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TRANSITION GEOMETRY · S2T418CP · K=3

Cockroach Pig Multi-Column Transition [s2t418cp]: Pattern 12 Step 8 at Column 8 Row 1 → Red (=)

Column 7 has 2 beads. Column 4 has 2 beads. Same depth → red (=). In multi-column transition [s2t418cp] (p12-escalating-run, step 8), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #18 at Column 8 Row 1 against Column 4 (depth 2) across Bellagio Las Vegas baccarat lounges.

Ref C4 (D2)
C8R1
Cockroach Pig k=3
RED (=)
Hand #18/21
P12·S8
Ask B / Ask P
RRR/BBB
Engine-Verified Scoreboard · 21 Hands

Read the Board at Table Speed

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

Transition [s2t418cp] (2-3-4-2-3-1-2-4): Cockroach Pig k=3 Mark #8 at C8R1 → Column 7 has 2 beads. Column 4 has 2 beads. 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 #8 [s2t418cp]

Column 7 has 2 beads. Column 4 has 2 beads. 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 2 beads. Column 4 has 2 beads. 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 [s2t418cp]
Cockroach Pig (k=3) · Col 8 Row 1

Pattern p12-escalating-run step 8 on Hand #18 of 21 (2-3-4-2-3-1-2-4).

Active vs Reference [s2t418cp]
Active Col 8 (Depth 4) vs Ref Col 4 (Depth 2)

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

Engine describeMark() [s2t418cp]
Column 7 has 2 beads. Column 4 has 2 beads. 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 2 beads. Column 4 has 2 beads. Same depth → red (=).

Learner Guardrail [s2t418cp]
Comparing the wrong columns. Compare Column 7, the one that just finished, with Column 4.

Verified against 11 total Cockroach Pig marks in [s2t418cp].

Next-Hand Ask-Road [s2t418cp]
Next B → RRR | Next P → BBB

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

TRANSITION PROOF · S2T418CP

Multi-Column Transition [s2t418cp]: Cockroach Pig (k=3) at C8R1 vs C4

Inside geometry record [s2t418cp], Hand #18 of 21 reaches Big Road Column 8 Row 1 [s2t418cpa] while Cockroach Pig (k=3) inspects Reference Column 4 (2 beads) at Bellagio Las Vegas baccarat lounges: Column 7 has 2 beads. Column 4 has 2 beads. Same depth → red (=).

Applying Rule 1 (New Column) [s2t418cpb1] on Cockroach Pig (k=3) [s2t418cpb2], Hand #18 at Column 8 Row 1 [s2t418cpb3] checks Column 4 (2 beads) [s2t418cpb4] to output Red (=) [s2t418cpb5] alongside Ask-Road B=RRR / P=BBB.

Transition Mark Ledger [s2t418cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t418cpm1 #1s2t418cpc C4R2s2t418cpr R2 (Ref C1)s2t418cpv Red (=)
s2t418cpm2 #2s2t418cpc C5R1s2t418cpr R1 (Ref C1)s2t418cpv Red (=)
s2t418cpm3 #3s2t418cpc C5R2s2t418cpr R2 (Ref C2)s2t418cpv Red (=)
s2t418cpm4 #4s2t418cpc C5R3s2t418cpr R2 (Ref C2)s2t418cpv Red (=)
  • [s2t418cpk1] Coordinate C8R1 [s2t418cpk2] compares against Ref C4 (depth 2) on Cockroach Pig k=3.
  • [s2t418cpk3] Active column depth 4 [s2t418cpk4] triggers Rule 1 (New Column) on Hand #18 for Red (=).
  • [s2t418cpk5] Next-hand 問路 probe [s2t418cpk6] after 21 hands outputs B=RRR and P=BBB.
INDEPENDENCE & SYMMETRY · S2T418CP

Streak-Break Geometry Across 21 Hands [s2t418cp]

In [s2t418cpc1] (2-3-4-2-3-1-2-4), Cockroach Pig (k=3) [s2t418cpc2] updates at Hand #18 from Column 4 (depth 2) [s2t418cpc3]; derived-road colors never mean Banker or Player [s2t418cpc4] and every hand [s2t418cpc5] remains independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t418cp], Red (=) at Column 8 Row 1 on Cockroach Pig indicates whether Banker or Player won Hand #18.
TruthComparing the wrong columns. Compare Column 7, the one that just finished, with Column 4. In [s2t418cp], Column 7 has 2 beads. Column 4 has 2 beads. Same depth → red (=).
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