OPEN STUDY / 05

Trigram foundations

Recognize three-line structures, reading direction and source-specific names.

About 3 min
Study notes & citation

Trigram foundations. Institute of Mantic Arts. https://www.manticarts.com/en/learning/trigrams

STUDY / OBJECTIVE

Recognize eight three-line structures in a fixed orientation, separating figure from placement.

01 / STUDY

Three lines, eight combinations

Each line has two forms, giving two cubed, or eight, three-line combinations. Identify the bottom line first, then the middle and top. This course uses one for yang and zero for yin, writing strings bottom to top. That is a modern recording convention, not a claim about ancient binary notation.

02 / STUDY

Match names to structures

With bottom-to-top strings: Qian is 111, Kun 000, Zhen 100, Xun 011, Kan 010, Li 101, Gen 001 and Dui 110. Check each line before naming the figure. Reversing the string changes some structures; direction is substantive, not merely typographic.

Kun000
Zhen100
Kan010
Dui110
Gen001
Li101
Xun011
Qian111

Read each string bottom to top: 1 is yang, 0 is yin.

03 / STUDY

Structure and directional assignment

The same eight figures can appear in different orders or directional layouts. Moving a figure need not alter its lines. Compare arrangements by recording orientation, figure names and source for each position before interpreting differences. Keep traditional attributions separate from dates of surviving diagrams.

WORKED EXAMPLE

Distinguishing Kan from Li

Both teaching figures are recorded bottom, middle, then top.

  1. The first is yin, yang, yin: 010, identified as Kan.

  2. The second is yang, yin, yang: 101, identified as Li.

  3. Record the line structures and names without relying on color, page position or background imagery.

The structural record makes identification independently checkable; images such as water and fire form an additional assignment layer.

PRACTICE / REFLECTION

Exercises and answers

01Which trigram has yang below, then two yin lines?

Read the explanation

Bottom-to-top this is 100, Zhen. Reading it in reverse as 001 would incorrectly identify Gen.

02Does moving Qian to another direction change its line structure?

Read the explanation

Moving it alone does not: its three yang lines remain 111. Record the new placement separately from any structural operation.

A distinction to retain

Teaching notation in zeros and ones does not establish historical use of modern binary arithmetic; those are separate claims.

Unit output

Eight trigram cards with names, bottom-to-top strings and an orientation key.

REFERENCES

Reading references

Li Xueqin: Shifa, Biegua and Suanbiao

Tsinghua republication · originally China Culture Daily, 14 January 2014

An edited talk by the manuscript editor; detailed readings require the published edition.

References reviewed: 2026-10-24. Examples, record templates and explanations are editorial teaching material. Fictional inputs are not historical events or efficacy evidence. Citations imply no affiliation.

Personal study record; not a grade, assessment or credential.

Connected study paths

Yijing: from figures to texts

Editorial study material · 2026-10-24