Unified Pattern — Pair of two — YIN + YANG, hexagram 19 (Jie, Limitation — King Wen no. 60)
One of 256 distinct Unified Patterns — a 12×12 Jacquard construction where every cell's colour is read off a single hexagram of the Yi King, hexagram Jie, Limitation. Binary numbering 0–63; in brackets, the traditional King Wen number.
Family Pair of two — YIN + YANG, one of the 8 admissible families (out of 15) in the system's classification — see the lexicon for how families are built and admitted.
The pattern's three colour classes, set independently — change one, the other two stay put.
One tint, read in light and dark — a luminance reading, not three colours with two greyed out.
Reading the cell, line by line
The 144 cells of the 12×12 cell fall into six levels of 24 cells, one per line of the hexagram. Where the line is solid (yang), the level takes its colours from the family's YANG grid; where it is broken (yin), from its YANG mutant grid. Count of each colour, level by level:
| Level | Line | Grid read | Colour 1 (violet) | Colour 2 (magenta) | Colour 3 (orange) |
|---|---|---|---|---|---|
| 1 | solid | YANG | 8 | 8 | 8 |
| 2 | solid | YANG | 8 | 8 | 8 |
| 3 | broken | YANG mutant | 8 | 8 | 8 |
| 4 | broken | YANG mutant | 8 | 8 | 8 |
| 5 | solid | YANG | 8 | 8 | 8 |
| 6 | broken | YANG mutant | 8 | 8 | 8 |
| Whole cell | 48 | 48 | 48 | ||
The three colours are exactly balanced: 48 cells each. The cell is unchanged by a quarter turn, a half turn.
Hexagram 19 (King Wen no. 60) — Limitation
Upper trigram ☵ Kan (The Abysmal, Water); lower trigram ☱ Dui (The Joyous, the Lake).
Image
Upon the Lake, Water: the image of limitation. The lake's water stays contained by its banks, and it is this very limit that allows it to exist as a lake rather than losing itself as a shapeless marsh. This is the figure of constraint that structures rather than stifles. Thus the noble one devises measure and number, and reflects on virtue and conduct: rightly chosen limitation is what gives form to everything, including oneself.
Judgement — Containment
The bamboo sets its nodes so the sap will not disperse. Without the limits that punctuate it, growth itself would lose its strength by scattering without direction. This line says well-placed limitation is not a brake on life, but the condition of its vigor.
The full hexagram page: the six lines, its magic square and the other patterns built on it.
Same shape, other colourings
Two involutions leave this motif's shape unchanged and only permute its three tints — verified across every family and every hexagram in the corpus, not just this one: swapping the pairing used to read the hexagram (YANG/YANG-mutant ↔ YIN/YIN-mutant), and taking the hexagram's binary complement (63 − 19 = 44). Toggle them below; the tiling never changes, only the colours do.
The grid itself
The 12×12 layer map and the three colour grids above, in the raw data — human-readable, and machine-readable as JSON.
Show the data
{
"famille": "par2:yin+yang",
"hexagramme": 19,
