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Unified Pattern — Pair of two — YIN + YANG mutant, hexagram 20 (Jian, Obstruction — King Wen no. 39)

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 Jian, Obstruction. Binary numbering 0–63; in brackets, the traditional King Wen number.

Family Pair of two — YIN + 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.

Tricolour — three independent colours

The pattern's three colour classes, set independently — change one, the other two stay put.

Cell
Tiling
Monochrome — one tint

One tint, read in light and dark — a luminance reading, not three colours with two greyed out.

Cell
Tiling

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:

LevelLineGrid readColour 1 (violet)Colour 2 (magenta)Colour 3 (orange)
1brokenYANG mutant888
2brokenYANG mutant888
3solidYANG888
4brokenYANG mutant888
5solidYANG888
6brokenYANG mutant888
Whole cell484848

The three colours are exactly balanced: 48 cells each. The cell is unchanged by reflection in the diagonal, a half turn.

Hexagram 20 (King Wen no. 39) — Obstruction

Upper trigram ☵ Kan (The Abysmal, Water); lower trigram ☶ Gen (Keeping Still, the Mountain).

Image

On the mountain, Water: the image of obstruction. Water meets the slope and cannot advance directly — it must go around, seek another path, slow its natural course. This is the figure of difficulty that imposes a detour. Thus the noble one turns back upon himself and shapes his own virtue: when the outer obstacle cannot be forced, it becomes the occasion to work on what, within, can still grow.

Judgement — Restraint

Patience itself becomes a shield against the terrain. Facing what cannot be crossed head-on, patience is not resignation but an active protection — it preserves energy for the moment when the passage will open. This line says every obstacle holds, in outline, the indication of the right detour.

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 − 20 = 43). 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_mut",
 "hexagramme": 20,
 "complement_binaire": 43,
 "layer_of": [
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 "grille_polarite_yin": [
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   "V",
   "M",
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   "O",
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   "V",
   "O",
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  ]
 ],
 "grille_complement": [
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   "O",
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   "M",
   "V",
   "V",
   "O",
   "O",
   "M",
   "M",
   "V",
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  ]
 ]
}

Neighbouring motifs

The previous and next hexagram within the same family, Pair of two — YIN + YANG mutant.

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© 2026 Anibal Edelberto Amiot — CC BY-NC 4.0 · Created in collaboration with Claude