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RULE 1 VS RULE 2 BOUNDARY · S2B018BEB · K=1

Big Eye Boy Rule 1 vs Rule 2 Boundary [s2b018beb]: Reference Depth 1 vs Active Depth 3 → Blue (≠)

Column 4 has 3 beads. Column 3 has 1 bead. Different depth → blue (≠). In boundary comparison [s2b018beb] (r02-single-step, depth slot 8), 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
D1 vs D3
Rule 1 Focus
BLUE (≠)
Rule 2 Branch
RED (=)
Hollow Circle
Lookback 1
Engine-Verified Scoreboard · 15 Hands

Read the Board at Table Speed

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

Boundary [s2b018beb] (3-2-1-3-2-2-2): Big Eye Boy k=1 at C5R1 vs Ref C3 (D1) → Column 4 has 3 beads. Column 3 has 1 bead. 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 #6 [s2b018beb]

Column 4 has 3 beads. Column 3 has 1 bead. 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 3 beads. Column 3 has 1 bead. 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 [s2b018beb]
Big Eye Boy (k=1) · Col 5 Row 1

Shape r02-single-step depth slot 8 on Hand #10 of 15.

Reference vs Active Depth [s2b018beb]
Ref Col 3 = 1 Bead | Active Depth = 3

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

Verbatim describeMark() [s2b018beb]
Column 4 has 3 beads. Column 3 has 1 bead. 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 3 beads. Column 3 has 1 bead. Different depth → blue (≠).

Boundary Pitfall Check [s2b018beb]
Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 3.

Tracked across 11 marks on Big Eye Boy in [s2b018beb].

Ask-Road Split [s2b018beb]
Next B → BBR | Next P → RRB

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

SIDE-BY-SIDE BOUNDARY · S2B018BEB

Rule 1 vs Rule 2 Boundary [s2b018beb]: Big Eye Boy k=1 at C5R1

On scoreboard [s2b018beb], Big Eye Boy with lookback offset k=1 evaluates Column 5 Row 1 (depth 3) [s2b018beba] beside Column 3 (depth 1) at Borgata Atlantic City salon tables, confirming Blue (≠) via Rule 1 Boundary (New Column Row 1): Column 4 has 3 beads. Column 3 has 1 bead. Different depth → blue (≠).

Because Big Eye Boy [s2b018bebb1] uses lookback offset k=1 [s2b018bebb2], Hand #10 at Column 5 Row 1 (depth 3) [s2b018bebb3] references Column 3 (1 beads) [s2b018bebb4] for Blue (≠) [s2b018bebb5] with Ask-Road state B=BBR / P=RRB.

Side-by-Side Rule 1 vs Rule 2 Branch Table [s2b018beb]
BranchCoordinate PairDerived Verdict
s2b018bebf1 Active (Rule 1)s2b018bebc1 C5R1 vs C3 (D1)s2b018bebv1 Blue (≠)
s2b018bebf2 Alternate (Rule 2)s2b018bebc2 C4R4 vs C3s2b018bebv2 Red (=)
  • [s2b018bebq1] Primary branch (Rule 1) [s2b018bebq2] at C5R1 vs Ref C3 (D1) marks Blue (≠).
  • [s2b018bebq3] Opposite branch (Rule 2) [s2b018bebq4] against Ref C3 (D1) inverts to Red (=).
  • [s2b018bebq5] Trailing Ask-Road probe [s2b018bebq6] after 15 hands reads B=BBR and P=RRB.
GEOMETRIC COMPLEMENT · S2B018BEB

Why Rule 1 and Rule 2 Invert at Depth 3 vs 1 [s2b018beb]

Within 15-hand shoe [s2b018bebc1], Big Eye Boy (lookback k=1) [s2b018bebc2] compares Column 5 Row 1 with Column 3 (depth 1) [s2b018bebc3] while derived symbols never denote Banker or Player [s2b018bebc4] and future hands [s2b018bebc5] stay independent.

Table Reality Check

Myth vs. Truth

MythAt boundary [s2b018beb], 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 [s2b018beb], Column 4 has 3 beads. Column 3 has 1 bead. Different depth → blue (≠).
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