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TRANSITION GEOMETRY · S2T306CP · K=3

Cockroach Pig Multi-Column Transition [s2t306cp]: Pattern 1 Step 6 at Column 6 Row 2 → Blue (≠)

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠). In multi-column transition [s2t306cp] (p01-paired-climb, step 6), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #12 at Column 6 Row 2 against Column 3 (depth 1) across Bellagio Las Vegas baccarat lounges.

Ref C3 (D1)
C6R2
Cockroach Pig k=3
BLUE (≠)
Hand #12/19
P1·S6
Ask B / Ask P
RRR/BBB
Engine-Verified Scoreboard · 19 Hands

Read the Board at Table Speed

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

Transition [s2t306cp] (2-2-1-3-2-4-4-1): Cockroach Pig k=3 Mark #6 at C6R2 → This bead is at Row 2. Column 3 stopped at Row 1, one row above → 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 #6 [s2t306cp]

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 3.
  2. Column 3 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t306cp]
Cockroach Pig (k=3) · Col 6 Row 2

Pattern p01-paired-climb step 6 on Hand #12 of 19 (2-2-1-3-2-4-4-1).

Active vs Reference [s2t306cp]
Active Col 6 (Depth 4) vs Ref Col 3 (Depth 1)

Governed by Rule 2 (Continue Down) with lookback offset k=3.

Engine describeMark() [s2t306cp]
This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

1. Column 6 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 3. 2. Column 3 stopped at Row 1, one row above → blue (≠).

Learner Guardrail [s2t306cp]
Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Verified against 13 total Cockroach Pig marks in [s2t306cp].

Next-Hand Ask-Road [s2t306cp]
Next B → RRR | Next P → BBB

Probed after Hand #19 across Big Eye Boy, Small Road, and Cockroach Pig.

TRANSITION PROOF · S2T306CP

Multi-Column Transition [s2t306cp]: Cockroach Pig (k=3) at C6R2 vs C3

With lookback k=3 in [s2t306cp], Cockroach Pig (曱甴路 (Gaat Jaat Lou)) checks active Column 6 Row 2 [s2t306cpa] and Reference Column 3 (1 beads) on Hand #12 at Bellagio Las Vegas baccarat lounges: This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

Applying Rule 2 (Continue Down) [s2t306cpb1] on Cockroach Pig (k=3) [s2t306cpb2], Hand #12 at Column 6 Row 2 [s2t306cpb3] checks Column 3 (1 beads) [s2t306cpb4] to output Blue (≠) [s2t306cpb5] alongside Ask-Road B=RRR / P=BBB.

Transition Mark Ledger [s2t306cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t306cpm1 #1s2t306cpc C4R2s2t306cpr R2 (Ref C1)s2t306cpv Red (=)
s2t306cpm2 #2s2t306cpc C4R3s2t306cpr R2 (Ref C1)s2t306cpv Blue (≠)
s2t306cpm3 #3s2t306cpc C5R1s2t306cpr R1 (Ref C1)s2t306cpv Blue (≠)
s2t306cpm4 #4s2t306cpc C5R2s2t306cpr R2 (Ref C2)s2t306cpv Red (=)
  • [s2t306cpk1] Coordinate C6R2 [s2t306cpk2] compares against Ref C3 (depth 1) on Cockroach Pig k=3.
  • [s2t306cpk3] Active column depth 4 [s2t306cpk4] triggers Rule 2 (Continue Down) on Hand #12 for Blue (≠).
  • [s2t306cpk5] Next-hand 問路 probe [s2t306cpk6] after 19 hands outputs B=RRR and P=BBB.
INDEPENDENCE & SYMMETRY · S2T306CP

Streak-Break Geometry Across 19 Hands [s2t306cp]

Evaluating Hand #12 in [s2t306cpc1] confirms Cockroach Pig (k=3) [s2t306cpc2] is a deterministic function of Columns 3 and 6 [s2t306cpc3]; Red (=) and Blue (≠) never indicate Banker or Player [s2t306cpc4] across independent 8-deck deals [s2t306cpc5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t306cp], Blue (≠) at Column 6 Row 2 on Cockroach Pig indicates whether Banker or Player won Hand #12.
TruthThinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead. In [s2t306cp], This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).
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