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Baixada · Study · Field guidePart I · The solve, and how to read it
Chapter iii

Reading a chart

Each chart shows how the solve plays every possible holding at one decision. With all three cards unknown the lab never squeezes them into one flat grid: it draws exact blocks — one card pinned per block, the other two on the axes — so every cell is exactly one holding, never a family.

The reader below turns up a 4 (v4), so the 5s are the manilhas: they beat everything, they carry their suit — 5♣ > 5♥ > 5♠ > 5♦ — and each is a single card, so a manilha row or column holds exactly one copy and appears alone. Plain ranks ignore suit entirely: a 3 is any 3.

§ 1

Finding a hand

Pin your weakest card to pick the block (this reader begins at L = 7), then run your highest card down the rows and your middle card across the columns. The brass label is itself the control — click it to change both the pinned slot and the one card this chart holds fixed. Hover or tap any cell —

H \ M5♥5♠5♦32AKJQ7
5♣100100100100100100100100100100
5♥10010010010010010010095100
5♠100100100100100100100100
5♦100100100100100100100
3100100100100100100100
2100100100100100100
A100100100100100
K100100100100
J100100100
Q100100
7100

Hover or tap a cell. The block pins one card; the axes name the other two.

Plate II Real data — 11×9 v4, the hand of eleven seen from the side on eleven: accept or fold, drawn with the lab's own cells. The brass label chooses the pinned card; the readout prints the pointed holding's full mix and each action's win %.
§ 2

The number, the bands, and ≈

Only one number fits in a cell, so a mixed cell prints its biggest slice — the most-played action's percentage. The color bands carry the whole mix, each sized by its probability; the readout here (in the lab: the tooltip) spells out every action with its exact share.

A cell wearing ≈ instead of a number is weak: where a per-node BR measurement ships, an adversarial best response gains more than 5 match-win points. Older exports use the legacy self-loss/reach alarm. Either way, read ≈ as a warning, not a tactic. The trust chapter explains the badge, and Appendix B shows the legacy alarm’s machinery.

hi \ lo5♣5♥5♠5♦32AKJQ764
5♣50100100100100100100100100100100100
5♥50100100100100100100100100100100
5♠50100100100100100100100100100
5♦100100100100100100100100100
31006510010010010010010089
21007110010010010010089
A1006810010010010086
K1006710010010085
J1006410010086
Q1006810094
710055100
610096
4100

Hover or tap a cell. Solid cells carry trained mixes; the pale ≈ cells are flagged.

Plate II·b Real data — 11x11 v4, a corner the solve rarely visits: the leader led the 4, the dealer took the round with a 3 and led round 2 face down. The leader's exact two-card grid has 0 of 87 cells flagged ≈ — low reach earned them almost no training.

the number = the biggest slice. the tooltip = the whole mix.

§ 3

The list — same data, sorted

LIST lays the very same holdings out as rows, strongest first: the cards up front, the mix as a labeled bar. Nothing changes but the shape — the grid is for seeing regions at a glance, the list is for reading one hand at a time.

5♣5♥4
5♣5♠4
5♣5♦4
5♣34
5♣24
5♣A4
5♣K4
5♣J4
Plate II·c Real data — the first eight holdings of the same L = 4 block, exactly as the lab's LIST draws them; each bar segment is labeled with its action and share.