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TRANSITION GEOMETRY · S2T369CP · K=3

Cockroach Pig Multi-Column Transition [s2t369cp]: Pattern 7 Step 9 at Column 6 Row 2 → Red (=)

This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=). In multi-column transition [s2t369cp] (p07-flat-drop, step 9), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #13 at Column 6 Row 2 against Column 3 (depth 4) across Manila Entertainment City tote boards.

Ref C3 (D4)
C6R2
Cockroach Pig k=3
RED (=)
Hand #13/20
P7·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 B B B P B B P P P B B B B P P
Big Eye Boy = = = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ =
Small Road = ≠ = ≠ ≠ = ≠ ≠ = ≠ = ≠ = ≠ =
Cockroach Pig ≠ = = = = ≠ ≠ = = ≠ =

Transition [s2t369cp] (2-2-4-1-2-3-4-2): Cockroach Pig k=3 Mark #4 at C6R2 → This bead is at Row 2. Column 3 has a bead at Row 2 too → 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 #4 [s2t369cp]

This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 3.
  2. Column 3 has a bead at Row 2 too → red (=).

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 [s2t369cp]
Cockroach Pig (k=3) · Col 6 Row 2

Pattern p07-flat-drop step 9 on Hand #13 of 20 (2-2-4-1-2-3-4-2).

Active vs Reference [s2t369cp]
Active Col 6 (Depth 3) vs Ref Col 3 (Depth 4)

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

Engine describeMark() [s2t369cp]
This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).

1. Column 6 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 3. 2. Column 3 has a bead at Row 2 too → red (=).

Learner Guardrail [s2t369cp]
Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Verified against 11 total Cockroach Pig marks in [s2t369cp].

Next-Hand Ask-Road [s2t369cp]
Next B → BBR | Next P → RRB

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

TRANSITION PROOF · S2T369CP

Multi-Column Transition [s2t369cp]: Cockroach Pig (k=3) at C6R2 vs C3

With lookback k=3 in [s2t369cp], Cockroach Pig (曱甴路 (Gaat Jaat Lou)) checks active Column 6 Row 2 [s2t369cpa] and Reference Column 3 (4 beads) on Hand #13 at Manila Entertainment City tote boards: This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).

Applying Rule 2 (Continue Down) [s2t369cpb1] on Cockroach Pig (k=3) [s2t369cpb2], Hand #13 at Column 6 Row 2 [s2t369cpb3] checks Column 3 (4 beads) [s2t369cpb4] to output Red (=) [s2t369cpb5] alongside Ask-Road B=BBR / P=RRB.

Transition Mark Ledger [s2t369cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t369cpm1 #1s2t369cpc C5R1s2t369cpr R1 (Ref C1)s2t369cpv Blue (≠)
s2t369cpm2 #2s2t369cpc C5R2s2t369cpr R2 (Ref C2)s2t369cpv Red (=)
s2t369cpm3 #3s2t369cpc C6R1s2t369cpr R1 (Ref C2)s2t369cpv Red (=)
s2t369cpm4 #4s2t369cpc C6R2s2t369cpr R2 (Ref C3)s2t369cpv Red (=)
  • [s2t369cpk1] Coordinate C6R2 [s2t369cpk2] compares against Ref C3 (depth 4) on Cockroach Pig k=3.
  • [s2t369cpk3] Active column depth 3 [s2t369cpk4] triggers Rule 2 (Continue Down) on Hand #13 for Red (=).
  • [s2t369cpk5] Next-hand 問路 probe [s2t369cpk6] after 20 hands outputs B=BBR and P=RRB.
INDEPENDENCE & SYMMETRY · S2T369CP

Streak-Break Geometry Across 20 Hands [s2t369cp]

Evaluating Hand #13 in [s2t369cpc1] confirms Cockroach Pig (k=3) [s2t369cpc2] is a deterministic function of Columns 3 and 6 [s2t369cpc3]; Red (=) and Blue (≠) never indicate Banker or Player [s2t369cpc4] across independent 8-deck deals [s2t369cpc5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t369cp], Red (=) at Column 6 Row 2 on Cockroach Pig indicates whether Banker or Player won Hand #13.
TruthThinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead. In [s2t369cp], This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).
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