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TRANSITION GEOMETRY · S2T331CP · K=3

Cockroach Pig Multi-Column Transition [s2t331cp]: Pattern 4 Step 1 at Column 5 Row 3 → Blue (≠)

This bead is at Row 3. Column 2 stopped at Row 2, one row above → blue (≠). In multi-column transition [s2t331cp] (p04-quartet-twin, step 1), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #12 at Column 5 Row 3 against Column 2 (depth 2) across Wynn Palace Cotai floor monitors.

Ref C2 (D2)
C5R3
Cockroach Pig k=3
BLUE (≠)
Hand #12/19
P4·S1
Ask B / Ask P
RBB/BRR
Engine-Verified Scoreboard · 19 Hands

Read the Board at Table Speed

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

Transition [s2t331cp] (4-2-1-2-3-3-2-2): Cockroach Pig k=3 Mark #4 at C5R3 → This bead is at Row 3. Column 2 stopped at Row 2, one row above → blue (≠).

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 #4 [s2t331cp]

This bead is at Row 3. Column 2 stopped at Row 2, one row above → blue (≠).

  1. Column 5 goes down to Row 3, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 stopped at Row 2, one row above → blue (≠).

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 [s2t331cp]
Cockroach Pig (k=3) · Col 5 Row 3

Pattern p04-quartet-twin step 1 on Hand #12 of 19 (4-2-1-2-3-3-2-2).

Active vs Reference [s2t331cp]
Active Col 5 (Depth 3) vs Ref Col 2 (Depth 2)

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

Engine describeMark() [s2t331cp]
This bead is at Row 3. Column 2 stopped at Row 2, one row above → blue (≠).

1. Column 5 goes down to Row 3, so use Rule 2: look 3 columns back, at Column 2. 2. Column 2 stopped at Row 2, one row above → blue (≠).

Learner Guardrail [s2t331cp]
Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Verified against 11 total Cockroach Pig marks in [s2t331cp].

Next-Hand Ask-Road [s2t331cp]
Next B → RBB | Next P → BRR

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

TRANSITION PROOF · S2T331CP

Multi-Column Transition [s2t331cp]: Cockroach Pig (k=3) at C5R3 vs C2

Scoreboard ledger [s2t331cp] isolates Hand #12 at Column 5 Row 3 [s2t331cpa] so Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) can compare Column 2 (depth 2) at Wynn Palace Cotai floor monitors: This bead is at Row 3. Column 2 stopped at Row 2, one row above → blue (≠).

Comparing Column 5 Row 3 [s2t331cpb1] with lookback k=3 Column 2 (depth 2) [s2t331cpb2] on Cockroach Pig [s2t331cpb3] produces Blue (≠) via Rule 2 (Continue Down) [s2t331cpb4], and the 問路 table [s2t331cpb5] lists Next Banker RBB versus Next Player BRR.

Transition Mark Ledger [s2t331cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t331cpm1 #1s2t331cpc C4R2s2t331cpr R2 (Ref C1)s2t331cpv Red (=)
s2t331cpm2 #2s2t331cpc C5R1s2t331cpr R1 (Ref C1)s2t331cpv Blue (≠)
s2t331cpm3 #3s2t331cpc C5R2s2t331cpr R2 (Ref C2)s2t331cpv Red (=)
s2t331cpm4 #4s2t331cpc C5R3s2t331cpr R2 (Ref C2)s2t331cpv Blue (≠)
  • [s2t331cpk1] Coordinate C5R3 [s2t331cpk2] compares against Ref C2 (depth 2) on Cockroach Pig k=3.
  • [s2t331cpk3] Active column depth 3 [s2t331cpk4] triggers Rule 2 (Continue Down) on Hand #12 for Blue (≠).
  • [s2t331cpk5] Next-hand 問路 probe [s2t331cpk6] after 19 hands outputs B=RBB and P=BRR.
INDEPENDENCE & SYMMETRY · S2T331CP

Streak-Break Geometry Across 19 Hands [s2t331cp]

Throughout 4-2-1-2-3-3-2-2 [s2t331cpc1], Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) [s2t331cpc2] reflects completed column heights from Column 2 to Column 5 [s2t331cpc3]; derived colors never mean Banker or Player [s2t331cpc4] and shoe probabilities [s2t331cpc5] do not shift.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t331cp], Blue (≠) at Column 5 Row 3 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 [s2t331cp], This bead is at Row 3. Column 2 stopped at Row 2, one row above → blue (≠).
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