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TRANSITION GEOMETRY · S2T410CP · K=3

Cockroach Pig Multi-Column Transition [s2t410cp]: Pattern 11 Step 10 at Column 8 Row 1 → Blue (≠)

Column 7 has 3 beads. Column 4 has 1 bead. Different depth → blue (≠). In multi-column transition [s2t410cp] (p11-stair-rebound, step 10), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #19 at Column 8 Row 1 against Column 4 (depth 1) across Monte-Carlo Salle Blanche displays.

Ref C4 (D1)
C8R1
Cockroach Pig k=3
BLUE (≠)
Hand #19/21
P11·S10
Ask B / Ask P
BBR/RRB
Engine-Verified Scoreboard · 21 Hands

Read the Board at Table Speed

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

Transition [s2t410cp] (4-3-2-1-2-3-3-3): Cockroach Pig k=3 Mark #9 at C8R1 → Column 7 has 3 beads. Column 4 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 [s2t410cp]

Column 7 has 3 beads. Column 4 has 1 bead. 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 1 bead. 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 [s2t410cp]
Cockroach Pig (k=3) · Col 8 Row 1

Pattern p11-stair-rebound step 10 on Hand #19 of 21 (4-3-2-1-2-3-3-3).

Active vs Reference [s2t410cp]
Active Col 8 (Depth 3) vs Ref Col 4 (Depth 1)

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

Engine describeMark() [s2t410cp]
Column 7 has 3 beads. Column 4 has 1 bead. 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 1 bead. Different depth → blue (≠).

Learner Guardrail [s2t410cp]
Comparing the wrong columns. Compare Column 7, the one that just finished, with Column 4.

Verified against 11 total Cockroach Pig marks in [s2t410cp].

Next-Hand Ask-Road [s2t410cp]
Next B → BBR | Next P → RRB

Probed after Hand #21 across Big Eye Boy, Small Road, and Cockroach Pig.

TRANSITION PROOF · S2T410CP

Multi-Column Transition [s2t410cp]: Cockroach Pig (k=3) at C8R1 vs C4

Checking Cockroach Pig (曱甴路 (Gaat Jaat Lou), lookback k=3) under [s2t410cp] at Monte-Carlo Salle Blanche displays, active Column 8 Row 1 [s2t410cpa] compares with Column 4 (height 1) on Hand #19 to record Blue (≠): Column 7 has 3 beads. Column 4 has 1 bead. Different depth → blue (≠).

Step trace [s2t410cpb1] confirms Cockroach Pig lookback k=3 [s2t410cpb2] compares Column 8 Row 1 (depth 3) [s2t410cpb3] with Column 4 (depth 1) [s2t410cpb4] under Rule 1 (New Column) to yield Blue (≠) [s2t410cpb5] while next-hand probes show B=BBR and P=RRB.

Transition Mark Ledger [s2t410cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t410cpm1 #1s2t410cpc C5R1s2t410cpr R1 (Ref C1)s2t410cpv Blue (≠)
s2t410cpm2 #2s2t410cpc C5R2s2t410cpr R2 (Ref C2)s2t410cpv Red (=)
s2t410cpm3 #3s2t410cpc C6R1s2t410cpr R1 (Ref C2)s2t410cpv Blue (≠)
s2t410cpm4 #4s2t410cpc C6R2s2t410cpr R2 (Ref C3)s2t410cpv Red (=)
  • [s2t410cpk1] Coordinate C8R1 [s2t410cpk2] compares against Ref C4 (depth 1) on Cockroach Pig k=3.
  • [s2t410cpk3] Active column depth 3 [s2t410cpk4] triggers Rule 1 (New Column) on Hand #19 for Blue (≠).
  • [s2t410cpk5] Next-hand 問路 probe [s2t410cpk6] after 21 hands outputs B=BBR and P=RRB.
INDEPENDENCE & SYMMETRY · S2T410CP

Streak-Break Geometry Across 21 Hands [s2t410cp]

At Monte-Carlo Salle Blanche displays [s2t410cpc1], Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) [s2t410cpc2] plots Blue (≠) for Column 8 Row 1 [s2t410cpc3]; scoreboard colors on derived grids never represent Banker or Player [s2t410cpc4] and hands [s2t410cpc5] are independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t410cp], 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 [s2t410cp], Column 7 has 3 beads. Column 4 has 1 bead. Different depth → blue (≠).
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