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TRANSITION GEOMETRY · S2T415CP · K=3

Cockroach Pig Multi-Column Transition [s2t415cp]: Pattern 12 Step 5 at Column 7 Row 1 → Blue (≠)

Column 6 has 1 bead. Column 3 has 4 beads. Different depth → blue (≠). In multi-column transition [s2t415cp] (p12-escalating-run, step 5), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #16 at Column 7 Row 1 against Column 3 (depth 4) across Wynn Palace Cotai floor monitors.

Ref C3 (D4)
C7R1
Cockroach Pig k=3
BLUE (≠)
Hand #16/20
P12·S5
Ask B / Ask P
BBB/RRR
Engine-Verified Scoreboard · 20 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 P P
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ =
Small Road = ≠ = ≠ = ≠ = = ≠ ≠ = = = ≠
Cockroach Pig = = = = = ≠ = ≠ ≠ =

Transition [s2t415cp] (2-3-4-2-3-1-3-2): Cockroach Pig k=3 Mark #6 at C7R1 → Column 6 has 1 bead. Column 3 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 #6 [s2t415cp]

Column 6 has 1 bead. Column 3 has 4 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 4 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t415cp]
Cockroach Pig (k=3) · Col 7 Row 1

Pattern p12-escalating-run step 5 on Hand #16 of 20 (2-3-4-2-3-1-3-2).

Active vs Reference [s2t415cp]
Active Col 7 (Depth 3) vs Ref Col 3 (Depth 4)

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

Engine describeMark() [s2t415cp]
Column 6 has 1 bead. Column 3 has 4 beads. Different depth → blue (≠).

1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back. 2. Column 6 has 1 bead. Column 3 has 4 beads. Different depth → blue (≠).

Learner Guardrail [s2t415cp]
Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified against 10 total Cockroach Pig marks in [s2t415cp].

Next-Hand Ask-Road [s2t415cp]
Next B → BBB | Next P → RRR

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

TRANSITION PROOF · S2T415CP

Multi-Column Transition [s2t415cp]: Cockroach Pig (k=3) at C7R1 vs C3

Scoreboard ledger [s2t415cp] isolates Hand #16 at Column 7 Row 1 [s2t415cpa] so Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) can compare Column 3 (depth 4) at Wynn Palace Cotai floor monitors: Column 6 has 1 bead. Column 3 has 4 beads. Different depth → blue (≠).

Comparing Column 7 Row 1 [s2t415cpb1] with lookback k=3 Column 3 (depth 4) [s2t415cpb2] on Cockroach Pig [s2t415cpb3] produces Blue (≠) via Rule 1 (New Column) [s2t415cpb4], and the 問路 table [s2t415cpb5] lists Next Banker BBB versus Next Player RRR.

Transition Mark Ledger [s2t415cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t415cpm1 #1s2t415cpc C4R2s2t415cpr R2 (Ref C1)s2t415cpv Red (=)
s2t415cpm2 #2s2t415cpc C5R1s2t415cpr R1 (Ref C1)s2t415cpv Red (=)
s2t415cpm3 #3s2t415cpc C5R2s2t415cpr R2 (Ref C2)s2t415cpv Red (=)
s2t415cpm4 #4s2t415cpc C5R3s2t415cpr R2 (Ref C2)s2t415cpv Red (=)
  • [s2t415cpk1] Coordinate C7R1 [s2t415cpk2] compares against Ref C3 (depth 4) on Cockroach Pig k=3.
  • [s2t415cpk3] Active column depth 3 [s2t415cpk4] triggers Rule 1 (New Column) on Hand #16 for Blue (≠).
  • [s2t415cpk5] Next-hand 問路 probe [s2t415cpk6] after 20 hands outputs B=BBB and P=RRR.
INDEPENDENCE & SYMMETRY · S2T415CP

Streak-Break Geometry Across 20 Hands [s2t415cp]

Throughout 2-3-4-2-3-1-3-2 [s2t415cpc1], Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) [s2t415cpc2] reflects completed column heights from Column 3 to Column 7 [s2t415cpc3]; derived colors never mean Banker or Player [s2t415cpc4] and shoe probabilities [s2t415cpc5] do not shift.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t415cp], Blue (≠) at Column 7 Row 1 on Cockroach Pig indicates whether Banker or Player won Hand #16.
TruthComparing the wrong columns. Compare Column 6, the one that just finished, with Column 3. In [s2t415cp], Column 6 has 1 bead. Column 3 has 4 beads. Different depth → blue (≠).
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