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TRANSITION GEOMETRY · S2T440CP · K=3

Cockroach Pig Multi-Column Transition [s2t440cp]: Pattern 14 Step 10 at Column 4 Row 2 → Red (=)

This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=). In multi-column transition [s2t440cp] (p14-harmonic-arch, step 10), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #11 at Column 4 Row 2 against Column 1 (depth 4) across London Mayfair private gaming rooms.

Ref C1 (D4)
C4R2
Cockroach Pig k=3
RED (=)
Hand #11/21
P14·S10
Ask B / Ask P
BRR/RBB
Engine-Verified Scoreboard · 21 Hands

Read the Board at Table Speed

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

Transition [s2t440cp] (4-2-3-3-1-2-3-3): Cockroach Pig k=3 Mark #1 at C4R2 → This bead is at Row 2. Column 1 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 #1 [s2t440cp]

This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).

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

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t440cp]
Cockroach Pig (k=3) · Col 4 Row 2

Pattern p14-harmonic-arch step 10 on Hand #11 of 21 (4-2-3-3-1-2-3-3).

Active vs Reference [s2t440cp]
Active Col 4 (Depth 3) vs Ref Col 1 (Depth 4)

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

Engine describeMark() [s2t440cp]
This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).

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

Learner Guardrail [s2t440cp]
Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Verified against 11 total Cockroach Pig marks in [s2t440cp].

Next-Hand Ask-Road [s2t440cp]
Next B → BRR | Next P → RBB

Probed after Hand #21 across Big Eye Boy, Small Road, and Cockroach Pig.

TRANSITION PROOF · S2T440CP

Multi-Column Transition [s2t440cp]: Cockroach Pig (k=3) at C4R2 vs C1

Structural audit [s2t440cp] follows Cockroach Pig (k=3) on London Mayfair private gaming rooms boards as Hand #11 places a bead at Column 4 Row 2 [s2t440cpa] opposite Column 1 (depth 4): This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).

At coordinate C4R2 [s2t440cpb1], Cockroach Pig (k=3) [s2t440cpb2] tests Column 1 (depth 4) [s2t440cpb3] under Rule 2 (Continue Down) [s2t440cpb4] to confirm Red (=) [s2t440cpb5] and next-hand probes B=BRR / P=RBB.

Transition Mark Ledger [s2t440cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t440cpm1 #1s2t440cpc C4R2s2t440cpr R2 (Ref C1)s2t440cpv Red (=)
s2t440cpm2 #2s2t440cpc C4R3s2t440cpr R2 (Ref C1)s2t440cpv Red (=)
s2t440cpm3 #3s2t440cpc C5R1s2t440cpr R1 (Ref C1)s2t440cpv Blue (≠)
s2t440cpm4 #4s2t440cpc C6R1s2t440cpr R1 (Ref C2)s2t440cpv Blue (≠)
  • [s2t440cpk1] Coordinate C4R2 [s2t440cpk2] compares against Ref C1 (depth 4) on Cockroach Pig k=3.
  • [s2t440cpk3] Active column depth 3 [s2t440cpk4] triggers Rule 2 (Continue Down) on Hand #11 for Red (=).
  • [s2t440cpk5] Next-hand 問路 probe [s2t440cpk6] after 21 hands outputs B=BRR and P=RBB.
INDEPENDENCE & SYMMETRY · S2T440CP

Streak-Break Geometry Across 21 Hands [s2t440cp]

Board profile 4-2-3-3-1-2-3-3 [s2t440cpc1] illustrates that Cockroach Pig (k=3) [s2t440cpc2] at Column 4 Row 2 vs Column 1 [s2t440cpc3] measures historical alignment; derived colors never mean Banker or Player [s2t440cpc4] and 8-deck hands [s2t440cpc5] are independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t440cp], Red (=) at Column 4 Row 2 on Cockroach Pig indicates whether Banker or Player won Hand #11.
TruthThinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead. In [s2t440cp], This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).
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