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TRANSITION GEOMETRY · S2T419CP · K=3

Cockroach Pig Multi-Column Transition [s2t419cp]: Pattern 12 Step 9 at Column 7 Row 4 → Red (=)

This bead is at Row 4. Column 4 stopped at Row 2, more than one row above → red (=). In multi-column transition [s2t419cp] (p12-escalating-run, step 9), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #19 at Column 7 Row 4 against Column 4 (depth 2) across Solaire Resort Manila display grids.

Ref C4 (D2)
C7R4
Cockroach Pig k=3
RED (=)
Hand #19/21
P12·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 B B B B P P B B B P B B B B P P
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ = = ≠ =
Small Road = ≠ = ≠ = ≠ = = ≠ ≠ = = ≠ ≠ ≠
Cockroach Pig = = = = = ≠ = ≠ = ≠ =

Transition [s2t419cp] (2-3-4-2-3-1-4-2): Cockroach Pig k=3 Mark #9 at C7R4 → This bead is at Row 4. Column 4 stopped at Row 2, 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 #9 [s2t419cp]

This bead is at Row 4. Column 4 stopped at Row 2, more than one row above → red (=).

  1. Column 7 goes down to Row 4, so use Rule 2: look 3 columns back, at Column 4.
  2. Column 4 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 4 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t419cp]
Cockroach Pig (k=3) · Col 7 Row 4

Pattern p12-escalating-run step 9 on Hand #19 of 21 (2-3-4-2-3-1-4-2).

Active vs Reference [s2t419cp]
Active Col 7 (Depth 4) vs Ref Col 4 (Depth 2)

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

Engine describeMark() [s2t419cp]
This bead is at Row 4. Column 4 stopped at Row 2, more than one row above → red (=).

1. Column 7 goes down to Row 4, so use Rule 2: look 3 columns back, at Column 4. 2. Column 4 stopped at Row 2, more than one row above → red (=).

Learner Guardrail [s2t419cp]
Thinking "no bead at this row" means blue. It is blue only when Column 4 stopped exactly one row above this bead.

Verified against 11 total Cockroach Pig marks in [s2t419cp].

Next-Hand Ask-Road [s2t419cp]
Next B → BBB | Next P → RRR

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

TRANSITION PROOF · S2T419CP

Multi-Column Transition [s2t419cp]: Cockroach Pig (k=3) at C7R4 vs C4

Structural audit [s2t419cp] follows Cockroach Pig (k=3) on Solaire Resort Manila display grids boards as Hand #19 places a bead at Column 7 Row 4 [s2t419cpa] opposite Column 4 (depth 2): This bead is at Row 4. Column 4 stopped at Row 2, more than one row above → red (=).

At coordinate C7R4 [s2t419cpb1], Cockroach Pig (k=3) [s2t419cpb2] tests Column 4 (depth 2) [s2t419cpb3] under Rule 2 (Continue Down) [s2t419cpb4] to confirm Red (=) [s2t419cpb5] and next-hand probes B=BBB / P=RRR.

Transition Mark Ledger [s2t419cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t419cpm1 #1s2t419cpc C4R2s2t419cpr R2 (Ref C1)s2t419cpv Red (=)
s2t419cpm2 #2s2t419cpc C5R1s2t419cpr R1 (Ref C1)s2t419cpv Red (=)
s2t419cpm3 #3s2t419cpc C5R2s2t419cpr R2 (Ref C2)s2t419cpv Red (=)
s2t419cpm4 #4s2t419cpc C5R3s2t419cpr R2 (Ref C2)s2t419cpv Red (=)
  • [s2t419cpk1] Coordinate C7R4 [s2t419cpk2] compares against Ref C4 (depth 2) on Cockroach Pig k=3.
  • [s2t419cpk3] Active column depth 4 [s2t419cpk4] triggers Rule 2 (Continue Down) on Hand #19 for Red (=).
  • [s2t419cpk5] Next-hand 問路 probe [s2t419cpk6] after 21 hands outputs B=BBB and P=RRR.
INDEPENDENCE & SYMMETRY · S2T419CP

Streak-Break Geometry Across 21 Hands [s2t419cp]

Board profile 2-3-4-2-3-1-4-2 [s2t419cpc1] illustrates that Cockroach Pig (k=3) [s2t419cpc2] at Column 7 Row 4 vs Column 4 [s2t419cpc3] measures historical alignment; derived colors never mean Banker or Player [s2t419cpc4] and 8-deck hands [s2t419cpc5] are independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t419cp], Red (=) at Column 7 Row 4 on Cockroach Pig indicates whether Banker or Player won Hand #19.
TruthThinking "no bead at this row" means blue. It is blue only when Column 4 stopped exactly one row above this bead. In [s2t419cp], This bead is at Row 4. Column 4 stopped at Row 2, more than one row above → red (=).
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