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TRANSITION GEOMETRY · S2T421CP · K=3

Cockroach Pig Multi-Column Transition [s2t421cp]: Pattern 13 Step 1 at Column 5 Row 1 → Blue (≠)

Column 4 has 2 beads. Column 1 has 3 beads. Different depth → blue (≠). In multi-column transition [s2t421cp] (p13-chop-recovery, step 1), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #11 at Column 5 Row 1 against Column 1 (depth 3) across Las Vegas Strip high-limit pits.

Ref C1 (D3)
C5R1
Cockroach Pig k=3
BLUE (≠)
Hand #11/20
P13·S1
Ask B / Ask P
RBB/BRR
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Transition [s2t421cp] (3-4-1-2-3-3-2-2): Cockroach Pig k=3 Mark #2 at C5R1 → Column 4 has 2 beads. Column 1 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 #2 [s2t421cp]

Column 4 has 2 beads. Column 1 has 3 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 2 beads. Column 1 has 3 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t421cp]
Cockroach Pig (k=3) · Col 5 Row 1

Pattern p13-chop-recovery step 1 on Hand #11 of 20 (3-4-1-2-3-3-2-2).

Active vs Reference [s2t421cp]
Active Col 5 (Depth 3) vs Ref Col 1 (Depth 3)

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

Engine describeMark() [s2t421cp]
Column 4 has 2 beads. Column 1 has 3 beads. Different depth → blue (≠).

1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back. 2. Column 4 has 2 beads. Column 1 has 3 beads. Different depth → blue (≠).

Learner Guardrail [s2t421cp]
Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified against 11 total Cockroach Pig marks in [s2t421cp].

Next-Hand Ask-Road [s2t421cp]
Next B → RBB | Next P → BRR

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

TRANSITION PROOF · S2T421CP

Multi-Column Transition [s2t421cp]: Cockroach Pig (k=3) at C5R1 vs C1

Engine verification [s2t421cp] confirms Blue (≠) on Cockroach Pig (k=3) at Las Vegas Strip high-limit pits when Hand #11 occupies Column 5 Row 1 [s2t421cpa] opposite Column 1 (depth 3): Column 4 has 2 beads. Column 1 has 3 beads. Different depth → blue (≠).

Across 20 hands [s2t421cpb1], Cockroach Pig (k=3) [s2t421cpb2] resolves Hand #11 at Column 5 Row 1 [s2t421cpb3] via Column 1 (depth 3) [s2t421cpb4] as Blue (≠) [s2t421cpb5] with B=RBB and P=BRR.

Transition Mark Ledger [s2t421cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t421cpm1 #1s2t421cpc C4R2s2t421cpr R2 (Ref C1)s2t421cpv Red (=)
s2t421cpm2 #2s2t421cpc C5R1s2t421cpr R1 (Ref C1)s2t421cpv Blue (≠)
s2t421cpm3 #3s2t421cpc C5R2s2t421cpr R2 (Ref C2)s2t421cpv Red (=)
s2t421cpm4 #4s2t421cpc C5R3s2t421cpr R2 (Ref C2)s2t421cpv Red (=)
  • [s2t421cpk1] Coordinate C5R1 [s2t421cpk2] compares against Ref C1 (depth 3) on Cockroach Pig k=3.
  • [s2t421cpk3] Active column depth 3 [s2t421cpk4] triggers Rule 1 (New Column) on Hand #11 for Blue (≠).
  • [s2t421cpk5] Next-hand 問路 probe [s2t421cpk6] after 20 hands outputs B=RBB and P=BRR.
INDEPENDENCE & SYMMETRY · S2T421CP

Streak-Break Geometry Across 20 Hands [s2t421cp]

Audit [s2t421cpc1] verifies that Cockroach Pig (k=3) [s2t421cpc2] at Hand #11 (C5R1) [s2t421cpc3] encodes Rule 1 and Rule 2 geometry; Red (=) and Blue (≠) never represent Banker or Player [s2t421cpc4] on independent hands [s2t421cpc5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t421cp], Blue (≠) at Column 5 Row 1 on Cockroach Pig indicates whether Banker or Player won Hand #11.
TruthComparing the wrong columns. Compare Column 4, the one that just finished, with Column 1. In [s2t421cp], Column 4 has 2 beads. Column 1 has 3 beads. Different depth → blue (≠).
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