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TRANSITION GEOMETRY · S2T408CP · K=3

Cockroach Pig Multi-Column Transition [s2t408cp]: Pattern 11 Step 8 at Column 7 Row 2 → Blue (≠)

This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠). In multi-column transition [s2t408cp] (p11-stair-rebound, step 8), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #17 at Column 7 Row 2 against Column 4 (depth 1) across Marina Bay Sands electronic scoreboards.

Ref C4 (D1)
C7R2
Cockroach Pig k=3
BLUE (≠)
Hand #17/21
P11·S8
Ask B / Ask P
RRR/BBB
Engine-Verified Scoreboard · 21 Hands

Read the Board at Table Speed

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

Transition [s2t408cp] (4-3-2-1-2-3-2-4): Cockroach Pig k=3 Mark #7 at C7R2 → This bead is at Row 2. Column 4 stopped at Row 1, 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 #7 [s2t408cp]

This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).

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

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 [s2t408cp]
Cockroach Pig (k=3) · Col 7 Row 2

Pattern p11-stair-rebound step 8 on Hand #17 of 21 (4-3-2-1-2-3-2-4).

Active vs Reference [s2t408cp]
Active Col 7 (Depth 2) vs Ref Col 4 (Depth 1)

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

Engine describeMark() [s2t408cp]
This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).

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

Learner Guardrail [s2t408cp]
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 [s2t408cp].

Next-Hand Ask-Road [s2t408cp]
Next B → RRR | Next P → BBB

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

TRANSITION PROOF · S2T408CP

Multi-Column Transition [s2t408cp]: Cockroach Pig (k=3) at C7R2 vs C4

At Hand #17 in sequence [s2t408cp] (4-3-2-1-2-3-2-4), Cockroach Pig (k=3) resolves Column 7 Row 2 [s2t408cpa] relative to Column 4 (depth 1) on Marina Bay Sands electronic scoreboards displays: This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).

Comparing Column 7 Row 2 [s2t408cpb1] with lookback k=3 Column 4 (depth 1) [s2t408cpb2] on Cockroach Pig [s2t408cpb3] produces Blue (≠) via Rule 2 (Continue Down) [s2t408cpb4], and the 問路 table [s2t408cpb5] lists Next Banker RRR versus Next Player BBB.

Transition Mark Ledger [s2t408cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t408cpm1 #1s2t408cpc C5R1s2t408cpr R1 (Ref C1)s2t408cpv Blue (≠)
s2t408cpm2 #2s2t408cpc C5R2s2t408cpr R2 (Ref C2)s2t408cpv Red (=)
s2t408cpm3 #3s2t408cpc C6R1s2t408cpr R1 (Ref C2)s2t408cpv Blue (≠)
s2t408cpm4 #4s2t408cpc C6R2s2t408cpr R2 (Ref C3)s2t408cpv Red (=)
  • [s2t408cpk1] Coordinate C7R2 [s2t408cpk2] compares against Ref C4 (depth 1) on Cockroach Pig k=3.
  • [s2t408cpk3] Active column depth 2 [s2t408cpk4] triggers Rule 2 (Continue Down) on Hand #17 for Blue (≠).
  • [s2t408cpk5] Next-hand 問路 probe [s2t408cpk6] after 21 hands outputs B=RRR and P=BBB.
INDEPENDENCE & SYMMETRY · S2T408CP

Streak-Break Geometry Across 21 Hands [s2t408cp]

Across 21-hand board [s2t408cpc1] (4-3-2-1-2-3-2-4) [s2t408cpc2], Red (=) and Blue (≠) on Cockroach Pig (k=3) [s2t408cpc3] record column symmetry rather than Banker or Player [s2t408cpc4], and every 8-deck hand at Marina Bay Sands electronic scoreboards [s2t408cpc5] remains statistically independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t408cp], Blue (≠) at Column 7 Row 2 on Cockroach Pig indicates whether Banker or Player won Hand #17.
TruthThinking "no bead at this row" means blue. It is blue only when Column 4 stopped exactly one row above this bead. In [s2t408cp], This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
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