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TRANSITION GEOMETRY · S2T345CP · K=3

Cockroach Pig Multi-Column Transition [s2t345cp]: Pattern 5 Step 5 at Column 8 Row 1 → Blue (≠)

Column 7 has 3 beads. Column 4 has 2 beads. Different depth → blue (≠). In multi-column transition [s2t345cp] (p05-ascending-taper, step 5), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #19 at Column 8 Row 1 against Column 4 (depth 2) across Wynn Palace Cotai floor monitors.

Ref C4 (D2)
C8R1
Cockroach Pig k=3
BLUE (≠)
Hand #19/20
P5·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 P B B B P P B P P P B B B P P
Big Eye Boy = ≠ = ≠ = = ≠ = ≠ ≠ ≠ = ≠ = = = =
Small Road = ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ =
Cockroach Pig = = ≠ = = = = ≠ ≠ ≠

Transition [s2t345cp] (2-4-3-2-1-3-3-2): Cockroach Pig k=3 Mark #9 at C8R1 → Column 7 has 3 beads. Column 4 has 2 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 [s2t345cp]

Column 7 has 3 beads. Column 4 has 2 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 3 beads. Column 4 has 2 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 [s2t345cp]
Cockroach Pig (k=3) · Col 8 Row 1

Pattern p05-ascending-taper step 5 on Hand #19 of 20 (2-4-3-2-1-3-3-2).

Active vs Reference [s2t345cp]
Active Col 8 (Depth 2) vs Ref Col 4 (Depth 2)

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

Engine describeMark() [s2t345cp]
Column 7 has 3 beads. Column 4 has 2 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 3 beads. Column 4 has 2 beads. Different depth → blue (≠).

Learner Guardrail [s2t345cp]
Comparing the wrong columns. Compare Column 7, the one that just finished, with Column 4.

Verified against 10 total Cockroach Pig marks in [s2t345cp].

Next-Hand Ask-Road [s2t345cp]
Next B → BBB | Next P → RRR

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

TRANSITION PROOF · S2T345CP

Multi-Column Transition [s2t345cp]: Cockroach Pig (k=3) at C8R1 vs C4

At Hand #19 in sequence [s2t345cp] (2-4-3-2-1-3-3-2), Cockroach Pig (k=3) resolves Column 8 Row 1 [s2t345cpa] relative to Column 4 (depth 2) on Wynn Palace Cotai floor monitors displays: Column 7 has 3 beads. Column 4 has 2 beads. Different depth → blue (≠).

Comparing Column 8 Row 1 [s2t345cpb1] with lookback k=3 Column 4 (depth 2) [s2t345cpb2] on Cockroach Pig [s2t345cpb3] produces Blue (≠) via Rule 1 (New Column) [s2t345cpb4], and the 問路 table [s2t345cpb5] lists Next Banker BBB versus Next Player RRR.

Transition Mark Ledger [s2t345cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t345cpm1 #1s2t345cpc C4R2s2t345cpr R2 (Ref C1)s2t345cpv Red (=)
s2t345cpm2 #2s2t345cpc C5R1s2t345cpr R1 (Ref C1)s2t345cpv Red (=)
s2t345cpm3 #3s2t345cpc C6R1s2t345cpr R1 (Ref C2)s2t345cpv Blue (≠)
s2t345cpm4 #4s2t345cpc C6R2s2t345cpr R2 (Ref C3)s2t345cpv Red (=)
  • [s2t345cpk1] Coordinate C8R1 [s2t345cpk2] compares against Ref C4 (depth 2) on Cockroach Pig k=3.
  • [s2t345cpk3] Active column depth 2 [s2t345cpk4] triggers Rule 1 (New Column) on Hand #19 for Blue (≠).
  • [s2t345cpk5] Next-hand 問路 probe [s2t345cpk6] after 20 hands outputs B=BBB and P=RRR.
INDEPENDENCE & SYMMETRY · S2T345CP

Streak-Break Geometry Across 20 Hands [s2t345cp]

Across 20-hand board [s2t345cpc1] (2-4-3-2-1-3-3-2) [s2t345cpc2], Red (=) and Blue (≠) on Cockroach Pig (k=3) [s2t345cpc3] record column symmetry rather than Banker or Player [s2t345cpc4], and every 8-deck hand at Wynn Palace Cotai floor monitors [s2t345cpc5] remains statistically independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t345cp], Blue (≠) at Column 8 Row 1 on Cockroach Pig indicates whether Banker or Player won Hand #19.
TruthComparing the wrong columns. Compare Column 7, the one that just finished, with Column 4. In [s2t345cp], Column 7 has 3 beads. Column 4 has 2 beads. Different depth → blue (≠).
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