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TRANSITION GEOMETRY · S2T411CP · K=3

Cockroach Pig Multi-Column Transition [s2t411cp]: Pattern 12 Step 1 at Column 5 Row 2 → Red (=)

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=). In multi-column transition [s2t411cp] (p12-escalating-run, step 1), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #13 at Column 5 Row 2 against Column 2 (depth 3) across Manila Entertainment City tote boards.

Ref C2 (D3)
C5R2
Cockroach Pig k=3
RED (=)
Hand #13/19
P12·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 B B B B P P B B B P B B P P
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ =
Small Road = ≠ = ≠ = ≠ = = ≠ ≠ = ≠ ≠
Cockroach Pig = = = = = ≠ = = =

Transition [s2t411cp] (2-3-4-2-3-1-2-2): Cockroach Pig k=3 Mark #3 at C5R2 → This bead is at Row 2. Column 2 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 #3 [s2t411cp]

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 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 2 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t411cp]
Cockroach Pig (k=3) · Col 5 Row 2

Pattern p12-escalating-run step 1 on Hand #13 of 19 (2-3-4-2-3-1-2-2).

Active vs Reference [s2t411cp]
Active Col 5 (Depth 3) vs Ref Col 2 (Depth 3)

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

Engine describeMark() [s2t411cp]
This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2. 2. Column 2 has a bead at Row 2 too → red (=).

Learner Guardrail [s2t411cp]
Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Verified against 9 total Cockroach Pig marks in [s2t411cp].

Next-Hand Ask-Road [s2t411cp]
Next B → RBB | Next P → BRR

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

TRANSITION PROOF · S2T411CP

Multi-Column Transition [s2t411cp]: Cockroach Pig (k=3) at C5R2 vs C2

Inside geometry record [s2t411cp], Hand #13 of 19 reaches Big Road Column 5 Row 2 [s2t411cpa] while Cockroach Pig (k=3) inspects Reference Column 2 (3 beads) at Manila Entertainment City tote boards: This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

Applying Rule 2 (Continue Down) [s2t411cpb1] on Cockroach Pig (k=3) [s2t411cpb2], Hand #13 at Column 5 Row 2 [s2t411cpb3] checks Column 2 (3 beads) [s2t411cpb4] to output Red (=) [s2t411cpb5] alongside Ask-Road B=RBB / P=BRR.

Transition Mark Ledger [s2t411cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t411cpm1 #1s2t411cpc C4R2s2t411cpr R2 (Ref C1)s2t411cpv Red (=)
s2t411cpm2 #2s2t411cpc C5R1s2t411cpr R1 (Ref C1)s2t411cpv Red (=)
s2t411cpm3 #3s2t411cpc C5R2s2t411cpr R2 (Ref C2)s2t411cpv Red (=)
s2t411cpm4 #4s2t411cpc C5R3s2t411cpr R2 (Ref C2)s2t411cpv Red (=)
  • [s2t411cpk1] Coordinate C5R2 [s2t411cpk2] compares against Ref C2 (depth 3) on Cockroach Pig k=3.
  • [s2t411cpk3] Active column depth 3 [s2t411cpk4] triggers Rule 2 (Continue Down) on Hand #13 for Red (=).
  • [s2t411cpk5] Next-hand 問路 probe [s2t411cpk6] after 19 hands outputs B=RBB and P=BRR.
INDEPENDENCE & SYMMETRY · S2T411CP

Streak-Break Geometry Across 19 Hands [s2t411cp]

In [s2t411cpc1] (2-3-4-2-3-1-2-2), Cockroach Pig (k=3) [s2t411cpc2] updates at Hand #13 from Column 2 (depth 3) [s2t411cpc3]; derived-road colors never mean Banker or Player [s2t411cpc4] and every hand [s2t411cpc5] remains independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t411cp], Red (=) at Column 5 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 2 stopped exactly one row above this bead. In [s2t411cp], This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
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