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TRANSITION GEOMETRY · S2T349CP · K=3

Cockroach Pig Multi-Column Transition [s2t349cp]: Pattern 5 Step 9 at Column 5 Row 1 → Red (=)

Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=). In multi-column transition [s2t349cp] (p05-ascending-taper, step 9), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #12 at Column 5 Row 1 against Column 1 (depth 2) across Solaire Resort Manila display grids.

Ref C1 (D2)
C5R1
Cockroach Pig k=3
RED (=)
Hand #12/21
P5·S9
Ask B / Ask P
BBB/RRR
Engine-Verified Scoreboard · 21 Hands

Read the Board at Table Speed

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

Transition [s2t349cp] (2-4-3-2-1-3-4-2): Cockroach Pig k=3 Mark #2 at C5R1 → Column 4 has 2 beads. Column 1 has 2 beads. Same depth → 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 #2 [s2t349cp]

Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t349cp]
Cockroach Pig (k=3) · Col 5 Row 1

Pattern p05-ascending-taper step 9 on Hand #12 of 21 (2-4-3-2-1-3-4-2).

Active vs Reference [s2t349cp]
Active Col 5 (Depth 1) vs Ref Col 1 (Depth 2)

Governed by Rule 1 (New Column) with lookback offset k=3.

Engine describeMark() [s2t349cp]
Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back. 2. Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Learner Guardrail [s2t349cp]
Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified against 11 total Cockroach Pig marks in [s2t349cp].

Next-Hand Ask-Road [s2t349cp]
Next B → BBB | Next P → RRR

Probed after Hand #21 across Big Eye Boy, Small Road, and Cockroach Pig.

TRANSITION PROOF · S2T349CP

Multi-Column Transition [s2t349cp]: Cockroach Pig (k=3) at C5R1 vs C1

On scoreboard [s2t349cp], Cockroach Pig with lookback offset k=3 evaluates Column 5 Row 1 (depth 1) [s2t349cpa] beside Column 1 (depth 2) at Solaire Resort Manila display grids, confirming Red (=) via Rule 1 (New Column): Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

At coordinate C5R1 [s2t349cpb1], Cockroach Pig (k=3) [s2t349cpb2] tests Column 1 (depth 2) [s2t349cpb3] under Rule 1 (New Column) [s2t349cpb4] to confirm Red (=) [s2t349cpb5] and next-hand probes B=BBB / P=RRR.

Transition Mark Ledger [s2t349cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t349cpm1 #1s2t349cpc C4R2s2t349cpr R2 (Ref C1)s2t349cpv Red (=)
s2t349cpm2 #2s2t349cpc C5R1s2t349cpr R1 (Ref C1)s2t349cpv Red (=)
s2t349cpm3 #3s2t349cpc C6R1s2t349cpr R1 (Ref C2)s2t349cpv Blue (≠)
s2t349cpm4 #4s2t349cpc C6R2s2t349cpr R2 (Ref C3)s2t349cpv Red (=)
  • [s2t349cpk1] Coordinate C5R1 [s2t349cpk2] compares against Ref C1 (depth 2) on Cockroach Pig k=3.
  • [s2t349cpk3] Active column depth 1 [s2t349cpk4] triggers Rule 1 (New Column) on Hand #12 for Red (=).
  • [s2t349cpk5] Next-hand 問路 probe [s2t349cpk6] after 21 hands outputs B=BBB and P=RRR.
INDEPENDENCE & SYMMETRY · S2T349CP

Streak-Break Geometry Across 21 Hands [s2t349cp]

Comparing C5R1 and C1 in [s2t349cpc1] demonstrates how Cockroach Pig (k=3) [s2t349cpc2] tracks Rule 1 (New Column) [s2t349cpc3]; Red (=) and Blue (≠) never stand for Banker or Player [s2t349cpc4] across independent 8-deck shoes [s2t349cpc5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t349cp], Red (=) at Column 5 Row 1 on Cockroach Pig indicates whether Banker or Player won Hand #12.
TruthComparing the wrong columns. Compare Column 4, the one that just finished, with Column 1. In [s2t349cp], Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
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