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TRANSITION GEOMETRY · S2T449CP · K=3

Cockroach Pig Multi-Column Transition [s2t449cp]: Pattern 15 Step 9 at Column 7 Row 1 → Blue (≠)

Column 6 has 2 beads. Column 3 has 3 beads. Different depth → blue (≠). In multi-column transition [s2t449cp] (p15-stepped-pair, step 9), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #17 at Column 7 Row 1 against Column 3 (depth 3) across Las Vegas Strip high-limit pits.

Ref C3 (D3)
C7R1
Cockroach Pig k=3
BLUE (≠)
Hand #17/22
P15·S9
Ask B / Ask P
BRB/RBR
Engine-Verified Scoreboard · 22 Hands

Read the Board at Table Speed

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

Transition [s2t449cp] (2-2-3-3-4-2-4-2): Cockroach Pig k=3 Mark #9 at C7R1 → Column 6 has 2 beads. Column 3 has 3 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 [s2t449cp]

Column 6 has 2 beads. Column 3 has 3 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 2 beads. Column 3 has 3 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 [s2t449cp]
Cockroach Pig (k=3) · Col 7 Row 1

Pattern p15-stepped-pair step 9 on Hand #17 of 22 (2-2-3-3-4-2-4-2).

Active vs Reference [s2t449cp]
Active Col 7 (Depth 4) vs Ref Col 3 (Depth 3)

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

Engine describeMark() [s2t449cp]
Column 6 has 2 beads. Column 3 has 3 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 2 beads. Column 3 has 3 beads. Different depth → blue (≠).

Learner Guardrail [s2t449cp]
Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified against 14 total Cockroach Pig marks in [s2t449cp].

Next-Hand Ask-Road [s2t449cp]
Next B → BRB | Next P → RBR

Probed after Hand #22 across Big Eye Boy, Small Road, and Cockroach Pig.

TRANSITION PROOF · S2T449CP

Multi-Column Transition [s2t449cp]: Cockroach Pig (k=3) at C7R1 vs C3

Engine verification [s2t449cp] confirms Blue (≠) on Cockroach Pig (k=3) at Las Vegas Strip high-limit pits when Hand #17 occupies Column 7 Row 1 [s2t449cpa] opposite Column 3 (depth 3): Column 6 has 2 beads. Column 3 has 3 beads. Different depth → blue (≠).

Across 22 hands [s2t449cpb1], Cockroach Pig (k=3) [s2t449cpb2] resolves Hand #17 at Column 7 Row 1 [s2t449cpb3] via Column 3 (depth 3) [s2t449cpb4] as Blue (≠) [s2t449cpb5] with B=BRB and P=RBR.

Transition Mark Ledger [s2t449cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t449cpm1 #1s2t449cpc C4R2s2t449cpr R2 (Ref C1)s2t449cpv Red (=)
s2t449cpm2 #2s2t449cpc C4R3s2t449cpr R2 (Ref C1)s2t449cpv Blue (≠)
s2t449cpm3 #3s2t449cpc C5R1s2t449cpr R1 (Ref C1)s2t449cpv Blue (≠)
s2t449cpm4 #4s2t449cpc C5R2s2t449cpr R2 (Ref C2)s2t449cpv Red (=)
  • [s2t449cpk1] Coordinate C7R1 [s2t449cpk2] compares against Ref C3 (depth 3) on Cockroach Pig k=3.
  • [s2t449cpk3] Active column depth 4 [s2t449cpk4] triggers Rule 1 (New Column) on Hand #17 for Blue (≠).
  • [s2t449cpk5] Next-hand 問路 probe [s2t449cpk6] after 22 hands outputs B=BRB and P=RBR.
INDEPENDENCE & SYMMETRY · S2T449CP

Streak-Break Geometry Across 22 Hands [s2t449cp]

Audit [s2t449cpc1] verifies that Cockroach Pig (k=3) [s2t449cpc2] at Hand #17 (C7R1) [s2t449cpc3] encodes Rule 1 and Rule 2 geometry; Red (=) and Blue (≠) never represent Banker or Player [s2t449cpc4] on independent hands [s2t449cpc5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t449cp], Blue (≠) at Column 7 Row 1 on Cockroach Pig indicates whether Banker or Player won Hand #17.
TruthComparing the wrong columns. Compare Column 6, the one that just finished, with Column 3. In [s2t449cp], Column 6 has 2 beads. Column 3 has 3 beads. Different depth → blue (≠).
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