"complement_binaire": 44,
"layer_of": [
[
1,
1,
3,
4,
6,
6,
6,
6,
4,
3,
1,
1
],
[
1,
2,
2,
5,
5,
6,
6,
5,
5,
2,
2,
1
],
[
3,
2,
3,
4,
5,
4,
4,
5,
4,
3,
2,
3
],
[
4,
5,
4,
3,
2,
3,
3,
2,
3,
4,
5,
4
],
[
6,
5,
5,
2,
2,
1,
1,
2,
2,
5,
5,
6
],
[
6,
6,
4,
3,
1,
1,
1,
1,
3,
4,
6,
6
],
[
6,
6,
4,
3,
1,
1,
1,
1,
3,
4,
6,
6
],
[
6,
5,
5,
2,
2,
1,
1,
2,
2,
5,
5,
6
],
[
4,
5,
4,
3,
2,
3,
3,
2,
3,
4,
5,
4
],
[
3,
2,
3,
4,
5,
4,
4,
5,
4,
3,
2,
3
],
[
1,
2,
2,
5,
5,
6,
6,
5,
5,
2,
2,
1
],
[
1,
1,
3,
4,
6,
6,
6,
6,
4,
3,
1,
1
]
],
"grille_polarite_yang": [
[
"O",
"M",
"V",
"V",
"V",
"O",
"O",
"M",
"M",
"M",
"V",
"O"
],
[
"V",
"O",
"M",
"M",
"O",
"V",
"M",
"O",
"V",
"V",
"O",
"M"
],
[
"M",
"V",
"O",
"O",
"M",
"V",
"M",
"V",
"O",
"O",
"M",
"V"
],
[
"M",
"V",
"O",
"O",
"M",
"V",
"M",
"V",
"O",
"O",
"M",
"V"
],
[
"M",
"O",
"V",
"V",
"O",
"M",
"V",
"O",
"M",
"M",
"O",
"V"
],
[
"O",
"M",
"M",
"M",
"V",
"O",
"O",
"M",
"V",
"V",
"V",
"O"
],
[
"O",
"V",
"V",
"V",
"M",
"O",
"O",
"V",
"M",
"M",
"M",
"O"
],
[
"V",
"O",
"M",
"M",
"O",
"V",
"M",
"O",
"V",
"V",
"O",
"M"
],
[
"V",
"M",
"O",
"O",
"V",
"M",
"V",
"M",
"O",
"O",
"V",
"M"
],
[
"V",
"M",
"O",
"O",
"V",
"M",
"V",
"M",
"O",
"O",
"V",
"M"
],
[
"M",
"O",
"V",
"V",
"O",
"M",
"V",
"O",
"M",
"M",
"O",
"V"
],
[
"O",
"V",
"M",
"M",
"M",
"O",
"O",
"V",
"V",
"V",
"M",
"O"
]
],
"grille_polarite_yin": [
[
"M",
"V",
"O",
"O",
"O",
"M",
"M",
"V",
"V",
"V",
"O",
"M"
],
[
"O",
"M",
"V",
"V",
"M",
"O",
"V",
"M",
"O",
"O",
"M",
"V"
],
[
"V",
"O",
"M",
"M",
"V",
"O",
"V",
"O",
"M",
"M",
"V",
"O"
],
[
"V",
"O",
"M",
"M",
"V",
"O",
"V",
"O",
"M",
"M",
"V",
"O"
],
[
"V",
"M",
"O",
"O",
"M",
"V",
"O",
"M",
"V",
"V",
"M",
"O"
],
[
"M",
"V",
"V",
"V",
"O",
"M",
"M",
"V",
"O",
"O",
"O",
"M"
],
[
"M",
"O",
"O",
"O",
"V",
"M",
"M",
"O",
"V",
"V",
"V",
"M"
],
[
"O",
"M",
"V",
"V",
"M",
"O",
"V",
"M",
"O",
"O",
"M",
"V"
],
[
"O",
"V",
"M",
"M",
"O",
"V",
"O",
"V",
"M",
"M",
"O",
"V"
],
[
"O",
"V",
"M",
"M",
"O",
"V",
"O",
"V",
"M",
"M",
"O",
"V"
],
[
"V",
"M",
"O",
"O",
"M",
"V",
"O",
"M",
"V",
"V",
"M",
"O"
],
[
"M",
"O",
"V",
"V",
"V",
"M",
"M",
"O",
"O",
"O",
"V",
"M"
]
],
"grille_complement": [
[
"O",
"V",
"M",
"M",
"M",
"O",
"O",
"V",
"V",
"V",
"M",
"O"
],
[
"M",
"O",
"V",
"V",
"O",
"M",
"V",
"O",
"M",
"M",
"O",
"V"
],
[
"V",
"M",
"O",
"O",
"V",
"M",
"V",
"M",
"O",
"O",
"V",
"M"
],
[
"V",
"M",
"O",
"O",
"V",
"M",
"V",
"M",
"O",
"O",
"V",
"M"
],
[
"V",
"O",
"M",
"M",
"O",
"V",
"M",
"O",
"V",
"V",
"O",
"M"
],
[
"O",
"V",
"V",
"V",
"M",
"O",
"O",
"V",
"M",
"M",
"M",
"O"
],
[
"O",
"M",
"M",
"M",
"V",
"O",
"O",
"M",
"V",
"V",
"V",
"O"
],
[
"M",
"O",
"V",
"V",
"O",
"M",
"V",
"O",
"M",
"M",
"O",
"V"
],
[
"M",
"V",
"O",
"O",
"M",
"V",
"M",
"V",
"O",
"O",
"M",
"V"
],
[
"M",
"V",
"O",
"O",
"M",
"V",
"M",
"V",
"O",
"O",
"M",
"V"
],
[
"V",
"O",
"M",
"M",
"O",
"V",
"M",
"O",
"V",
"V",
"O",
"M"
],
[
"O",
"M",
"V",
"V",
"V",
"O",
"O",
"M",
"M",
"M",
"V",
"O"
]
]
}
Neighbouring motifs
The previous and next hexagram within the same family, Pair of two — YIN + YANG.
