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TRANSITION GEOMETRY · S2T354CP · K=3

Cockroach Pig Multi-Column Transition [s2t354cp]: Pattern 6 Step 4 at Column 8 Row 1 → Blue (≠)

Column 7 has 2 beads. Column 4 has 4 beads. Different depth → blue (≠). In multi-column transition [s2t354cp] (p06-twin-crest, step 4), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #18 at Column 8 Row 1 against Column 4 (depth 4) across Monte-Carlo Salle Blanche displays.

Ref C4 (D4)
C8R1
Cockroach Pig k=3
BLUE (≠)
Hand #18/20
P6·S4
Ask B / Ask P
RRR/BBB
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Transition [s2t354cp] (3-3-2-4-2-1-2-3): Cockroach Pig k=3 Mark #9 at C8R1 → Column 7 has 2 beads. Column 4 has 4 beads. Different depth → 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 #9 [s2t354cp]

Column 7 has 2 beads. Column 4 has 4 beads. Different depth → blue (≠).

  1. Column 8 starts, so use Rule 1: compare Column 7 with Column 4, 3 columns further back.
  2. Column 7 has 2 beads. Column 4 has 4 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 7, the one that just finished, with Column 4.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t354cp]
Cockroach Pig (k=3) · Col 8 Row 1

Pattern p06-twin-crest step 4 on Hand #18 of 20 (3-3-2-4-2-1-2-3).

Active vs Reference [s2t354cp]
Active Col 8 (Depth 3) vs Ref Col 4 (Depth 4)

Governed by Rule 1 (New Column) with lookback offset k=3.

Engine describeMark() [s2t354cp]
Column 7 has 2 beads. Column 4 has 4 beads. Different depth → blue (≠).

1. Column 8 starts, so use Rule 1: compare Column 7 with Column 4, 3 columns further back. 2. Column 7 has 2 beads. Column 4 has 4 beads. Different depth → blue (≠).

Learner Guardrail [s2t354cp]
Comparing the wrong columns. Compare Column 7, the one that just finished, with Column 4.

Verified against 11 total Cockroach Pig marks in [s2t354cp].

Next-Hand Ask-Road [s2t354cp]
Next B → RRR | Next P → BBB

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

TRANSITION PROOF · S2T354CP

Multi-Column Transition [s2t354cp]: Cockroach Pig (k=3) at C8R1 vs C4

Matrix entry [s2t354cp] verifies Rule 1 (New Column) for Cockroach Pig (k=3) at Monte-Carlo Salle Blanche displays where Column 8 Row 1 [s2t354cpa] meets Reference Column 4 (height 4) on Hand #18: Column 7 has 2 beads. Column 4 has 4 beads. Different depth → blue (≠).

Step trace [s2t354cpb1] confirms Cockroach Pig lookback k=3 [s2t354cpb2] compares Column 8 Row 1 (depth 3) [s2t354cpb3] with Column 4 (depth 4) [s2t354cpb4] under Rule 1 (New Column) to yield Blue (≠) [s2t354cpb5] while next-hand probes show B=RRR and P=BBB.

Transition Mark Ledger [s2t354cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t354cpm1 #1s2t354cpc C4R2s2t354cpr R2 (Ref C1)s2t354cpv Red (=)
s2t354cpm2 #2s2t354cpc C4R3s2t354cpr R2 (Ref C1)s2t354cpv Red (=)
s2t354cpm3 #3s2t354cpc C4R4s2t354cpr R2 (Ref C1)s2t354cpv Blue (≠)
s2t354cpm4 #4s2t354cpc C5R1s2t354cpr R1 (Ref C1)s2t354cpv Blue (≠)
  • [s2t354cpk1] Coordinate C8R1 [s2t354cpk2] compares against Ref C4 (depth 4) on Cockroach Pig k=3.
  • [s2t354cpk3] Active column depth 3 [s2t354cpk4] triggers Rule 1 (New Column) on Hand #18 for Blue (≠).
  • [s2t354cpk5] Next-hand 問路 probe [s2t354cpk6] after 20 hands outputs B=RRR and P=BBB.
INDEPENDENCE & SYMMETRY · S2T354CP

Streak-Break Geometry Across 20 Hands [s2t354cp]

Within 20-hand shoe [s2t354cpc1], Cockroach Pig (lookback k=3) [s2t354cpc2] compares Column 8 Row 1 with Column 4 (depth 4) [s2t354cpc3] while derived symbols never denote Banker or Player [s2t354cpc4] and future hands [s2t354cpc5] stay independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t354cp], Blue (≠) at Column 8 Row 1 on Cockroach Pig indicates whether Banker or Player won Hand #18.
TruthComparing the wrong columns. Compare Column 7, the one that just finished, with Column 4. In [s2t354cp], Column 7 has 2 beads. Column 4 has 4 beads. Different depth → blue (≠).
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