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RULE 1 VS RULE 2 BOUNDARY · S2B333CP · K=3

Cockroach Pig Rule 1 vs Rule 2 Boundary [s2b333cp]: Reference Depth 2 vs Active Depth 3 → Red (=)

This bead is at Row 4. Column 3 stopped at Row 2, more than one row above → red (=). In boundary comparison [s2b333cp] (r04-pair-even, depth slot 3), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) contrasts Rule 2 Boundary (Downward Row Continuation) at Column 6 Row 4 (Red (=)) against its opposite branch (Blue (≠)) at Las Vegas Strip high-limit pits.

C3 vs Active
D2 vs D3
Rule 2 Focus
RED (=)
Rule 1 Branch
BLUE (≠)
Diagonal Slash
Lookback 3
Engine-Verified Scoreboard · 19 Hands

Read the Board at Table Speed

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

Boundary [s2b333cp] (2-2-2-1-2-4-2-2-2): Cockroach Pig k=3 at C6R4 vs Ref C3 (D2) → This bead is at Row 4. Column 3 stopped at Row 2, more than one row above → red (=).

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 #6 [s2b333cp]

This bead is at Row 4. Column 3 stopped at Row 2, more than one row above → red (=).

  1. Column 6 goes down to Row 4, so use Rule 2: look 3 columns back, at Column 3.
  2. Column 3 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Boundary Coordinate [s2b333cp]
Cockroach Pig (k=3) · Col 6 Row 4

Shape r04-pair-even depth slot 3 on Hand #13 of 19.

Reference vs Active Depth [s2b333cp]
Ref Col 3 = 2 Beads | Active Depth = 3

Rule 2 Boundary (Downward Row Continuation) resolves Red (=) while the alternate branch resolves Blue (≠).

Verbatim describeMark() [s2b333cp]
This bead is at Row 4. Column 3 stopped at Row 2, more than one row above → red (=).

1. Column 6 goes down to Row 4, so use Rule 2: look 3 columns back, at Column 3. 2. Column 3 stopped at Row 2, more than one row above → red (=).

Boundary Pitfall Check [s2b333cp]
Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Tracked across 12 marks on Cockroach Pig in [s2b333cp].

Ask-Road Split [s2b333cp]
Next B → RRB | Next P → BBR

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

SIDE-BY-SIDE BOUNDARY · S2B333CP

Rule 1 vs Rule 2 Boundary [s2b333cp]: Cockroach Pig k=3 at C6R4

Structural audit [s2b333cp] follows Cockroach Pig (k=3) on Las Vegas Strip high-limit pits boards as Hand #13 places a bead at Column 6 Row 4 [s2b333cpa] opposite Column 3 (depth 2): This bead is at Row 4. Column 3 stopped at Row 2, more than one row above → red (=).

Because Cockroach Pig [s2b333cpb1] uses lookback offset k=3 [s2b333cpb2], Hand #13 at Column 6 Row 4 (depth 3) [s2b333cpb3] references Column 3 (2 beads) [s2b333cpb4] for Red (=) [s2b333cpb5] with Ask-Road state B=RRB / P=BBR.

Side-by-Side Rule 1 vs Rule 2 Branch Table [s2b333cp]
BranchCoordinate PairDerived Verdict
s2b333cpf1 Active (Rule 2)s2b333cpc1 C6R4 vs C3 (D2)s2b333cpv1 Red (=)
s2b333cpf2 Alternate (Rule 1)s2b333cpc2 C7R1 vs C3s2b333cpv2 Blue (≠)
  • [s2b333cpq1] Primary branch (Rule 2) [s2b333cpq2] at C6R4 vs Ref C3 (D2) marks Red (=).
  • [s2b333cpq3] Opposite branch (Rule 1) [s2b333cpq4] against Ref C3 (D2) inverts to Blue (≠).
  • [s2b333cpq5] Trailing Ask-Road probe [s2b333cpq6] after 19 hands reads B=RRB and P=BBR.
GEOMETRIC COMPLEMENT · S2B333CP

Why Rule 1 and Rule 2 Invert at Depth 3 vs 2 [s2b333cp]

Within 19-hand shoe [s2b333cpc1], Cockroach Pig (lookback k=3) [s2b333cpc2] compares Column 6 Row 4 with Column 3 (depth 2) [s2b333cpc3] while derived symbols never denote Banker or Player [s2b333cpc4] and future hands [s2b333cpc5] stay independent.

Table Reality Check

Myth vs. Truth

MythAt boundary [s2b333cp], Cockroach Pig can produce the same color whether the streak continues down under Rule 2 or breaks to a new column under Rule 1.
TruthThinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead. In [s2b333cp], This bead is at Row 4. Column 3 stopped at Row 2, more than one row above → red (=).
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