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TRANSITION GEOMETRY · S2T307CP · K=3

Cockroach Pig Multi-Column Transition [s2t307cp]: Pattern 1 Step 7 at Column 6 Row 3 → Red (=)

This bead is at Row 3. Column 3 stopped at Row 1, more than one row above → red (=). In multi-column transition [s2t307cp] (p01-paired-climb, step 7), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #13 at Column 6 Row 3 against Column 3 (depth 1) across Solaire Resort Manila display grids.

Ref C3 (D1)
C6R3
Cockroach Pig k=3
RED (=)
Hand #13/19
P1·S7
Ask B / Ask P
BRB/RBR
Engine-Verified Scoreboard · 19 Hands

Read the Board at Table Speed

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

Transition [s2t307cp] (2-2-1-3-2-4-1-4): Cockroach Pig k=3 Mark #7 at C6R3 → This bead is at Row 3. Column 3 stopped at Row 1, 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 Mark #7 [s2t307cp]

This bead is at Row 3. Column 3 stopped at Row 1, more than one row above → red (=).

  1. Column 6 goes down to Row 3, so use Rule 2: look 3 columns back, at Column 3.
  2. Column 3 stopped at Row 1, 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

Transition Coordinate [s2t307cp]
Cockroach Pig (k=3) · Col 6 Row 3

Pattern p01-paired-climb step 7 on Hand #13 of 19 (2-2-1-3-2-4-1-4).

Active vs Reference [s2t307cp]
Active Col 6 (Depth 4) vs Ref Col 3 (Depth 1)

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

Engine describeMark() [s2t307cp]
This bead is at Row 3. Column 3 stopped at Row 1, more than one row above → red (=).

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

Learner Guardrail [s2t307cp]
Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Verified against 13 total Cockroach Pig marks in [s2t307cp].

Next-Hand Ask-Road [s2t307cp]
Next B → BRB | Next P → RBR

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

TRANSITION PROOF · S2T307CP

Multi-Column Transition [s2t307cp]: Cockroach Pig (k=3) at C6R3 vs C3

On scoreboard [s2t307cp], Cockroach Pig with lookback offset k=3 evaluates Column 6 Row 3 (depth 4) [s2t307cpa] beside Column 3 (depth 1) at Solaire Resort Manila display grids, confirming Red (=) via Rule 2 (Continue Down): This bead is at Row 3. Column 3 stopped at Row 1, more than one row above → red (=).

At coordinate C6R3 [s2t307cpb1], Cockroach Pig (k=3) [s2t307cpb2] tests Column 3 (depth 1) [s2t307cpb3] under Rule 2 (Continue Down) [s2t307cpb4] to confirm Red (=) [s2t307cpb5] and next-hand probes B=BRB / P=RBR.

Transition Mark Ledger [s2t307cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t307cpm1 #1s2t307cpc C4R2s2t307cpr R2 (Ref C1)s2t307cpv Red (=)
s2t307cpm2 #2s2t307cpc C4R3s2t307cpr R2 (Ref C1)s2t307cpv Blue (≠)
s2t307cpm3 #3s2t307cpc C5R1s2t307cpr R1 (Ref C1)s2t307cpv Blue (≠)
s2t307cpm4 #4s2t307cpc C5R2s2t307cpr R2 (Ref C2)s2t307cpv Red (=)
  • [s2t307cpk1] Coordinate C6R3 [s2t307cpk2] compares against Ref C3 (depth 1) on Cockroach Pig k=3.
  • [s2t307cpk3] Active column depth 4 [s2t307cpk4] triggers Rule 2 (Continue Down) on Hand #13 for Red (=).
  • [s2t307cpk5] Next-hand 問路 probe [s2t307cpk6] after 19 hands outputs B=BRB and P=RBR.
INDEPENDENCE & SYMMETRY · S2T307CP

Streak-Break Geometry Across 19 Hands [s2t307cp]

Comparing C6R3 and C3 in [s2t307cpc1] demonstrates how Cockroach Pig (k=3) [s2t307cpc2] tracks Rule 2 (Continue Down) [s2t307cpc3]; Red (=) and Blue (≠) never stand for Banker or Player [s2t307cpc4] across independent 8-deck shoes [s2t307cpc5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t307cp], Red (=) at Column 6 Row 3 on Cockroach Pig indicates whether Banker or Player won Hand #13.
TruthThinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead. In [s2t307cp], This bead is at Row 3. Column 3 stopped at Row 1, more than one row above → red (=).
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