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TRANSITION GEOMETRY · S2T321CP · K=3

Cockroach Pig Multi-Column Transition [s2t321cp]: Pattern 3 Step 1 at Column 5 Row 2 → Red (=)

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=). In multi-column transition [s2t321cp] (p03-double-bridge, step 1), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #11 at Column 5 Row 2 against Column 2 (depth 3) across Solaire Resort Manila display grids.

Ref C2 (D3)
C5R2
Cockroach Pig k=3
RED (=)
Hand #11/18
P3·S1
Ask B / Ask P
RBB/BRR
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Transition [s2t321cp] (2-3-2-2-4-1-2-2): Cockroach Pig k=3 Mark #3 at C5R2 → This bead is at Row 2. Column 2 has a bead at Row 2 too → 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 Mark #3 [s2t321cp]

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t321cp]
Cockroach Pig (k=3) · Col 5 Row 2

Pattern p03-double-bridge step 1 on Hand #11 of 18 (2-3-2-2-4-1-2-2).

Active vs Reference [s2t321cp]
Active Col 5 (Depth 4) vs Ref Col 2 (Depth 3)

Governed by Rule 2 (Continue Down) with lookback offset k=3.

Engine describeMark() [s2t321cp]
This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2. 2. Column 2 has a bead at Row 2 too → red (=).

Learner Guardrail [s2t321cp]
Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Verified against 10 total Cockroach Pig marks in [s2t321cp].

Next-Hand Ask-Road [s2t321cp]
Next B → RBB | Next P → BRR

Probed after Hand #18 across Big Eye Boy, Small Road, and Cockroach Pig.

TRANSITION PROOF · S2T321CP

Multi-Column Transition [s2t321cp]: Cockroach Pig (k=3) at C5R2 vs C2

On scoreboard [s2t321cp], Cockroach Pig with lookback offset k=3 evaluates Column 5 Row 2 (depth 4) [s2t321cpa] beside Column 2 (depth 3) at Solaire Resort Manila display grids, confirming Red (=) via Rule 2 (Continue Down): This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

At coordinate C5R2 [s2t321cpb1], Cockroach Pig (k=3) [s2t321cpb2] tests Column 2 (depth 3) [s2t321cpb3] under Rule 2 (Continue Down) [s2t321cpb4] to confirm Red (=) [s2t321cpb5] and next-hand probes B=RBB / P=BRR.

Transition Mark Ledger [s2t321cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t321cpm1 #1s2t321cpc C4R2s2t321cpr R2 (Ref C1)s2t321cpv Red (=)
s2t321cpm2 #2s2t321cpc C5R1s2t321cpr R1 (Ref C1)s2t321cpv Red (=)
s2t321cpm3 #3s2t321cpc C5R2s2t321cpr R2 (Ref C2)s2t321cpv Red (=)
s2t321cpm4 #4s2t321cpc C5R3s2t321cpr R2 (Ref C2)s2t321cpv Red (=)
  • [s2t321cpk1] Coordinate C5R2 [s2t321cpk2] compares against Ref C2 (depth 3) on Cockroach Pig k=3.
  • [s2t321cpk3] Active column depth 4 [s2t321cpk4] triggers Rule 2 (Continue Down) on Hand #11 for Red (=).
  • [s2t321cpk5] Next-hand 問路 probe [s2t321cpk6] after 18 hands outputs B=RBB and P=BRR.
INDEPENDENCE & SYMMETRY · S2T321CP

Streak-Break Geometry Across 18 Hands [s2t321cp]

Comparing C5R2 and C2 in [s2t321cpc1] demonstrates how Cockroach Pig (k=3) [s2t321cpc2] tracks Rule 2 (Continue Down) [s2t321cpc3]; Red (=) and Blue (≠) never stand for Banker or Player [s2t321cpc4] across independent 8-deck shoes [s2t321cpc5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t321cp], Red (=) at Column 5 Row 2 on Cockroach Pig indicates whether Banker or Player won Hand #11.
TruthThinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead. In [s2t321cp], This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
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