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TRANSITION GEOMETRY · S2T445CP · K=3

Cockroach Pig Multi-Column Transition [s2t445cp]: Pattern 15 Step 5 at Column 5 Row 4 → Red (=)

This bead is at Row 4. Column 2 stopped at Row 2, more than one row above → red (=). In multi-column transition [s2t445cp] (p15-stepped-pair, step 5), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #14 at Column 5 Row 4 against Column 2 (depth 2) across Resorts World Sentosa scoreboards.

Ref C2 (D2)
C5R4
Cockroach Pig k=3
RED (=)
Hand #14/21
P15·S5
Ask B / Ask P
BRB/RBR
Engine-Verified Scoreboard · 21 Hands

Read the Board at Table Speed

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

Transition [s2t445cp] (2-2-3-3-4-2-3-2): Cockroach Pig k=3 Mark #6 at C5R4 → This bead is at Row 4. Column 2 stopped at Row 2, more than one row above → 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 #6 [s2t445cp]

This bead is at Row 4. Column 2 stopped at Row 2, more than one row above → red (=).

  1. Column 5 goes down to Row 4, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 stopped at Row 2, more than one row above → 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 [s2t445cp]
Cockroach Pig (k=3) · Col 5 Row 4

Pattern p15-stepped-pair step 5 on Hand #14 of 21 (2-2-3-3-4-2-3-2).

Active vs Reference [s2t445cp]
Active Col 5 (Depth 4) vs Ref Col 2 (Depth 2)

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

Engine describeMark() [s2t445cp]
This bead is at Row 4. Column 2 stopped at Row 2, more than one row above → red (=).

1. Column 5 goes down to Row 4, so use Rule 2: look 3 columns back, at Column 2. 2. Column 2 stopped at Row 2, more than one row above → red (=).

Learner Guardrail [s2t445cp]
Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Verified against 13 total Cockroach Pig marks in [s2t445cp].

Next-Hand Ask-Road [s2t445cp]
Next B → BRB | Next P → RBR

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

TRANSITION PROOF · S2T445CP

Multi-Column Transition [s2t445cp]: Cockroach Pig (k=3) at C5R4 vs C2

Checking Cockroach Pig (曱甴路 (Gaat Jaat Lou), lookback k=3) under [s2t445cp] at Resorts World Sentosa scoreboards, active Column 5 Row 4 [s2t445cpa] compares with Column 2 (height 2) on Hand #14 to record Red (=): This bead is at Row 4. Column 2 stopped at Row 2, more than one row above → red (=).

Step trace [s2t445cpb1] confirms Cockroach Pig lookback k=3 [s2t445cpb2] compares Column 5 Row 4 (depth 4) [s2t445cpb3] with Column 2 (depth 2) [s2t445cpb4] under Rule 2 (Continue Down) to yield Red (=) [s2t445cpb5] while next-hand probes show B=BRB and P=RBR.

Transition Mark Ledger [s2t445cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t445cpm1 #1s2t445cpc C4R2s2t445cpr R2 (Ref C1)s2t445cpv Red (=)
s2t445cpm2 #2s2t445cpc C4R3s2t445cpr R2 (Ref C1)s2t445cpv Blue (≠)
s2t445cpm3 #3s2t445cpc C5R1s2t445cpr R1 (Ref C1)s2t445cpv Blue (≠)
s2t445cpm4 #4s2t445cpc C5R2s2t445cpr R2 (Ref C2)s2t445cpv Red (=)
  • [s2t445cpk1] Coordinate C5R4 [s2t445cpk2] compares against Ref C2 (depth 2) on Cockroach Pig k=3.
  • [s2t445cpk3] Active column depth 4 [s2t445cpk4] triggers Rule 2 (Continue Down) on Hand #14 for Red (=).
  • [s2t445cpk5] Next-hand 問路 probe [s2t445cpk6] after 21 hands outputs B=BRB and P=RBR.
INDEPENDENCE & SYMMETRY · S2T445CP

Streak-Break Geometry Across 21 Hands [s2t445cp]

At Resorts World Sentosa scoreboards [s2t445cpc1], Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) [s2t445cpc2] plots Red (=) for Column 5 Row 4 [s2t445cpc3]; scoreboard colors on derived grids never represent Banker or Player [s2t445cpc4] and hands [s2t445cpc5] are independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t445cp], Red (=) at Column 5 Row 4 on Cockroach Pig indicates whether Banker or Player won Hand #14.
TruthThinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead. In [s2t445cp], This bead is at Row 4. Column 2 stopped at Row 2, more than one row above → red (=).
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