玄ZenTellATLAS OF WISDOM TRADITIONS

Liu Yao & divination / ENCYCLOPEDIA

Coin casting

铜钱起卦

Three-coin casting builds a hexagram through six throws from bottom to top. Fixed face values produce both polarity and moving-line information.

Introductory article2 min readUpdated 2026-09-30AI-assisted · Editorially checked

At a glance

Throws
Three coins, six throws
Moving values
Six and nine
A modern ink illustration of books, brushwork and mountains
Original ZenTell AI illustration · Contemporary artwork, not a historical object
Coin-method values and probabilitiesAssign 2 and 3 to the two sides and add three independent fair coins. Values are 6–9. The classical yarrow method has a different probability distribution.Three coins: four possible line values6Old yin · moving1/87Young yang · still3/88Young yin · still3/89Old yang · moving1/8
Coin-method values and probabilitiesAssign 2 and 3 to the two sides and add three independent fair coins. Values are 6–9. The classical yarrow method has a different probability distribution.

Definition and terminology

A common method assigns two to one face and three to the other, summing three coins to six, seven, eight or nine. These designate old yin, young yang, young yin and old yang. Face naming varies, so specify the numerical assignment rather than relying only on heads, tails or obverse terminology.

Structure and rules

Record six totals upward from the bottom and reverse only sixes and nines for the changed sign. Under independent fair-face assumptions, six and nine each have probability one eighth, while seven and eight each have three eighths. This is mathematics of the assumed random model, not evidence that coins answer a question.

Worked reading

A bottom-up record of 7,8,7,8,7,9 gives Li below Xun, Jiaren. Only the top nine moves; reversing it changes the upper trigram to Kan, yielding Jiji. Keeping all six totals makes the operation reproducible. The names do not establish facts about an actual family or outcome.

Context and limits

Coin casting differs from the Xici stalk procedure in operations and probabilities. Najia reading additionally installs branches, relationships, subject/counterpart and date factors. Casting is only the first step. A simulation should state its random method. Traditional predictions and procedural rules are separate, and repeatedly selecting a preferred result undermines transparent recording.

References & further reading

Historical sources document ideas and rules of their time, not empirical proof of predictive accuracy. Source notes identify the nature and scope of each reference.

  1. 《增删卜易》Primary / tradition source

    Public-domain Six Lines text; page includes modern transcriber additions, so use the original numbered chapters for attribution.

  2. 《易传·系辞上》Primary / tradition source

    Public-domain commentary; traditional accounts of polarity, taiji, images and stalk divination; traditional attribution is not settled authorship.