Unified Pattern — Bases — YANG, hexagram 31 (Guai, Breakthrough — King Wen no. 43)
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 Guai, Breakthrough. Binary numbering 0–63; in brackets, the traditional King Wen number.
Family Bases — 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 | solid | YANG | 8 | 8 | 8 |
| 4 | solid | YANG | 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 reflection in the vertical axis, reflection in the horizontal axis, a half turn.
Hexagram 31 (King Wen no. 43) — Breakthrough
Upper trigram ☱ Dui (The Joyous, the Lake); lower trigram ☰ Qian (The Creative, Heaven).
Image
The Lake rises above Heaven: the image of breakthrough. Water, carried higher than what should normally contain it, threatens to overflow — an extreme tension that calls for a clear, irreversible decision. This is the figure of resolution that can wait no longer. Thus the noble one spreads his bounty downward, never resting on virtue alone: cutting decisively must always be accompanied by generosity toward those the decision affects.
Judgement — Distillation
The decision that cuts clean and eliminates the superfluous. There comes a moment when hesitation itself becomes more dangerous than the sharpness of the decision. This line says true breakthrough does not consist in destroying everything, but in precisely removing what, in excess, threatened the whole.
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 − 31 = 32). 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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Neighbouring motifs
The previous and next hexagram within the same family, Bases — YANG.
