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TRANSITION GEOMETRY · S2T416CP · K=3

Cockroach Pig Multi-Column Transition [s2t416cp]: Pattern 12 Step 6 at Column 7 Row 2 → Red (=)

This bead is at Row 2. Column 4 has a bead at Row 2 too → red (=). In multi-column transition [s2t416cp] (p12-escalating-run, step 6), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #17 at Column 7 Row 2 against Column 4 (depth 2) across Okada Manila grand pit terminals.

Ref C4 (D2)
C7R2
Cockroach Pig k=3
RED (=)
Hand #17/20
P12·S6
Ask B / Ask P
RBR/BRB
Engine-Verified Scoreboard · 20 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 P P B
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ = = ≠
Small Road = ≠ = ≠ = ≠ = = ≠ ≠ = = ≠ ≠
Cockroach Pig = = = = = ≠ = ≠ = ≠

Transition [s2t416cp] (2-3-4-2-3-1-4-1): Cockroach Pig k=3 Mark #7 at C7R2 → This bead is at Row 2. Column 4 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 #7 [s2t416cp]

This bead is at Row 2. Column 4 has a bead at Row 2 too → red (=).

  1. Column 7 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 4.
  2. Column 4 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 4 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t416cp]
Cockroach Pig (k=3) · Col 7 Row 2

Pattern p12-escalating-run step 6 on Hand #17 of 20 (2-3-4-2-3-1-4-1).

Active vs Reference [s2t416cp]
Active Col 7 (Depth 4) vs Ref Col 4 (Depth 2)

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

Engine describeMark() [s2t416cp]
This bead is at Row 2. Column 4 has a bead at Row 2 too → red (=).

1. Column 7 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 4. 2. Column 4 has a bead at Row 2 too → red (=).

Learner Guardrail [s2t416cp]
Thinking "no bead at this row" means blue. It is blue only when Column 4 stopped exactly one row above this bead.

Verified against 10 total Cockroach Pig marks in [s2t416cp].

Next-Hand Ask-Road [s2t416cp]
Next B → RBR | Next P → BRB

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

TRANSITION PROOF · S2T416CP

Multi-Column Transition [s2t416cp]: Cockroach Pig (k=3) at C7R2 vs C4

Benchmarking [s2t416cp] across Okada Manila grand pit terminals, Rule 2 (Continue Down) on Cockroach Pig (offset k=3) pairs Column 7 Row 2 [s2t416cpa] with lookback Column 4 (depth 2) at Hand #17: This bead is at Row 2. Column 4 has a bead at Row 2 too → red (=).

When Hand #17 [s2t416cpb1] reaches Column 7 Row 2 [s2t416cpb2], Cockroach Pig (k=3) [s2t416cpb3] inspects Column 4 (depth 2) [s2t416cpb4] under Rule 2 (Continue Down) for Red (=) [s2t416cpb5] with Ask-Road B=RBR, P=BRB.

Transition Mark Ledger [s2t416cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t416cpm1 #1s2t416cpc C4R2s2t416cpr R2 (Ref C1)s2t416cpv Red (=)
s2t416cpm2 #2s2t416cpc C5R1s2t416cpr R1 (Ref C1)s2t416cpv Red (=)
s2t416cpm3 #3s2t416cpc C5R2s2t416cpr R2 (Ref C2)s2t416cpv Red (=)
s2t416cpm4 #4s2t416cpc C5R3s2t416cpr R2 (Ref C2)s2t416cpv Red (=)
  • [s2t416cpk1] Coordinate C7R2 [s2t416cpk2] compares against Ref C4 (depth 2) on Cockroach Pig k=3.
  • [s2t416cpk3] Active column depth 4 [s2t416cpk4] triggers Rule 2 (Continue Down) on Hand #17 for Red (=).
  • [s2t416cpk5] Next-hand 問路 probe [s2t416cpk6] after 20 hands outputs B=RBR and P=BRB.
INDEPENDENCE & SYMMETRY · S2T416CP

Streak-Break Geometry Across 20 Hands [s2t416cp]

Summary [s2t416cpc1] for Cockroach Pig (k=3) [s2t416cpc2] confirms Column 7 Row 2 vs Column 4 (2 beads) [s2t416cpc3] is purely geometric; Red (=) and Blue (≠) never mean Banker or Player [s2t416cpc4] and deals [s2t416cpc5] stay independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t416cp], Red (=) at Column 7 Row 2 on Cockroach Pig indicates whether Banker or Player won Hand #17.
TruthThinking "no bead at this row" means blue. It is blue only when Column 4 stopped exactly one row above this bead. In [s2t416cp], This bead is at Row 2. Column 4 has a bead at Row 2 too → red (=).
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