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RULE 1 VS RULE 2 BOUNDARY · S2B039BEB · K=1

Big Eye Boy Rule 1 vs Rule 2 Boundary [s2b039beb]: Reference Depth 2 vs Active Depth 4 → Blue (≠)

Column 4 has 4 beads. Column 3 has 2 beads. Different depth → blue (≠). In boundary comparison [s2b039beb] (r04-pair-even, depth slot 9), 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 Las Vegas Strip high-limit pits.

C3 vs Active
D2 vs D4
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 P P B B P P B B B B P P B B P P
Big Eye Boy = = = = = ≠ = ≠ = ≠ = = =
Small Road = = = ≠ = ≠ = = = ≠ =
Cockroach Pig = ≠ = ≠ = = = = =

Boundary [s2b039beb] (2-2-2-4-2-2-2): Big Eye Boy k=1 at C5R1 vs Ref C3 (D2) → Column 4 has 4 beads. Column 3 has 2 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 [s2b039beb]

Column 4 has 4 beads. Column 3 has 2 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 4 beads. Column 3 has 2 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 [s2b039beb]
Big Eye Boy (k=1) · Col 5 Row 1

Shape r04-pair-even depth slot 9 on Hand #11 of 16.

Reference vs Active Depth [s2b039beb]
Ref Col 3 = 2 Beads | Active Depth = 4

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

Verbatim describeMark() [s2b039beb]
Column 4 has 4 beads. Column 3 has 2 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 4 beads. Column 3 has 2 beads. Different depth → blue (≠).

Boundary Pitfall Check [s2b039beb]
Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 3.

Tracked across 13 marks on Big Eye Boy in [s2b039beb].

Ask-Road Split [s2b039beb]
Next B → RRB | Next P → BBR

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

SIDE-BY-SIDE BOUNDARY · S2B039BEB

Rule 1 vs Rule 2 Boundary [s2b039beb]: Big Eye Boy k=1 at C5R1

Structural audit [s2b039beb] follows Big Eye Boy (k=1) on Las Vegas Strip high-limit pits boards as Hand #11 places a bead at Column 5 Row 1 [s2b039beba] opposite Column 3 (depth 2): Column 4 has 4 beads. Column 3 has 2 beads. Different depth → blue (≠).

Because Big Eye Boy [s2b039bebb1] uses lookback offset k=1 [s2b039bebb2], Hand #11 at Column 5 Row 1 (depth 4) [s2b039bebb3] references Column 3 (2 beads) [s2b039bebb4] for Blue (≠) [s2b039bebb5] with Ask-Road state B=RRB / P=BBR.

Side-by-Side Rule 1 vs Rule 2 Branch Table [s2b039beb]
BranchCoordinate PairDerived Verdict
s2b039bebf1 Active (Rule 1)s2b039bebc1 C5R1 vs C3 (D2)s2b039bebv1 Blue (≠)
s2b039bebf2 Alternate (Rule 2)s2b039bebc2 C4R5 vs C3s2b039bebv2 Red (=)
  • [s2b039bebq1] Primary branch (Rule 1) [s2b039bebq2] at C5R1 vs Ref C3 (D2) marks Blue (≠).
  • [s2b039bebq3] Opposite branch (Rule 2) [s2b039bebq4] against Ref C3 (D2) inverts to Red (=).
  • [s2b039bebq5] Trailing Ask-Road probe [s2b039bebq6] after 16 hands reads B=RRB and P=BBR.
GEOMETRIC COMPLEMENT · S2B039BEB

Why Rule 1 and Rule 2 Invert at Depth 4 vs 2 [s2b039beb]

Within 16-hand shoe [s2b039bebc1], Big Eye Boy (lookback k=1) [s2b039bebc2] compares Column 5 Row 1 with Column 3 (depth 2) [s2b039bebc3] while derived symbols never denote Banker or Player [s2b039bebc4] and future hands [s2b039bebc5] stay independent.

Table Reality Check

Myth vs. Truth

MythAt boundary [s2b039beb], 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 [s2b039beb], Column 4 has 4 beads. Column 3 has 2 beads. Different depth → blue (≠).
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