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TRANSITION GEOMETRY · S2T447CP · K=3

Cockroach Pig Multi-Column Transition [s2t447cp]: Pattern 15 Step 7 at Column 6 Row 2 → Red (=)

This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=). In multi-column transition [s2t447cp] (p15-stepped-pair, step 7), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #16 at Column 6 Row 2 against Column 3 (depth 3) across Solaire Resort Manila display grids.

Ref C3 (D3)
C6R2
Cockroach Pig k=3
RED (=)
Hand #16/21
P15·S7
Ask B / Ask P
BBR/RRB
Engine-Verified Scoreboard · 21 Hands

Read the Board at Table Speed

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

Transition [s2t447cp] (2-2-3-3-4-2-1-4): Cockroach Pig k=3 Mark #8 at C6R2 → This bead is at Row 2. Column 3 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 #8 [s2t447cp]

This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 3.
  2. Column 3 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 3 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t447cp]
Cockroach Pig (k=3) · Col 6 Row 2

Pattern p15-stepped-pair step 7 on Hand #16 of 21 (2-2-3-3-4-2-1-4).

Active vs Reference [s2t447cp]
Active Col 6 (Depth 2) vs Ref Col 3 (Depth 3)

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

Engine describeMark() [s2t447cp]
This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).

1. Column 6 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 3. 2. Column 3 has a bead at Row 2 too → red (=).

Learner Guardrail [s2t447cp]
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 [s2t447cp].

Next-Hand Ask-Road [s2t447cp]
Next B → BBR | Next P → RRB

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

TRANSITION PROOF · S2T447CP

Multi-Column Transition [s2t447cp]: Cockroach Pig (k=3) at C6R2 vs C3

On scoreboard [s2t447cp], Cockroach Pig with lookback offset k=3 evaluates Column 6 Row 2 (depth 2) [s2t447cpa] beside Column 3 (depth 3) at Solaire Resort Manila display grids, confirming Red (=) via Rule 2 (Continue Down): This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).

At coordinate C6R2 [s2t447cpb1], Cockroach Pig (k=3) [s2t447cpb2] tests Column 3 (depth 3) [s2t447cpb3] under Rule 2 (Continue Down) [s2t447cpb4] to confirm Red (=) [s2t447cpb5] and next-hand probes B=BBR / P=RRB.

Transition Mark Ledger [s2t447cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t447cpm1 #1s2t447cpc C4R2s2t447cpr R2 (Ref C1)s2t447cpv Red (=)
s2t447cpm2 #2s2t447cpc C4R3s2t447cpr R2 (Ref C1)s2t447cpv Blue (≠)
s2t447cpm3 #3s2t447cpc C5R1s2t447cpr R1 (Ref C1)s2t447cpv Blue (≠)
s2t447cpm4 #4s2t447cpc C5R2s2t447cpr R2 (Ref C2)s2t447cpv Red (=)
  • [s2t447cpk1] Coordinate C6R2 [s2t447cpk2] compares against Ref C3 (depth 3) on Cockroach Pig k=3.
  • [s2t447cpk3] Active column depth 2 [s2t447cpk4] triggers Rule 2 (Continue Down) on Hand #16 for Red (=).
  • [s2t447cpk5] Next-hand 問路 probe [s2t447cpk6] after 21 hands outputs B=BBR and P=RRB.
INDEPENDENCE & SYMMETRY · S2T447CP

Streak-Break Geometry Across 21 Hands [s2t447cp]

Comparing C6R2 and C3 in [s2t447cpc1] demonstrates how Cockroach Pig (k=3) [s2t447cpc2] tracks Rule 2 (Continue Down) [s2t447cpc3]; Red (=) and Blue (≠) never stand for Banker or Player [s2t447cpc4] across independent 8-deck shoes [s2t447cpc5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t447cp], Red (=) at Column 6 Row 2 on Cockroach Pig indicates whether Banker or Player won Hand #16.
TruthThinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead. In [s2t447cp], This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).
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