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TRANSITION GEOMETRY · S2T323CP · K=3

Cockroach Pig Multi-Column Transition [s2t323cp]: Pattern 3 Step 3 at Column 5 Row 4 → Blue (≠)

This bead is at Row 4. Column 2 stopped at Row 3, one row above → blue (≠). In multi-column transition [s2t323cp] (p03-double-bridge, step 3), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #13 at Column 5 Row 4 against Column 2 (depth 3) across Las Vegas Strip high-limit pits.

Ref C2 (D3)
C5R4
Cockroach Pig k=3
BLUE (≠)
Hand #13/18
P3·S3
Ask B / Ask P
BBB/RRR
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Transition [s2t323cp] (2-3-2-2-4-1-1-3): Cockroach Pig k=3 Mark #5 at C5R4 → This bead is at Row 4. Column 2 stopped at Row 3, one row above → blue (≠).

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 #5 [s2t323cp]

This bead is at Row 4. Column 2 stopped at Row 3, one row above → blue (≠).

  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 3, one row above → blue (≠).

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 [s2t323cp]
Cockroach Pig (k=3) · Col 5 Row 4

Pattern p03-double-bridge step 3 on Hand #13 of 18 (2-3-2-2-4-1-1-3).

Active vs Reference [s2t323cp]
Active Col 5 (Depth 4) vs Ref Col 2 (Depth 3)

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

Engine describeMark() [s2t323cp]
This bead is at Row 4. Column 2 stopped at Row 3, one row above → blue (≠).

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 3, one row above → blue (≠).

Learner Guardrail [s2t323cp]
Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Verified against 10 total Cockroach Pig marks in [s2t323cp].

Next-Hand Ask-Road [s2t323cp]
Next B → BBB | Next P → RRR

Probed after Hand #18 across Big Eye Boy, Small Road, and Cockroach Pig.

TRANSITION PROOF · S2T323CP

Multi-Column Transition [s2t323cp]: Cockroach Pig (k=3) at C5R4 vs C2

Engine verification [s2t323cp] confirms Blue (≠) on Cockroach Pig (k=3) at Las Vegas Strip high-limit pits when Hand #13 occupies Column 5 Row 4 [s2t323cpa] opposite Column 2 (depth 3): This bead is at Row 4. Column 2 stopped at Row 3, one row above → blue (≠).

Across 18 hands [s2t323cpb1], Cockroach Pig (k=3) [s2t323cpb2] resolves Hand #13 at Column 5 Row 4 [s2t323cpb3] via Column 2 (depth 3) [s2t323cpb4] as Blue (≠) [s2t323cpb5] with B=BBB and P=RRR.

Transition Mark Ledger [s2t323cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t323cpm1 #1s2t323cpc C4R2s2t323cpr R2 (Ref C1)s2t323cpv Red (=)
s2t323cpm2 #2s2t323cpc C5R1s2t323cpr R1 (Ref C1)s2t323cpv Red (=)
s2t323cpm3 #3s2t323cpc C5R2s2t323cpr R2 (Ref C2)s2t323cpv Red (=)
s2t323cpm4 #4s2t323cpc C5R3s2t323cpr R2 (Ref C2)s2t323cpv Red (=)
  • [s2t323cpk1] Coordinate C5R4 [s2t323cpk2] compares against Ref C2 (depth 3) on Cockroach Pig k=3.
  • [s2t323cpk3] Active column depth 4 [s2t323cpk4] triggers Rule 2 (Continue Down) on Hand #13 for Blue (≠).
  • [s2t323cpk5] Next-hand 問路 probe [s2t323cpk6] after 18 hands outputs B=BBB and P=RRR.
INDEPENDENCE & SYMMETRY · S2T323CP

Streak-Break Geometry Across 18 Hands [s2t323cp]

Audit [s2t323cpc1] verifies that Cockroach Pig (k=3) [s2t323cpc2] at Hand #13 (C5R4) [s2t323cpc3] encodes Rule 1 and Rule 2 geometry; Red (=) and Blue (≠) never represent Banker or Player [s2t323cpc4] on independent hands [s2t323cpc5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t323cp], Blue (≠) at Column 5 Row 4 on Cockroach Pig indicates whether Banker or Player won Hand #13.
TruthThinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead. In [s2t323cp], This bead is at Row 4. Column 2 stopped at Row 3, one row above → blue (≠).
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