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TRANSITION GEOMETRY · S2T446CP · K=3

Cockroach Pig Multi-Column Transition [s2t446cp]: Pattern 15 Step 6 at Column 6 Row 1 → Blue (≠)

Column 5 has 4 beads. Column 2 has 2 beads. Different depth → blue (≠). In multi-column transition [s2t446cp] (p15-stepped-pair, step 6), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #15 at Column 6 Row 1 against Column 2 (depth 2) across Bellagio Las Vegas baccarat lounges.

Ref C2 (D2)
C6R1
Cockroach Pig k=3
BLUE (≠)
Hand #15/21
P15·S6
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 P P P B B B P P P P B B P P P P B
Big Eye Boy = = = ≠ ≠ = = = = = ≠ ≠ = ≠ = ≠ = ≠
Small Road = ≠ ≠ = ≠ ≠ = = ≠ ≠ = ≠ = = = =
Cockroach Pig = ≠ ≠ = ≠ = ≠ = ≠ = = ≠ ≠

Transition [s2t446cp] (2-2-3-3-4-2-4-1): Cockroach Pig k=3 Mark #7 at C6R1 → Column 5 has 4 beads. Column 2 has 2 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 #7 [s2t446cp]

Column 5 has 4 beads. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 4 beads. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t446cp]
Cockroach Pig (k=3) · Col 6 Row 1

Pattern p15-stepped-pair step 6 on Hand #15 of 21 (2-2-3-3-4-2-4-1).

Active vs Reference [s2t446cp]
Active Col 6 (Depth 2) vs Ref Col 2 (Depth 2)

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

Engine describeMark() [s2t446cp]
Column 5 has 4 beads. Column 2 has 2 beads. Different depth → blue (≠).

1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back. 2. Column 5 has 4 beads. Column 2 has 2 beads. Different depth → blue (≠).

Learner Guardrail [s2t446cp]
Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified against 13 total Cockroach Pig marks in [s2t446cp].

Next-Hand Ask-Road [s2t446cp]
Next B → RRR | Next P → BBB

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

TRANSITION PROOF · S2T446CP

Multi-Column Transition [s2t446cp]: Cockroach Pig (k=3) at C6R1 vs C2

With lookback k=3 in [s2t446cp], Cockroach Pig (曱甴路 (Gaat Jaat Lou)) checks active Column 6 Row 1 [s2t446cpa] and Reference Column 2 (2 beads) on Hand #15 at Bellagio Las Vegas baccarat lounges: Column 5 has 4 beads. Column 2 has 2 beads. Different depth → blue (≠).

Applying Rule 1 (New Column) [s2t446cpb1] on Cockroach Pig (k=3) [s2t446cpb2], Hand #15 at Column 6 Row 1 [s2t446cpb3] checks Column 2 (2 beads) [s2t446cpb4] to output Blue (≠) [s2t446cpb5] alongside Ask-Road B=RRR / P=BBB.

Transition Mark Ledger [s2t446cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t446cpm1 #1s2t446cpc C4R2s2t446cpr R2 (Ref C1)s2t446cpv Red (=)
s2t446cpm2 #2s2t446cpc C4R3s2t446cpr R2 (Ref C1)s2t446cpv Blue (≠)
s2t446cpm3 #3s2t446cpc C5R1s2t446cpr R1 (Ref C1)s2t446cpv Blue (≠)
s2t446cpm4 #4s2t446cpc C5R2s2t446cpr R2 (Ref C2)s2t446cpv Red (=)
  • [s2t446cpk1] Coordinate C6R1 [s2t446cpk2] compares against Ref C2 (depth 2) on Cockroach Pig k=3.
  • [s2t446cpk3] Active column depth 2 [s2t446cpk4] triggers Rule 1 (New Column) on Hand #15 for Blue (≠).
  • [s2t446cpk5] Next-hand 問路 probe [s2t446cpk6] after 21 hands outputs B=RRR and P=BBB.
INDEPENDENCE & SYMMETRY · S2T446CP

Streak-Break Geometry Across 21 Hands [s2t446cp]

Evaluating Hand #15 in [s2t446cpc1] confirms Cockroach Pig (k=3) [s2t446cpc2] is a deterministic function of Columns 2 and 6 [s2t446cpc3]; Red (=) and Blue (≠) never indicate Banker or Player [s2t446cpc4] across independent 8-deck deals [s2t446cpc5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t446cp], Blue (≠) at Column 6 Row 1 on Cockroach Pig indicates whether Banker or Player won Hand #15.
TruthComparing the wrong columns. Compare Column 5, the one that just finished, with Column 2. In [s2t446cp], Column 5 has 4 beads. Column 2 has 2 beads. Different depth → blue (≠).
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