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RULE 1 VS RULE 2 BOUNDARY · S2B340CP · K=3

Cockroach Pig Rule 1 vs Rule 2 Boundary [s2b340cp]: Reference Depth 2 vs Active Depth 5 → Blue (≠)

Column 6 has 5 beads. Column 3 has 2 beads. Different depth → blue (≠). In boundary comparison [s2b340cp] (r04-pair-even, depth slot 10), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) contrasts Rule 1 Boundary (New Column Row 1) at Column 7 Row 1 (Blue (≠)) against its opposite branch (Red (=)) at Borgata Atlantic City salon tables.

C3 vs Active
D2 vs D5
Rule 1 Focus
BLUE (≠)
Rule 2 Branch
RED (=)
Diagonal Slash
Lookback 3
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Boundary [s2b340cp] (2-2-2-1-2-5-2-2-2): Cockroach Pig k=3 at C7R1 vs Ref C3 (D2) → Column 6 has 5 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)
Cockroach Pig Boundary Mark #8 [s2b340cp]

Column 6 has 5 beads. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 5 beads. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

Boundary Coordinate [s2b340cp]
Cockroach Pig (k=3) · Col 7 Row 1

Shape r04-pair-even depth slot 10 on Hand #15 of 20.

Reference vs Active Depth [s2b340cp]
Ref Col 3 = 2 Beads | Active Depth = 5

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

Verbatim describeMark() [s2b340cp]
Column 6 has 5 beads. Column 3 has 2 beads. Different depth → blue (≠).

1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back. 2. Column 6 has 5 beads. Column 3 has 2 beads. Different depth → blue (≠).

Boundary Pitfall Check [s2b340cp]
Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Tracked across 13 marks on Cockroach Pig in [s2b340cp].

Ask-Road Split [s2b340cp]
Next B → BBR | Next P → RRB

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

SIDE-BY-SIDE BOUNDARY · S2B340CP

Rule 1 vs Rule 2 Boundary [s2b340cp]: Cockroach Pig k=3 at C7R1

On scoreboard [s2b340cp], Cockroach Pig with lookback offset k=3 evaluates Column 7 Row 1 (depth 5) [s2b340cpa] beside Column 3 (depth 2) at Borgata Atlantic City salon tables, confirming Blue (≠) via Rule 1 Boundary (New Column Row 1): Column 6 has 5 beads. Column 3 has 2 beads. Different depth → blue (≠).

Because Cockroach Pig [s2b340cpb1] uses lookback offset k=3 [s2b340cpb2], Hand #15 at Column 7 Row 1 (depth 5) [s2b340cpb3] references Column 3 (2 beads) [s2b340cpb4] for Blue (≠) [s2b340cpb5] with Ask-Road state B=BBR / P=RRB.

Side-by-Side Rule 1 vs Rule 2 Branch Table [s2b340cp]
BranchCoordinate PairDerived Verdict
s2b340cpf1 Active (Rule 1)s2b340cpc1 C7R1 vs C3 (D2)s2b340cpv1 Blue (≠)
s2b340cpf2 Alternate (Rule 2)s2b340cpc2 C6R6 vs C3s2b340cpv2 Red (=)
  • [s2b340cpq1] Primary branch (Rule 1) [s2b340cpq2] at C7R1 vs Ref C3 (D2) marks Blue (≠).
  • [s2b340cpq3] Opposite branch (Rule 2) [s2b340cpq4] against Ref C3 (D2) inverts to Red (=).
  • [s2b340cpq5] Trailing Ask-Road probe [s2b340cpq6] after 20 hands reads B=BBR and P=RRB.
GEOMETRIC COMPLEMENT · S2B340CP

Why Rule 1 and Rule 2 Invert at Depth 5 vs 2 [s2b340cp]

Within 20-hand shoe [s2b340cpc1], Cockroach Pig (lookback k=3) [s2b340cpc2] compares Column 7 Row 1 with Column 3 (depth 2) [s2b340cpc3] while derived symbols never denote Banker or Player [s2b340cpc4] and future hands [s2b340cpc5] stay independent.

Table Reality Check

Myth vs. Truth

MythAt boundary [s2b340cp], Cockroach Pig 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 6, the one that just finished, with Column 3. In [s2b340cp], Column 6 has 5 beads. Column 3 has 2 beads. Different depth → blue (≠).
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