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TRANSITION GEOMETRY · S2T401CP · K=3

Cockroach Pig Multi-Column Transition [s2t401cp]: Pattern 11 Step 1 at Column 5 Row 2 → Red (=)

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=). In multi-column transition [s2t401cp] (p11-stair-rebound, step 1), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #12 at Column 5 Row 2 against Column 2 (depth 3) across Wynn Palace Cotai floor monitors.

Ref C2 (D3)
C5R2
Cockroach Pig k=3
RED (=)
Hand #12/19
P11·S1
Ask B / Ask P
RBR/BRB
Engine-Verified Scoreboard · 19 Hands

Read the Board at Table Speed

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

Transition [s2t401cp] (4-3-2-1-2-3-2-2): Cockroach Pig k=3 Mark #2 at C5R2 → This bead is at Row 2. Column 2 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 #2 [s2t401cp]

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 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 2 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t401cp]
Cockroach Pig (k=3) · Col 5 Row 2

Pattern p11-stair-rebound step 1 on Hand #12 of 19 (4-3-2-1-2-3-2-2).

Active vs Reference [s2t401cp]
Active Col 5 (Depth 2) vs Ref Col 2 (Depth 3)

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

Engine describeMark() [s2t401cp]
This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

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

Learner Guardrail [s2t401cp]
Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Verified against 9 total Cockroach Pig marks in [s2t401cp].

Next-Hand Ask-Road [s2t401cp]
Next B → RBR | Next P → BRB

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

TRANSITION PROOF · S2T401CP

Multi-Column Transition [s2t401cp]: Cockroach Pig (k=3) at C5R2 vs C2

At Hand #12 in sequence [s2t401cp] (4-3-2-1-2-3-2-2), Cockroach Pig (k=3) resolves Column 5 Row 2 [s2t401cpa] relative to Column 2 (depth 3) on Wynn Palace Cotai floor monitors displays: This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

Comparing Column 5 Row 2 [s2t401cpb1] with lookback k=3 Column 2 (depth 3) [s2t401cpb2] on Cockroach Pig [s2t401cpb3] produces Red (=) via Rule 2 (Continue Down) [s2t401cpb4], and the 問路 table [s2t401cpb5] lists Next Banker RBR versus Next Player BRB.

Transition Mark Ledger [s2t401cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t401cpm1 #1s2t401cpc C5R1s2t401cpr R1 (Ref C1)s2t401cpv Blue (≠)
s2t401cpm2 #2s2t401cpc C5R2s2t401cpr R2 (Ref C2)s2t401cpv Red (=)
s2t401cpm3 #3s2t401cpc C6R1s2t401cpr R1 (Ref C2)s2t401cpv Blue (≠)
s2t401cpm4 #4s2t401cpc C6R2s2t401cpr R2 (Ref C3)s2t401cpv Red (=)
  • [s2t401cpk1] Coordinate C5R2 [s2t401cpk2] compares against Ref C2 (depth 3) on Cockroach Pig k=3.
  • [s2t401cpk3] Active column depth 2 [s2t401cpk4] triggers Rule 2 (Continue Down) on Hand #12 for Red (=).
  • [s2t401cpk5] Next-hand 問路 probe [s2t401cpk6] after 19 hands outputs B=RBR and P=BRB.
INDEPENDENCE & SYMMETRY · S2T401CP

Streak-Break Geometry Across 19 Hands [s2t401cp]

Across 19-hand board [s2t401cpc1] (4-3-2-1-2-3-2-2) [s2t401cpc2], Red (=) and Blue (≠) on Cockroach Pig (k=3) [s2t401cpc3] record column symmetry rather than Banker or Player [s2t401cpc4], and every 8-deck hand at Wynn Palace Cotai floor monitors [s2t401cpc5] remains statistically independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t401cp], Red (=) at Column 5 Row 2 on Cockroach Pig indicates whether Banker or Player won Hand #12.
TruthThinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead. In [s2t401cp], This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
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