romanticised as exotic mysticism. It survived all of this because it is neither superstition nor mysticism. It is a system - a map of how change works, encoded in binary logic, validated by three thousand years of continuous use and structurally identical to the mathematical language that now runs the entire digital world.
From Shang dynasty women reading turtle shells, to King Wen writing hexagram judgments in prison, to Shao Yong arranging the binary code in his quiet studio in Luoyang, to Leibniz seeing the same code in a letter from Beijing, to Wilhelm sitting with a Chinese sage learning to read the Changes, to Jung consulting the oracle in Zurich, to the billions of binary operations that power the device you are reading this on right now - the thread is unbroken. The I Ching is not old. It is early.