Unified Pattern — Bases — YANG mutant, hexagram 16 (Bi, Holding Together — King Wen no. 8)
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 Bi, Holding Together. Binary numbering 0–63; in brackets, the traditional King Wen number.
Family Bases — YANG mutant, 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 | broken | YANG mutant | 8 | 8 | 8 |
| 2 | broken | YANG mutant | 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 has every symmetry of the square: both axes, the diagonal, the quarter turn and the half turn.
Hexagram 16 (King Wen no. 8) — Holding Together
Upper trigram ☵ Kan (The Abysmal, Water); lower trigram ☷ Kun (The Receptive, the Earth).
Image
Upon the Earth, Water: the image of holding together. Water takes the shape of the ground, nestles into it, spreads without ever fighting it — union without friction, mutual support. This is the figure of natural alliance, one that is not forced but recognized. Thus the ancient kings gathered the distant kingdoms and honored their princes: lasting solidarity is never born of constraint, but of the mutual recognition of what each brings to the other.
Judgement — Weaving
The union of clans is knotted from below, like the warp thread. What holds together lastingly is woven in discretion, thread by thread, long before the structure becomes visible from outside. True solidarity is never decreed from above: it is built from the base, thread by thread, until it forms a weave that nothing can undo.
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 − 16 = 47). 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": "bases:yang_mut",
"hexagramme": 16,
"complement_binaire": 47,
"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",
"M",
"M",
"M",
"O",
"O",
"M",
"M",
"M",
"M",
"O"
],
[
"M",
"O",
"M",
"V",
"O",
"V",
"V",
"O",
"V",
"M",
"O",
"M"
],
[
"M",
"M",
"O",
"O",
"M",
"V",
"V",
"M",
"O",
"O",
"M",
"M"
],
[
"M",
"V",
"O",
"O",
"V",
"V",
"V",
"V",
"O",
"O",
"V",
"M"
],
[
"M",
"O",
"M",
"V",
"O",
"V",
"V",
"O",
"V",
"M",
"O",
"M"
],
[
"O",
"V",
"V",
"V",
"V",
"O",
"O",
"V",
"V",
"V",
"V",
"O"
],
[
"O",
"V",
"V",
"V",
"V",
"O",
"O",
"V",
"V",
"V",
"V",
"O"
],
[
"M",
"O",
"M",
"V",
"O",
"V",
"V",
"O",
"V",
"M",
"O",
"M"
],
[
"M",
"V",
"O",
"O",
"V",
"V",
"V",
"V",
"O",
"O",
"V",
"M"
],
[
"M",
"M",
"O",
"O",
"M",
"V",
"V",
"M",
"O",
"O",
"M",
"M"
],
[
"M",
"O",
"M",
"V",
"O",
"V",
"V",
"O",
"V",
"M",
"O",
"M"
],
[
"O",
"M",
"M",
"M",
"M",
"O",
"O",
"M",
"M",
"M",
"M",
"O"
]
],
"grille_polarite_yin": [
[
"M",
"V",
"V",
"V",
"V",
"M",
"M",
"V",
"V",
"V",
"V",
"M"
],
[
"V",
"M",
"V",
"O",
"M",
"O",
"O",
"M",
"O",
"V",
"M",
"V"
],
[
"V",
"V",
"M",
"M",
"V",
"O",
"O",
"V",
"M",
"M",
"V",
"V"
],
[
"V",
"O",
"M",
"M",
"O",
"O",
"O",
"O",
"M",
"M",
"O",
"V"
],
[
"V",
"M",
"V",
"O",
"M",
"O",
"O",
"M",
"O",
"V",
"M",
"V"
],
[
"M",
"O",
"O",
"O",
"O",
"M",
"M",
"O",
"O",
"O",
"O",
"M"
],
[
"M",
"O",
"O",
"O",
"O",
"M",
"M",
"O",
"O",
"O",
"O",
"M"
],
[
"V",
"M",
"V",
"O",
"M",
"O",
"O",
"M",
"O",
"V",
"M",
"V"
],
[
"V",
"O",
"M",
"M",
"O",
"O",
"O",
"O",
"M",
"M",
"O",
"V"
],
[
"V",
"V",
"M",
"M",
"V",
"O",
"O",
"V",
"M",
"M",
"V",
"V"
],
[
"V",
"M",
"V",
"O",
"M",
"O",
"O",
"M",
"O",
"V",
"M",
"V"
],
[
"M",
"V",
"V",
"V",
"V",
"M",
"M",
"V",
"V",
"V",
"V",
"M"
]
],
"grille_complement": [
[
"O",
"V",
"V",
"V",
"V",
"O",
"O",
"V",
"V",
"V",
"V",
"O"
],
[
"V",
"O",
"V",
"M",
"O",
"M",
"M",
"O",
"M",
"V",
"O",
"V"
],
[
"V",
"V",
"O",
"O",
"V",
"M",
"M",
"V",
"O",
"O",
"V",
"V"
],
[
"V",
"M",
"O",
"O",
"M",
"M",
"M",
"M",
"O",
"O",
"M",
"V"
],
[
"V",
"O",
"V",
"M",
"O",
"M",
"M",
"O",
"M",
"V",
"O",
"V"
],
[
"O",
"M",
"M",
"M",
"M",
"O",
"O",
"M",
"M",
"M",
"M",
"O"
],
[
"O",
"M",
"M",
"M",
"M",
"O",
"O",
"M",
"M",
"M",
"M",
"O"
],
[
"V",
"O",
"V",
"M",
"O",
"M",
"M",
"O",
"M",
"V",
"O",
"V"
],
[
"V",
"M",
"O",
"O",
"M",
"M",
"M",
"M",
"O",
"O",
"M",
"V"
],
[
"V",
"V",
"O",
"O",
"V",
"M",
"M",
"V",
"O",
"O",
"V",
"V"
],
[
"V",
"O",
"V",
"M",
"O",
"M",
"M",
"O",
"M",
"V",
"O",
"V"
],
[
"O",
"V",
"V",
"V",
"V",
"O",
"O",
"V",
"V",
"V",
"V",
"O"
]
]
}
Neighbouring motifs
The previous and next hexagram within the same family, Bases — YANG mutant.

