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TRANSITION GEOMETRY · S2T441CP · K=3

Cockroach Pig Multi-Column Transition [s2t441cp]: Pattern 15 Step 1 at Column 5 Row 1 → Blue (≠)

Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠). In multi-column transition [s2t441cp] (p15-stepped-pair, step 1), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #11 at Column 5 Row 1 against Column 1 (depth 2) across Paradise City Incheon digital totems.

Ref C1 (D2)
C5R1
Cockroach Pig k=3
BLUE (≠)
Hand #11/20
P15·S1
Ask B / Ask P
RRB/BBR
Engine-Verified Scoreboard · 20 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 P P
Big Eye Boy = = = ≠ ≠ = = = = = ≠ ≠ = ≠ = = =
Small Road = ≠ ≠ = ≠ ≠ = = ≠ ≠ = ≠ = ≠ =
Cockroach Pig = ≠ ≠ = ≠ = ≠ = ≠ = ≠ =

Transition [s2t441cp] (2-2-3-3-4-2-2-2): Cockroach Pig k=3 Mark #3 at C5R1 → Column 4 has 3 beads. Column 1 has 2 beads. Different depth → 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 #3 [s2t441cp]

Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t441cp]
Cockroach Pig (k=3) · Col 5 Row 1

Pattern p15-stepped-pair step 1 on Hand #11 of 20 (2-2-3-3-4-2-2-2).

Active vs Reference [s2t441cp]
Active Col 5 (Depth 4) vs Ref Col 1 (Depth 2)

Governed by Rule 1 (New Column) with lookback offset k=3.

Engine describeMark() [s2t441cp]
Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back. 2. Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Learner Guardrail [s2t441cp]
Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified against 12 total Cockroach Pig marks in [s2t441cp].

Next-Hand Ask-Road [s2t441cp]
Next B → RRB | Next P → BBR

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

TRANSITION PROOF · S2T441CP

Multi-Column Transition [s2t441cp]: Cockroach Pig (k=3) at C5R1 vs C1

During Hand #11 of [s2t441cp], the Cockroach Pig grid (lookback k=3) at Paradise City Incheon digital totems maps Big Road Column 5 Row 1 [s2t441cpa] to Reference Column 1 (depth 2) under Rule 1 (New Column): Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Geometry check [s2t441cpb1] on Cockroach Pig (k=3) [s2t441cpb2] pairs active Column 5 Row 1 [s2t441cpb3] with Reference Column 1 (height 2) [s2t441cpb4] under Rule 1 (New Column) (Blue (≠)) [s2t441cpb5] and next-hand codes B=RRB, P=BBR.

Transition Mark Ledger [s2t441cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t441cpm1 #1s2t441cpc C4R2s2t441cpr R2 (Ref C1)s2t441cpv Red (=)
s2t441cpm2 #2s2t441cpc C4R3s2t441cpr R2 (Ref C1)s2t441cpv Blue (≠)
s2t441cpm3 #3s2t441cpc C5R1s2t441cpr R1 (Ref C1)s2t441cpv Blue (≠)
s2t441cpm4 #4s2t441cpc C5R2s2t441cpr R2 (Ref C2)s2t441cpv Red (=)
  • [s2t441cpk1] Coordinate C5R1 [s2t441cpk2] compares against Ref C1 (depth 2) on Cockroach Pig k=3.
  • [s2t441cpk3] Active column depth 4 [s2t441cpk4] triggers Rule 1 (New Column) on Hand #11 for Blue (≠).
  • [s2t441cpk5] Next-hand 問路 probe [s2t441cpk6] after 20 hands outputs B=RRB and P=BBR.
INDEPENDENCE & SYMMETRY · S2T441CP

Streak-Break Geometry Across 20 Hands [s2t441cp]

On Paradise City Incheon digital totems scoreboards [s2t441cpc1], Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) [s2t441cpc2] summarizes past Big Road geometry across 20 hands [s2t441cpc3] where Red (=) and Blue (≠) never represent Banker or Player [s2t441cpc4] and card outcomes [s2t441cpc5] stay independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t441cp], Blue (≠) at Column 5 Row 1 on Cockroach Pig indicates whether Banker or Player won Hand #11.
TruthComparing the wrong columns. Compare Column 4, the one that just finished, with Column 1. In [s2t441cp], Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).
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