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TRANSITION GEOMETRY · S2T309CP · K=3

Cockroach Pig Multi-Column Transition [s2t309cp]: Pattern 1 Step 9 at Column 7 Row 1 → Blue (≠)

Column 6 has 4 beads. Column 3 has 1 bead. Different depth → blue (≠). In multi-column transition [s2t309cp] (p01-paired-climb, step 9), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #15 at Column 7 Row 1 against Column 3 (depth 1) across Las Vegas Strip high-limit pits.

Ref C3 (D1)
C7R1
Cockroach Pig k=3
BLUE (≠)
Hand #15/20
P1·S9
Ask B / Ask P
BBR/RRB
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Transition [s2t309cp] (2-2-1-3-2-4-4-2): Cockroach Pig k=3 Mark #9 at C7R1 → Column 6 has 4 beads. Column 3 has 1 bead. 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 [s2t309cp]

Column 6 has 4 beads. Column 3 has 1 bead. 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 4 beads. Column 3 has 1 bead. 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 [s2t309cp]
Cockroach Pig (k=3) · Col 7 Row 1

Pattern p01-paired-climb step 9 on Hand #15 of 20 (2-2-1-3-2-4-4-2).

Active vs Reference [s2t309cp]
Active Col 7 (Depth 4) vs Ref Col 3 (Depth 1)

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

Engine describeMark() [s2t309cp]
Column 6 has 4 beads. Column 3 has 1 bead. 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 4 beads. Column 3 has 1 bead. Different depth → blue (≠).

Learner Guardrail [s2t309cp]
Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified against 14 total Cockroach Pig marks in [s2t309cp].

Next-Hand Ask-Road [s2t309cp]
Next B → BBR | Next P → RRB

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

TRANSITION PROOF · S2T309CP

Multi-Column Transition [s2t309cp]: Cockroach Pig (k=3) at C7R1 vs C3

Engine verification [s2t309cp] confirms Blue (≠) on Cockroach Pig (k=3) at Las Vegas Strip high-limit pits when Hand #15 occupies Column 7 Row 1 [s2t309cpa] opposite Column 3 (depth 1): Column 6 has 4 beads. Column 3 has 1 bead. Different depth → blue (≠).

Across 20 hands [s2t309cpb1], Cockroach Pig (k=3) [s2t309cpb2] resolves Hand #15 at Column 7 Row 1 [s2t309cpb3] via Column 3 (depth 1) [s2t309cpb4] as Blue (≠) [s2t309cpb5] with B=BBR and P=RRB.

Transition Mark Ledger [s2t309cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t309cpm1 #1s2t309cpc C4R2s2t309cpr R2 (Ref C1)s2t309cpv Red (=)
s2t309cpm2 #2s2t309cpc C4R3s2t309cpr R2 (Ref C1)s2t309cpv Blue (≠)
s2t309cpm3 #3s2t309cpc C5R1s2t309cpr R1 (Ref C1)s2t309cpv Blue (≠)
s2t309cpm4 #4s2t309cpc C5R2s2t309cpr R2 (Ref C2)s2t309cpv Red (=)
  • [s2t309cpk1] Coordinate C7R1 [s2t309cpk2] compares against Ref C3 (depth 1) on Cockroach Pig k=3.
  • [s2t309cpk3] Active column depth 4 [s2t309cpk4] triggers Rule 1 (New Column) on Hand #15 for Blue (≠).
  • [s2t309cpk5] Next-hand 問路 probe [s2t309cpk6] after 20 hands outputs B=BBR and P=RRB.
INDEPENDENCE & SYMMETRY · S2T309CP

Streak-Break Geometry Across 20 Hands [s2t309cp]

Audit [s2t309cpc1] verifies that Cockroach Pig (k=3) [s2t309cpc2] at Hand #15 (C7R1) [s2t309cpc3] encodes Rule 1 and Rule 2 geometry; Red (=) and Blue (≠) never represent Banker or Player [s2t309cpc4] on independent hands [s2t309cpc5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t309cp], Blue (≠) at Column 7 Row 1 on Cockroach Pig indicates whether Banker or Player won Hand #15.
TruthComparing the wrong columns. Compare Column 6, the one that just finished, with Column 3. In [s2t309cp], Column 6 has 4 beads. Column 3 has 1 bead. Different depth → blue (≠).
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