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TRANSITION GEOMETRY · S2T342CP · K=3

Cockroach Pig Multi-Column Transition [s2t342cp]: Pattern 5 Step 2 at Column 7 Row 1 → Red (=)

Column 6 has 3 beads. Column 3 has 3 beads. Same depth → red (=). In multi-column transition [s2t342cp] (p05-ascending-taper, step 2), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #16 at Column 7 Row 1 against Column 3 (depth 3) across London Mayfair private gaming rooms.

Ref C3 (D3)
C7R1
Cockroach Pig k=3
RED (=)
Hand #16/19
P5·S2
Ask B / Ask P
RRB/BBR
Engine-Verified Scoreboard · 19 Hands

Read the Board at Table Speed

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

Transition [s2t342cp] (2-4-3-2-1-3-3-1): Cockroach Pig k=3 Mark #6 at C7R1 → Column 6 has 3 beads. Column 3 has 3 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 #6 [s2t342cp]

Column 6 has 3 beads. Column 3 has 3 beads. Same depth → red (=).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 3 beads. Column 3 has 3 beads. Same depth → red (=).

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

Transition Coordinate [s2t342cp]
Cockroach Pig (k=3) · Col 7 Row 1

Pattern p05-ascending-taper step 2 on Hand #16 of 19 (2-4-3-2-1-3-3-1).

Active vs Reference [s2t342cp]
Active Col 7 (Depth 3) vs Ref Col 3 (Depth 3)

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

Engine describeMark() [s2t342cp]
Column 6 has 3 beads. Column 3 has 3 beads. Same depth → red (=).

1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back. 2. Column 6 has 3 beads. Column 3 has 3 beads. Same depth → red (=).

Learner Guardrail [s2t342cp]
Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified against 9 total Cockroach Pig marks in [s2t342cp].

Next-Hand Ask-Road [s2t342cp]
Next B → RRB | Next P → BBR

Probed after Hand #19 across Big Eye Boy, Small Road, and Cockroach Pig.

TRANSITION PROOF · S2T342CP

Multi-Column Transition [s2t342cp]: Cockroach Pig (k=3) at C7R1 vs C3

On scoreboard [s2t342cp], Cockroach Pig with lookback offset k=3 evaluates Column 7 Row 1 (depth 3) [s2t342cpa] beside Column 3 (depth 3) at London Mayfair private gaming rooms, confirming Red (=) via Rule 1 (New Column): Column 6 has 3 beads. Column 3 has 3 beads. Same depth → red (=).

At coordinate C7R1 [s2t342cpb1], Cockroach Pig (k=3) [s2t342cpb2] tests Column 3 (depth 3) [s2t342cpb3] under Rule 1 (New Column) [s2t342cpb4] to confirm Red (=) [s2t342cpb5] and next-hand probes B=RRB / P=BBR.

Transition Mark Ledger [s2t342cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t342cpm1 #1s2t342cpc C4R2s2t342cpr R2 (Ref C1)s2t342cpv Red (=)
s2t342cpm2 #2s2t342cpc C5R1s2t342cpr R1 (Ref C1)s2t342cpv Red (=)
s2t342cpm3 #3s2t342cpc C6R1s2t342cpr R1 (Ref C2)s2t342cpv Blue (≠)
s2t342cpm4 #4s2t342cpc C6R2s2t342cpr R2 (Ref C3)s2t342cpv Red (=)
  • [s2t342cpk1] Coordinate C7R1 [s2t342cpk2] compares against Ref C3 (depth 3) on Cockroach Pig k=3.
  • [s2t342cpk3] Active column depth 3 [s2t342cpk4] triggers Rule 1 (New Column) on Hand #16 for Red (=).
  • [s2t342cpk5] Next-hand 問路 probe [s2t342cpk6] after 19 hands outputs B=RRB and P=BBR.
INDEPENDENCE & SYMMETRY · S2T342CP

Streak-Break Geometry Across 19 Hands [s2t342cp]

Comparing C7R1 and C3 in [s2t342cpc1] demonstrates how Cockroach Pig (k=3) [s2t342cpc2] tracks Rule 1 (New Column) [s2t342cpc3]; Red (=) and Blue (≠) never stand for Banker or Player [s2t342cpc4] across independent 8-deck shoes [s2t342cpc5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t342cp], Red (=) at Column 7 Row 1 on Cockroach Pig indicates whether Banker or Player won Hand #16.
TruthComparing the wrong columns. Compare Column 6, the one that just finished, with Column 3. In [s2t342cp], Column 6 has 3 beads. Column 3 has 3 beads. Same depth → red (=).
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