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TRANSITION GEOMETRY · S2T438CP · K=3

Cockroach Pig Multi-Column Transition [s2t438cp]: Pattern 14 Step 8 at Column 8 Row 3 → Red (=)

This bead is at Row 3. Column 5 stopped at Row 1, more than one row above → red (=). In multi-column transition [s2t438cp] (p14-harmonic-arch, step 8), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #20 at Column 8 Row 3 against Column 5 (depth 1) across Monte-Carlo Salle Blanche displays.

Ref C5 (D1)
C8R3
Cockroach Pig k=3
RED (=)
Hand #20/21
P14·S8
Ask B / Ask P
RRR/BBB
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 B B B B
Big Eye Boy = ≠ = ≠ ≠ = = = ≠ ≠ ≠ = = = ≠ =
Small Road = = ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ = ≠ =
Cockroach Pig = = ≠ ≠ = ≠ = ≠ ≠ = =

Transition [s2t438cp] (4-2-3-3-1-2-2-4): Cockroach Pig k=3 Mark #10 at C8R3 → This bead is at Row 3. Column 5 stopped at Row 1, 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 #10 [s2t438cp]

This bead is at Row 3. Column 5 stopped at Row 1, more than one row above → red (=).

  1. Column 8 goes down to Row 3, so use Rule 2: look 3 columns back, at Column 5.
  2. Column 5 stopped at Row 1, more than one row above → 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 [s2t438cp]
Cockroach Pig (k=3) · Col 8 Row 3

Pattern p14-harmonic-arch step 8 on Hand #20 of 21 (4-2-3-3-1-2-2-4).

Active vs Reference [s2t438cp]
Active Col 8 (Depth 4) vs Ref Col 5 (Depth 1)

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

Engine describeMark() [s2t438cp]
This bead is at Row 3. Column 5 stopped at Row 1, more than one row above → red (=).

1. Column 8 goes down to Row 3, so use Rule 2: look 3 columns back, at Column 5. 2. Column 5 stopped at Row 1, more than one row above → red (=).

Learner Guardrail [s2t438cp]
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 [s2t438cp].

Next-Hand Ask-Road [s2t438cp]
Next B → RRR | Next P → BBB

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

TRANSITION PROOF · S2T438CP

Multi-Column Transition [s2t438cp]: Cockroach Pig (k=3) at C8R3 vs C5

Matrix entry [s2t438cp] verifies Rule 2 (Continue Down) for Cockroach Pig (k=3) at Monte-Carlo Salle Blanche displays where Column 8 Row 3 [s2t438cpa] meets Reference Column 5 (height 1) on Hand #20: This bead is at Row 3. Column 5 stopped at Row 1, more than one row above → red (=).

Step trace [s2t438cpb1] confirms Cockroach Pig lookback k=3 [s2t438cpb2] compares Column 8 Row 3 (depth 4) [s2t438cpb3] with Column 5 (depth 1) [s2t438cpb4] under Rule 2 (Continue Down) to yield Red (=) [s2t438cpb5] while next-hand probes show B=RRR and P=BBB.

Transition Mark Ledger [s2t438cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t438cpm1 #1s2t438cpc C4R2s2t438cpr R2 (Ref C1)s2t438cpv Red (=)
s2t438cpm2 #2s2t438cpc C4R3s2t438cpr R2 (Ref C1)s2t438cpv Red (=)
s2t438cpm3 #3s2t438cpc C5R1s2t438cpr R1 (Ref C1)s2t438cpv Blue (≠)
s2t438cpm4 #4s2t438cpc C6R1s2t438cpr R1 (Ref C2)s2t438cpv Blue (≠)
  • [s2t438cpk1] Coordinate C8R3 [s2t438cpk2] compares against Ref C5 (depth 1) on Cockroach Pig k=3.
  • [s2t438cpk3] Active column depth 4 [s2t438cpk4] triggers Rule 2 (Continue Down) on Hand #20 for Red (=).
  • [s2t438cpk5] Next-hand 問路 probe [s2t438cpk6] after 21 hands outputs B=RRR and P=BBB.
INDEPENDENCE & SYMMETRY · S2T438CP

Streak-Break Geometry Across 21 Hands [s2t438cp]

Within 21-hand shoe [s2t438cpc1], Cockroach Pig (lookback k=3) [s2t438cpc2] compares Column 8 Row 3 with Column 5 (depth 1) [s2t438cpc3] while derived symbols never denote Banker or Player [s2t438cpc4] and future hands [s2t438cpc5] stay independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t438cp], Red (=) at Column 8 Row 3 on Cockroach Pig indicates whether Banker or Player won Hand #20.
TruthThinking "no bead at this row" means blue. It is blue only when Column 5 stopped exactly one row above this bead. In [s2t438cp], This bead is at Row 3. Column 5 stopped at Row 1, more than one row above → red (=).
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