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TRANSITION GEOMETRY · S2T341CP · K=3

Cockroach Pig Multi-Column Transition [s2t341cp]: Pattern 5 Step 1 at Column 6 Row 3 → Red (=)

This bead is at Row 3. Column 3 has a bead at Row 3 too → red (=). In multi-column transition [s2t341cp] (p05-ascending-taper, step 1), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #15 at Column 6 Row 3 against Column 3 (depth 3) across Manila Entertainment City tote boards.

Ref C3 (D3)
C6R3
Cockroach Pig k=3
RED (=)
Hand #15/19
P5·S1
Ask B / Ask P
RBB/BRR
Engine-Verified Scoreboard · 19 Hands

Read the Board at Table Speed

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

Transition [s2t341cp] (2-4-3-2-1-3-2-2): Cockroach Pig k=3 Mark #5 at C6R3 → This bead is at Row 3. Column 3 has a bead at Row 3 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 #5 [s2t341cp]

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

  1. Column 6 goes down to Row 3, so use Rule 2: look 3 columns back, at Column 3.
  2. Column 3 has a bead at Row 3 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 [s2t341cp]
Cockroach Pig (k=3) · Col 6 Row 3

Pattern p05-ascending-taper step 1 on Hand #15 of 19 (2-4-3-2-1-3-2-2).

Active vs Reference [s2t341cp]
Active Col 6 (Depth 3) vs Ref Col 3 (Depth 3)

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

Engine describeMark() [s2t341cp]
This bead is at Row 3. Column 3 has a bead at Row 3 too → red (=).

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

Learner Guardrail [s2t341cp]
Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Verified against 9 total Cockroach Pig marks in [s2t341cp].

Next-Hand Ask-Road [s2t341cp]
Next B → RBB | Next P → BRR

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

TRANSITION PROOF · S2T341CP

Multi-Column Transition [s2t341cp]: Cockroach Pig (k=3) at C6R3 vs C3

With lookback k=3 in [s2t341cp], Cockroach Pig (曱甴路 (Gaat Jaat Lou)) checks active Column 6 Row 3 [s2t341cpa] and Reference Column 3 (3 beads) on Hand #15 at Manila Entertainment City tote boards: This bead is at Row 3. Column 3 has a bead at Row 3 too → red (=).

Applying Rule 2 (Continue Down) [s2t341cpb1] on Cockroach Pig (k=3) [s2t341cpb2], Hand #15 at Column 6 Row 3 [s2t341cpb3] checks Column 3 (3 beads) [s2t341cpb4] to output Red (=) [s2t341cpb5] alongside Ask-Road B=RBB / P=BRR.

Transition Mark Ledger [s2t341cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t341cpm1 #1s2t341cpc C4R2s2t341cpr R2 (Ref C1)s2t341cpv Red (=)
s2t341cpm2 #2s2t341cpc C5R1s2t341cpr R1 (Ref C1)s2t341cpv Red (=)
s2t341cpm3 #3s2t341cpc C6R1s2t341cpr R1 (Ref C2)s2t341cpv Blue (≠)
s2t341cpm4 #4s2t341cpc C6R2s2t341cpr R2 (Ref C3)s2t341cpv Red (=)
  • [s2t341cpk1] Coordinate C6R3 [s2t341cpk2] compares against Ref C3 (depth 3) on Cockroach Pig k=3.
  • [s2t341cpk3] Active column depth 3 [s2t341cpk4] triggers Rule 2 (Continue Down) on Hand #15 for Red (=).
  • [s2t341cpk5] Next-hand 問路 probe [s2t341cpk6] after 19 hands outputs B=RBB and P=BRR.
INDEPENDENCE & SYMMETRY · S2T341CP

Streak-Break Geometry Across 19 Hands [s2t341cp]

Evaluating Hand #15 in [s2t341cpc1] confirms Cockroach Pig (k=3) [s2t341cpc2] is a deterministic function of Columns 3 and 6 [s2t341cpc3]; Red (=) and Blue (≠) never indicate Banker or Player [s2t341cpc4] across independent 8-deck deals [s2t341cpc5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t341cp], Red (=) at Column 6 Row 3 on Cockroach Pig indicates whether Banker or Player won Hand #15.
TruthThinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead. In [s2t341cp], This bead is at Row 3. Column 3 has a bead at Row 3 too → red (=).
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