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TRANSITION GEOMETRY · S2T450CP · K=3

Cockroach Pig Multi-Column Transition [s2t450cp]: Pattern 15 Step 10 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 [s2t450cp] (p15-stepped-pair, step 10), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #18 at Column 7 Row 2 against Column 4 (depth 3) across Marina Bay Sands electronic scoreboards.

Ref C4 (D3)
C7R2
Cockroach Pig k=3
RED (=)
Hand #18/22
P15·S10
Ask B / Ask P
BRR/RBB
Engine-Verified Scoreboard · 22 Hands

Read the Board at Table Speed

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

Transition [s2t450cp] (2-2-3-3-4-2-3-3): Cockroach Pig k=3 Mark #10 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 #10 [s2t450cp]

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 [s2t450cp]
Cockroach Pig (k=3) · Col 7 Row 2

Pattern p15-stepped-pair step 10 on Hand #18 of 22 (2-2-3-3-4-2-3-3).

Active vs Reference [s2t450cp]
Active Col 7 (Depth 3) vs Ref Col 4 (Depth 3)

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

Engine describeMark() [s2t450cp]
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 [s2t450cp]
Thinking "no bead at this row" means blue. It is blue only when Column 4 stopped exactly one row above this bead.

Verified against 14 total Cockroach Pig marks in [s2t450cp].

Next-Hand Ask-Road [s2t450cp]
Next B → BRR | Next P → RBB

Probed after Hand #22 across Big Eye Boy, Small Road, and Cockroach Pig.

TRANSITION PROOF · S2T450CP

Multi-Column Transition [s2t450cp]: Cockroach Pig (k=3) at C7R2 vs C4

At Hand #18 in sequence [s2t450cp] (2-2-3-3-4-2-3-3), Cockroach Pig (k=3) resolves Column 7 Row 2 [s2t450cpa] relative to Column 4 (depth 3) on Marina Bay Sands electronic scoreboards displays: This bead is at Row 2. Column 4 has a bead at Row 2 too → red (=).

Comparing Column 7 Row 2 [s2t450cpb1] with lookback k=3 Column 4 (depth 3) [s2t450cpb2] on Cockroach Pig [s2t450cpb3] produces Red (=) via Rule 2 (Continue Down) [s2t450cpb4], and the 問路 table [s2t450cpb5] lists Next Banker BRR versus Next Player RBB.

Transition Mark Ledger [s2t450cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t450cpm1 #1s2t450cpc C4R2s2t450cpr R2 (Ref C1)s2t450cpv Red (=)
s2t450cpm2 #2s2t450cpc C4R3s2t450cpr R2 (Ref C1)s2t450cpv Blue (≠)
s2t450cpm3 #3s2t450cpc C5R1s2t450cpr R1 (Ref C1)s2t450cpv Blue (≠)
s2t450cpm4 #4s2t450cpc C5R2s2t450cpr R2 (Ref C2)s2t450cpv Red (=)
  • [s2t450cpk1] Coordinate C7R2 [s2t450cpk2] compares against Ref C4 (depth 3) on Cockroach Pig k=3.
  • [s2t450cpk3] Active column depth 3 [s2t450cpk4] triggers Rule 2 (Continue Down) on Hand #18 for Red (=).
  • [s2t450cpk5] Next-hand 問路 probe [s2t450cpk6] after 22 hands outputs B=BRR and P=RBB.
INDEPENDENCE & SYMMETRY · S2T450CP

Streak-Break Geometry Across 22 Hands [s2t450cp]

Across 22-hand board [s2t450cpc1] (2-2-3-3-4-2-3-3) [s2t450cpc2], Red (=) and Blue (≠) on Cockroach Pig (k=3) [s2t450cpc3] record column symmetry rather than Banker or Player [s2t450cpc4], and every 8-deck hand at Marina Bay Sands electronic scoreboards [s2t450cpc5] remains statistically independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t450cp], Red (=) at Column 7 Row 2 on Cockroach Pig indicates whether Banker or Player won Hand #18.
TruthThinking "no bead at this row" means blue. It is blue only when Column 4 stopped exactly one row above this bead. In [s2t450cp], This bead is at Row 2. Column 4 has a bead at Row 2 too → red (=).
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