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TRANSITION GEOMETRY · S2T417CP · K=3

Cockroach Pig Multi-Column Transition [s2t417cp]: Pattern 12 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 [s2t417cp] (p12-escalating-run, step 7), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #18 at Column 8 Row 2 against Column 5 (depth 3) across Resorts World Sentosa scoreboards.

Ref C5 (D3)
C8R2
Cockroach Pig k=3
RED (=)
Hand #18/20
P12·S7
Ask B / Ask P
BBB/RRR
Engine-Verified Scoreboard · 20 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 P P P P
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ = =
Small Road = ≠ = ≠ = ≠ = = ≠ ≠ ≠ ≠ = =
Cockroach Pig = = = = = ≠ ≠ = = ≠

Transition [s2t417cp] (2-3-4-2-3-1-1-4): Cockroach Pig k=3 Mark #8 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 #8 [s2t417cp]

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 [s2t417cp]
Cockroach Pig (k=3) · Col 8 Row 2

Pattern p12-escalating-run step 7 on Hand #18 of 20 (2-3-4-2-3-1-1-4).

Active vs Reference [s2t417cp]
Active Col 8 (Depth 4) vs Ref Col 5 (Depth 3)

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

Engine describeMark() [s2t417cp]
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 [s2t417cp]
Thinking "no bead at this row" means blue. It is blue only when Column 5 stopped exactly one row above this bead.

Verified against 10 total Cockroach Pig marks in [s2t417cp].

Next-Hand Ask-Road [s2t417cp]
Next B → BBB | Next P → RRR

Probed after Hand #20 across Big Eye Boy, Small Road, and Cockroach Pig.

TRANSITION PROOF · S2T417CP

Multi-Column Transition [s2t417cp]: Cockroach Pig (k=3) at C8R2 vs C5

Matrix entry [s2t417cp] verifies Rule 2 (Continue Down) for Cockroach Pig (k=3) at Resorts World Sentosa scoreboards where Column 8 Row 2 [s2t417cpa] meets Reference Column 5 (height 3) on Hand #18: This bead is at Row 2. Column 5 has a bead at Row 2 too → red (=).

Step trace [s2t417cpb1] confirms Cockroach Pig lookback k=3 [s2t417cpb2] compares Column 8 Row 2 (depth 4) [s2t417cpb3] with Column 5 (depth 3) [s2t417cpb4] under Rule 2 (Continue Down) to yield Red (=) [s2t417cpb5] while next-hand probes show B=BBB and P=RRR.

Transition Mark Ledger [s2t417cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t417cpm1 #1s2t417cpc C4R2s2t417cpr R2 (Ref C1)s2t417cpv Red (=)
s2t417cpm2 #2s2t417cpc C5R1s2t417cpr R1 (Ref C1)s2t417cpv Red (=)
s2t417cpm3 #3s2t417cpc C5R2s2t417cpr R2 (Ref C2)s2t417cpv Red (=)
s2t417cpm4 #4s2t417cpc C5R3s2t417cpr R2 (Ref C2)s2t417cpv Red (=)
  • [s2t417cpk1] Coordinate C8R2 [s2t417cpk2] compares against Ref C5 (depth 3) on Cockroach Pig k=3.
  • [s2t417cpk3] Active column depth 4 [s2t417cpk4] triggers Rule 2 (Continue Down) on Hand #18 for Red (=).
  • [s2t417cpk5] Next-hand 問路 probe [s2t417cpk6] after 20 hands outputs B=BBB and P=RRR.
INDEPENDENCE & SYMMETRY · S2T417CP

Streak-Break Geometry Across 20 Hands [s2t417cp]

Within 20-hand shoe [s2t417cpc1], Cockroach Pig (lookback k=3) [s2t417cpc2] compares Column 8 Row 2 with Column 5 (depth 3) [s2t417cpc3] while derived symbols never denote Banker or Player [s2t417cpc4] and future hands [s2t417cpc5] stay independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t417cp], Red (=) at Column 8 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 5 stopped exactly one row above this bead. In [s2t417cp], This bead is at Row 2. Column 5 has a bead at Row 2 too → red (=).
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