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TRANSITION GEOMETRY · S2T327CP · K=3

Cockroach Pig Multi-Column Transition [s2t327cp]: Pattern 3 Step 7 at Column 8 Row 2 → Red (=)

This bead is at Row 2. Column 5 has a bead at Row 2 too → red (=). In multi-column transition [s2t327cp] (p03-double-bridge, step 7), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #17 at Column 8 Row 2 against Column 5 (depth 4) across Manila Entertainment City tote boards.

Ref C5 (D4)
C8R2
Cockroach Pig k=3
RED (=)
Hand #17/19
P3·S7
Ask B / Ask P
BBR/RRB
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 P P B B B B P B P P P P
Big Eye Boy = ≠ ≠ = ≠ = = = ≠ = ≠ ≠ = ≠ = =
Small Road = = = ≠ = ≠ = ≠ ≠ ≠ ≠ = =
Cockroach Pig = = = = ≠ ≠ ≠ ≠ = = =

Transition [s2t327cp] (2-3-2-2-4-1-1-4): Cockroach Pig k=3 Mark #9 at C8R2 → This bead is at Row 2. Column 5 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 #9 [s2t327cp]

This bead is at Row 2. Column 5 has a bead at Row 2 too → red (=).

  1. Column 8 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 5.
  2. Column 5 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 5 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t327cp]
Cockroach Pig (k=3) · Col 8 Row 2

Pattern p03-double-bridge step 7 on Hand #17 of 19 (2-3-2-2-4-1-1-4).

Active vs Reference [s2t327cp]
Active Col 8 (Depth 4) vs Ref Col 5 (Depth 4)

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

Engine describeMark() [s2t327cp]
This bead is at Row 2. Column 5 has a bead at Row 2 too → red (=).

1. Column 8 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 5. 2. Column 5 has a bead at Row 2 too → red (=).

Learner Guardrail [s2t327cp]
Thinking "no bead at this row" means blue. It is blue only when Column 5 stopped exactly one row above this bead.

Verified against 11 total Cockroach Pig marks in [s2t327cp].

Next-Hand Ask-Road [s2t327cp]
Next B → BBR | Next P → RRB

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

TRANSITION PROOF · S2T327CP

Multi-Column Transition [s2t327cp]: Cockroach Pig (k=3) at C8R2 vs C5

With lookback k=3 in [s2t327cp], Cockroach Pig (曱甴路 (Gaat Jaat Lou)) checks active Column 8 Row 2 [s2t327cpa] and Reference Column 5 (4 beads) on Hand #17 at Manila Entertainment City tote boards: This bead is at Row 2. Column 5 has a bead at Row 2 too → red (=).

Applying Rule 2 (Continue Down) [s2t327cpb1] on Cockroach Pig (k=3) [s2t327cpb2], Hand #17 at Column 8 Row 2 [s2t327cpb3] checks Column 5 (4 beads) [s2t327cpb4] to output Red (=) [s2t327cpb5] alongside Ask-Road B=BBR / P=RRB.

Transition Mark Ledger [s2t327cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t327cpm1 #1s2t327cpc C4R2s2t327cpr R2 (Ref C1)s2t327cpv Red (=)
s2t327cpm2 #2s2t327cpc C5R1s2t327cpr R1 (Ref C1)s2t327cpv Red (=)
s2t327cpm3 #3s2t327cpc C5R2s2t327cpr R2 (Ref C2)s2t327cpv Red (=)
s2t327cpm4 #4s2t327cpc C5R3s2t327cpr R2 (Ref C2)s2t327cpv Red (=)
  • [s2t327cpk1] Coordinate C8R2 [s2t327cpk2] compares against Ref C5 (depth 4) on Cockroach Pig k=3.
  • [s2t327cpk3] Active column depth 4 [s2t327cpk4] triggers Rule 2 (Continue Down) on Hand #17 for Red (=).
  • [s2t327cpk5] Next-hand 問路 probe [s2t327cpk6] after 19 hands outputs B=BBR and P=RRB.
INDEPENDENCE & SYMMETRY · S2T327CP

Streak-Break Geometry Across 19 Hands [s2t327cp]

Evaluating Hand #17 in [s2t327cpc1] confirms Cockroach Pig (k=3) [s2t327cpc2] is a deterministic function of Columns 5 and 8 [s2t327cpc3]; Red (=) and Blue (≠) never indicate Banker or Player [s2t327cpc4] across independent 8-deck deals [s2t327cpc5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t327cp], Red (=) at Column 8 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 5 stopped exactly one row above this bead. In [s2t327cp], This bead is at Row 2. Column 5 has a bead at Row 2 too → red (=).
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