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Unified Pattern — Triple — without YANG mutant, hexagram 18 (Kan, The Abysmal — King Wen no. 29)

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 Kan, The Abysmal. Binary numbering 0–63; in brackets, the traditional King Wen number.

Family Triple — without 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
2solidYANG888
3brokenYANG mutant888
4brokenYANG mutant888
5solidYANG888
6brokenYANG mutant888
Whole cell484848

The three colours are exactly balanced: 48 cells each. The cell is unchanged by a quarter turn, a half turn.

Hexagram 18 (King Wen no. 29) — The Abysmal

Upper trigram ☵ Kan (The Abysmal, Water); lower trigram ☵ Kan (The Abysmal, Water).

Image

Water comes and comes again: the image of the abysmal doubled. Danger repeats, wave after wave, never offering complete respite — yet water itself, in its constant motion, always finds its own level. This is the figure of repeated trial that forges constancy. Thus the noble one steadily practices virtue and teaches the ways of things: facing danger that returns, only repeated practice, in turn, builds mastery.

Judgement — Trial

Navigating water that will not be sounded. Certain depths can never be fully measured in advance — one can only learn to move within them with what means are at hand, never claiming to master them entirely. This line says that true skill before danger is not to eliminate it, but to learn to swim in it.

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 − 18 = 45). 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
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 "hexagramme": 18,
 "complement_binaire": 45,
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  ]
 ]
}

Neighbouring motifs

The previous and next hexagram within the same family, Triple — without YANG mutant.

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