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TRANSITION GEOMETRY · S2T384CP · K=3

Cockroach Pig Multi-Column Transition [s2t384cp]: Pattern 9 Step 4 at Column 8 Row 3 → Red (=)

This bead is at Row 3. Column 5 has a bead at Row 3 too → red (=). In multi-column transition [s2t384cp] (p09-second-surge, step 4), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #20 at Column 8 Row 3 against Column 5 (depth 3) across London Mayfair private gaming rooms.

Ref C5 (D3)
C8R3
Cockroach Pig k=3
RED (=)
Hand #20/20
P9·S4
Ask B / Ask P
RRB/BBR
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Transition [s2t384cp] (2-4-1-3-3-2-2-3): Cockroach Pig k=3 Mark #12 at C8R3 → This bead is at Row 3. Column 5 has a bead at Row 3 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 #12 [s2t384cp]

This bead is at Row 3. Column 5 has a bead at Row 3 too → red (=).

  1. Column 8 goes down to Row 3, so use Rule 2: look 3 columns back, at Column 5.
  2. Column 5 has a bead at Row 3 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 5 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t384cp]
Cockroach Pig (k=3) · Col 8 Row 3

Pattern p09-second-surge step 4 on Hand #20 of 20 (2-4-1-3-3-2-2-3).

Active vs Reference [s2t384cp]
Active Col 8 (Depth 3) vs Ref Col 5 (Depth 3)

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

Engine describeMark() [s2t384cp]
This bead is at Row 3. Column 5 has a bead at Row 3 too → red (=).

1. Column 8 goes down to Row 3, so use Rule 2: look 3 columns back, at Column 5. 2. Column 5 has a bead at Row 3 too → red (=).

Learner Guardrail [s2t384cp]
Thinking "no bead at this row" means blue. It is blue only when Column 5 stopped exactly one row above this bead.

Verified against 12 total Cockroach Pig marks in [s2t384cp].

Next-Hand Ask-Road [s2t384cp]
Next B → RRB | Next P → BBR

Probed after Hand #20 across Big Eye Boy, Small Road, and Cockroach Pig.

TRANSITION PROOF · S2T384CP

Multi-Column Transition [s2t384cp]: Cockroach Pig (k=3) at C8R3 vs C5

On scoreboard [s2t384cp], Cockroach Pig with lookback offset k=3 evaluates Column 8 Row 3 (depth 3) [s2t384cpa] beside Column 5 (depth 3) at London Mayfair private gaming rooms, confirming Red (=) via Rule 2 (Continue Down): This bead is at Row 3. Column 5 has a bead at Row 3 too → red (=).

At coordinate C8R3 [s2t384cpb1], Cockroach Pig (k=3) [s2t384cpb2] tests Column 5 (depth 3) [s2t384cpb3] under Rule 2 (Continue Down) [s2t384cpb4] to confirm Red (=) [s2t384cpb5] and next-hand probes B=RRB / P=BBR.

Transition Mark Ledger [s2t384cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t384cpm1 #1s2t384cpc C4R2s2t384cpr R2 (Ref C1)s2t384cpv Red (=)
s2t384cpm2 #2s2t384cpc C4R3s2t384cpr R2 (Ref C1)s2t384cpv Blue (≠)
s2t384cpm3 #3s2t384cpc C5R1s2t384cpr R1 (Ref C1)s2t384cpv Blue (≠)
s2t384cpm4 #4s2t384cpc C5R2s2t384cpr R2 (Ref C2)s2t384cpv Red (=)
  • [s2t384cpk1] Coordinate C8R3 [s2t384cpk2] compares against Ref C5 (depth 3) on Cockroach Pig k=3.
  • [s2t384cpk3] Active column depth 3 [s2t384cpk4] triggers Rule 2 (Continue Down) on Hand #20 for Red (=).
  • [s2t384cpk5] Next-hand 問路 probe [s2t384cpk6] after 20 hands outputs B=RRB and P=BBR.
INDEPENDENCE & SYMMETRY · S2T384CP

Streak-Break Geometry Across 20 Hands [s2t384cp]

Comparing C8R3 and C5 in [s2t384cpc1] demonstrates how Cockroach Pig (k=3) [s2t384cpc2] tracks Rule 2 (Continue Down) [s2t384cpc3]; Red (=) and Blue (≠) never stand for Banker or Player [s2t384cpc4] across independent 8-deck shoes [s2t384cpc5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t384cp], Red (=) at Column 8 Row 3 on Cockroach Pig indicates whether Banker or Player won Hand #20.
TruthThinking "no bead at this row" means blue. It is blue only when Column 5 stopped exactly one row above this bead. In [s2t384cp], This bead is at Row 3. Column 5 has a bead at Row 3 too → red (=).
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