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TRANSITION GEOMETRY · S2T407CP · K=3

Cockroach Pig Multi-Column Transition [s2t407cp]: Pattern 11 Step 7 at Column 8 Row 1 → Red (=)

Column 7 has 1 bead. Column 4 has 1 bead. Same depth → red (=). In multi-column transition [s2t407cp] (p11-stair-rebound, step 7), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #17 at Column 8 Row 1 against Column 4 (depth 1) across Las Vegas Strip high-limit pits.

Ref C4 (D1)
C8R1
Cockroach Pig k=3
RED (=)
Hand #17/20
P11·S7
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 B B P P P B B P B B P P P B P P P P
Big Eye Boy = = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = =
Small Road = ≠ ≠ = = ≠ = ≠ ≠ = = ≠
Cockroach Pig ≠ = ≠ = ≠ ≠ = = ≠ =

Transition [s2t407cp] (4-3-2-1-2-3-1-4): Cockroach Pig k=3 Mark #7 at C8R1 → Column 7 has 1 bead. Column 4 has 1 bead. Same depth → red (=).

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 [s2t407cp]

Column 7 has 1 bead. Column 4 has 1 bead. Same depth → red (=).

  1. Column 8 starts, so use Rule 1: compare Column 7 with Column 4, 3 columns further back.
  2. Column 7 has 1 bead. Column 4 has 1 bead. Same depth → red (=).

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 [s2t407cp]
Cockroach Pig (k=3) · Col 8 Row 1

Pattern p11-stair-rebound step 7 on Hand #17 of 20 (4-3-2-1-2-3-1-4).

Active vs Reference [s2t407cp]
Active Col 8 (Depth 4) vs Ref Col 4 (Depth 1)

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

Engine describeMark() [s2t407cp]
Column 7 has 1 bead. Column 4 has 1 bead. Same depth → red (=).

1. Column 8 starts, so use Rule 1: compare Column 7 with Column 4, 3 columns further back. 2. Column 7 has 1 bead. Column 4 has 1 bead. Same depth → red (=).

Learner Guardrail [s2t407cp]
Comparing the wrong columns. Compare Column 7, the one that just finished, with Column 4.

Verified against 10 total Cockroach Pig marks in [s2t407cp].

Next-Hand Ask-Road [s2t407cp]
Next B → BBB | Next P → RRR

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

TRANSITION PROOF · S2T407CP

Multi-Column Transition [s2t407cp]: Cockroach Pig (k=3) at C8R1 vs C4

Engine verification [s2t407cp] confirms Red (=) on Cockroach Pig (k=3) at Las Vegas Strip high-limit pits when Hand #17 occupies Column 8 Row 1 [s2t407cpa] opposite Column 4 (depth 1): Column 7 has 1 bead. Column 4 has 1 bead. Same depth → red (=).

Across 20 hands [s2t407cpb1], Cockroach Pig (k=3) [s2t407cpb2] resolves Hand #17 at Column 8 Row 1 [s2t407cpb3] via Column 4 (depth 1) [s2t407cpb4] as Red (=) [s2t407cpb5] with B=BBB and P=RRR.

Transition Mark Ledger [s2t407cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t407cpm1 #1s2t407cpc C5R1s2t407cpr R1 (Ref C1)s2t407cpv Blue (≠)
s2t407cpm2 #2s2t407cpc C5R2s2t407cpr R2 (Ref C2)s2t407cpv Red (=)
s2t407cpm3 #3s2t407cpc C6R1s2t407cpr R1 (Ref C2)s2t407cpv Blue (≠)
s2t407cpm4 #4s2t407cpc C6R2s2t407cpr R2 (Ref C3)s2t407cpv Red (=)
  • [s2t407cpk1] Coordinate C8R1 [s2t407cpk2] compares against Ref C4 (depth 1) on Cockroach Pig k=3.
  • [s2t407cpk3] Active column depth 4 [s2t407cpk4] triggers Rule 1 (New Column) on Hand #17 for Red (=).
  • [s2t407cpk5] Next-hand 問路 probe [s2t407cpk6] after 20 hands outputs B=BBB and P=RRR.
INDEPENDENCE & SYMMETRY · S2T407CP

Streak-Break Geometry Across 20 Hands [s2t407cp]

Audit [s2t407cpc1] verifies that Cockroach Pig (k=3) [s2t407cpc2] at Hand #17 (C8R1) [s2t407cpc3] encodes Rule 1 and Rule 2 geometry; Red (=) and Blue (≠) never represent Banker or Player [s2t407cpc4] on independent hands [s2t407cpc5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t407cp], Red (=) at Column 8 Row 1 on Cockroach Pig indicates whether Banker or Player won Hand #17.
TruthComparing the wrong columns. Compare Column 7, the one that just finished, with Column 4. In [s2t407cp], Column 7 has 1 bead. Column 4 has 1 bead. Same depth → red (=).
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