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RULE 1 VS RULE 2 BOUNDARY · S2B319CP · K=3

Cockroach Pig Rule 1 vs Rule 2 Boundary [s2b319cp]: Reference Depth 1 vs Active Depth 4 → Blue (≠)

Column 6 has 4 beads. Column 3 has 1 bead. Different depth → blue (≠). In boundary comparison [s2b319cp] (r02-single-step, depth slot 9), 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 Las Vegas Strip high-limit pits.

C3 vs Active
D1 vs D4
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 P P P B B P B P P P B B B B P P B B P P
Big Eye Boy = ≠ ≠ = ≠ = ≠ = = ≠ ≠ = ≠ = = =
Small Road ≠ ≠ ≠ = ≠ ≠ = = ≠ = ≠ = ≠ =
Cockroach Pig ≠ = ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ =

Boundary [s2b319cp] (3-2-1-1-3-4-2-2-2): Cockroach Pig k=3 at C7R1 vs Ref C3 (D1) → Column 6 has 4 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)
Cockroach Pig Boundary Mark #8 [s2b319cp]

Column 6 has 4 beads. Column 3 has 1 bead. 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 4 beads. Column 3 has 1 bead. 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 [s2b319cp]
Cockroach Pig (k=3) · Col 7 Row 1

Shape r02-single-step depth slot 9 on Hand #15 of 20.

Reference vs Active Depth [s2b319cp]
Ref Col 3 = 1 Bead | Active Depth = 4

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

Verbatim describeMark() [s2b319cp]
Column 6 has 4 beads. Column 3 has 1 bead. 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 4 beads. Column 3 has 1 bead. Different depth → blue (≠).

Boundary Pitfall Check [s2b319cp]
Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Tracked across 13 marks on Cockroach Pig in [s2b319cp].

Ask-Road Split [s2b319cp]
Next B → RRB | Next P → BBR

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

SIDE-BY-SIDE BOUNDARY · S2B319CP

Rule 1 vs Rule 2 Boundary [s2b319cp]: Cockroach Pig k=3 at C7R1

Structural audit [s2b319cp] follows Cockroach Pig (k=3) on Las Vegas Strip high-limit pits boards as Hand #15 places a bead at Column 7 Row 1 [s2b319cpa] opposite Column 3 (depth 1): Column 6 has 4 beads. Column 3 has 1 bead. Different depth → blue (≠).

Because Cockroach Pig [s2b319cpb1] uses lookback offset k=3 [s2b319cpb2], Hand #15 at Column 7 Row 1 (depth 4) [s2b319cpb3] references Column 3 (1 beads) [s2b319cpb4] for Blue (≠) [s2b319cpb5] with Ask-Road state B=RRB / P=BBR.

Side-by-Side Rule 1 vs Rule 2 Branch Table [s2b319cp]
BranchCoordinate PairDerived Verdict
s2b319cpf1 Active (Rule 1)s2b319cpc1 C7R1 vs C3 (D1)s2b319cpv1 Blue (≠)
s2b319cpf2 Alternate (Rule 2)s2b319cpc2 C6R5 vs C3s2b319cpv2 Red (=)
  • [s2b319cpq1] Primary branch (Rule 1) [s2b319cpq2] at C7R1 vs Ref C3 (D1) marks Blue (≠).
  • [s2b319cpq3] Opposite branch (Rule 2) [s2b319cpq4] against Ref C3 (D1) inverts to Red (=).
  • [s2b319cpq5] Trailing Ask-Road probe [s2b319cpq6] after 20 hands reads B=RRB and P=BBR.
GEOMETRIC COMPLEMENT · S2B319CP

Why Rule 1 and Rule 2 Invert at Depth 4 vs 1 [s2b319cp]

Within 20-hand shoe [s2b319cpc1], Cockroach Pig (lookback k=3) [s2b319cpc2] compares Column 7 Row 1 with Column 3 (depth 1) [s2b319cpc3] while derived symbols never denote Banker or Player [s2b319cpc4] and future hands [s2b319cpc5] stay independent.

Table Reality Check

Myth vs. Truth

MythAt boundary [s2b319cp], 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 [s2b319cp], Column 6 has 4 beads. Column 3 has 1 bead. Different depth → blue (≠).
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