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RULE 1 VS RULE 2 BOUNDARY · S2B116BEB · K=1

Big Eye Boy Rule 1 vs Rule 2 Boundary [s2b116beb]: Reference Depth 4 vs Active Depth 1 → Blue (≠)

Column 4 has 1 bead. Column 3 has 4 beads. Different depth → blue (≠). In boundary comparison [s2b116beb] (r12-quartet-twin, depth slot 6), Big Eye Boy (大眼仔 (Daai Ngaan Jai), k=1) contrasts Rule 1 Boundary (New Column Row 1) at Column 5 Row 1 (Blue (≠)) against its opposite branch (Red (=)) at Borgata Atlantic City salon tables.

C3 vs Active
D4 vs D1
Rule 1 Focus
BLUE (≠)
Rule 2 Branch
RED (=)
Hollow Circle
Lookback 1
Engine-Verified Scoreboard · 16 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P P B B B B P B B P P B B
Big Eye Boy = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ = = =
Small Road = ≠ = ≠ ≠ = ≠ ≠ ≠ =
Cockroach Pig ≠ = ≠ = ≠ ≠

Boundary [s2b116beb] (2-3-4-1-2-2-2): Big Eye Boy k=1 at C5R1 vs Ref C3 (D4) → Column 4 has 1 bead. Column 3 has 4 beads. Different depth → blue (≠).

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Big Eye Boy Boundary Mark #8 [s2b116beb]

Column 4 has 1 bead. Column 3 has 4 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 3, 1 column further back.
  2. Column 4 has 1 bead. Column 3 has 4 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

Boundary Coordinate [s2b116beb]
Big Eye Boy (k=1) · Col 5 Row 1

Shape r12-quartet-twin depth slot 6 on Hand #11 of 16.

Reference vs Active Depth [s2b116beb]
Ref Col 3 = 4 Beads | Active Depth = 1

Rule 1 Boundary (New Column Row 1) resolves Blue (≠) while the alternate branch resolves Red (=).

Verbatim describeMark() [s2b116beb]
Column 4 has 1 bead. Column 3 has 4 beads. Different depth → blue (≠).

1. Column 5 starts, so use Rule 1: compare Column 4 with Column 3, 1 column further back. 2. Column 4 has 1 bead. Column 3 has 4 beads. Different depth → blue (≠).

Boundary Pitfall Check [s2b116beb]
Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 3.

Tracked across 13 marks on Big Eye Boy in [s2b116beb].

Ask-Road Split [s2b116beb]
Next B → BBR | Next P → RRB

Rule 1 and Rule 2 produce opposite derived colors on every next-hand split.

SIDE-BY-SIDE BOUNDARY · S2B116BEB

Rule 1 vs Rule 2 Boundary [s2b116beb]: Big Eye Boy k=1 at C5R1

On scoreboard [s2b116beb], Big Eye Boy with lookback offset k=1 evaluates Column 5 Row 1 (depth 1) [s2b116beba] beside Column 3 (depth 4) at Borgata Atlantic City salon tables, confirming Blue (≠) via Rule 1 Boundary (New Column Row 1): Column 4 has 1 bead. Column 3 has 4 beads. Different depth → blue (≠).

Because Big Eye Boy [s2b116bebb1] uses lookback offset k=1 [s2b116bebb2], Hand #11 at Column 5 Row 1 (depth 1) [s2b116bebb3] references Column 3 (4 beads) [s2b116bebb4] for Blue (≠) [s2b116bebb5] with Ask-Road state B=BBR / P=RRB.

Side-by-Side Rule 1 vs Rule 2 Branch Table [s2b116beb]
BranchCoordinate PairDerived Verdict
s2b116bebf1 Active (Rule 1)s2b116bebc1 C5R1 vs C3 (D4)s2b116bebv1 Blue (≠)
s2b116bebf2 Alternate (Rule 2)s2b116bebc2 C4R2 vs C3s2b116bebv2 Red (=)
  • [s2b116bebq1] Primary branch (Rule 1) [s2b116bebq2] at C5R1 vs Ref C3 (D4) marks Blue (≠).
  • [s2b116bebq3] Opposite branch (Rule 2) [s2b116bebq4] against Ref C3 (D4) inverts to Red (=).
  • [s2b116bebq5] Trailing Ask-Road probe [s2b116bebq6] after 16 hands reads B=BBR and P=RRB.
GEOMETRIC COMPLEMENT · S2B116BEB

Why Rule 1 and Rule 2 Invert at Depth 1 vs 4 [s2b116beb]

Within 16-hand shoe [s2b116bebc1], Big Eye Boy (lookback k=1) [s2b116bebc2] compares Column 5 Row 1 with Column 3 (depth 4) [s2b116bebc3] while derived symbols never denote Banker or Player [s2b116bebc4] and future hands [s2b116bebc5] stay independent.

Table Reality Check

Myth vs. Truth

MythAt boundary [s2b116beb], Big Eye Boy can produce the same color whether the streak continues down under Rule 2 or breaks to a new column under Rule 1.
TruthComparing the wrong columns. Compare Column 4, the one that just finished, with Column 3. In [s2b116beb], Column 4 has 1 bead. Column 3 has 4 beads. Different depth → blue (≠).
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