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TRANSITION GEOMETRY · S2T301CP · K=3

Cockroach Pig Multi-Column Transition [s2t301cp]: Pattern 1 Step 1 at Column 4 Row 2 → Red (=)

This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=). In multi-column transition [s2t301cp] (p01-paired-climb, step 1), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #7 at Column 4 Row 2 against Column 1 (depth 2) across Paradise City Incheon digital totems.

Ref C1 (D2)
C4R2
Cockroach Pig k=3
RED (=)
Hand #7/18
P1·S1
Ask B / Ask P
RBR/BRB
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Transition [s2t301cp] (2-2-1-3-2-4-2-2): Cockroach Pig k=3 Mark #1 at C4R2 → This bead is at Row 2. Column 1 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 #1 [s2t301cp]

This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 1.
  2. Column 1 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 1 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t301cp]
Cockroach Pig (k=3) · Col 4 Row 2

Pattern p01-paired-climb step 1 on Hand #7 of 18 (2-2-1-3-2-4-2-2).

Active vs Reference [s2t301cp]
Active Col 4 (Depth 3) vs Ref Col 1 (Depth 2)

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

Engine describeMark() [s2t301cp]
This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).

1. Column 4 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 1. 2. Column 1 has a bead at Row 2 too → red (=).

Learner Guardrail [s2t301cp]
Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Verified against 12 total Cockroach Pig marks in [s2t301cp].

Next-Hand Ask-Road [s2t301cp]
Next B → RBR | Next P → BRB

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

TRANSITION PROOF · S2T301CP

Multi-Column Transition [s2t301cp]: Cockroach Pig (k=3) at C4R2 vs C1

During Hand #7 of [s2t301cp], the Cockroach Pig grid (lookback k=3) at Paradise City Incheon digital totems maps Big Road Column 4 Row 2 [s2t301cpa] to Reference Column 1 (depth 2) under Rule 2 (Continue Down): This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).

Geometry check [s2t301cpb1] on Cockroach Pig (k=3) [s2t301cpb2] pairs active Column 4 Row 2 [s2t301cpb3] with Reference Column 1 (height 2) [s2t301cpb4] under Rule 2 (Continue Down) (Red (=)) [s2t301cpb5] and next-hand codes B=RBR, P=BRB.

Transition Mark Ledger [s2t301cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t301cpm1 #1s2t301cpc C4R2s2t301cpr R2 (Ref C1)s2t301cpv Red (=)
s2t301cpm2 #2s2t301cpc C4R3s2t301cpr R2 (Ref C1)s2t301cpv Blue (≠)
s2t301cpm3 #3s2t301cpc C5R1s2t301cpr R1 (Ref C1)s2t301cpv Blue (≠)
s2t301cpm4 #4s2t301cpc C5R2s2t301cpr R2 (Ref C2)s2t301cpv Red (=)
  • [s2t301cpk1] Coordinate C4R2 [s2t301cpk2] compares against Ref C1 (depth 2) on Cockroach Pig k=3.
  • [s2t301cpk3] Active column depth 3 [s2t301cpk4] triggers Rule 2 (Continue Down) on Hand #7 for Red (=).
  • [s2t301cpk5] Next-hand 問路 probe [s2t301cpk6] after 18 hands outputs B=RBR and P=BRB.
INDEPENDENCE & SYMMETRY · S2T301CP

Streak-Break Geometry Across 18 Hands [s2t301cp]

On Paradise City Incheon digital totems scoreboards [s2t301cpc1], Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) [s2t301cpc2] summarizes past Big Road geometry across 18 hands [s2t301cpc3] where Red (=) and Blue (≠) never represent Banker or Player [s2t301cpc4] and card outcomes [s2t301cpc5] stay independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t301cp], Red (=) at Column 4 Row 2 on Cockroach Pig indicates whether Banker or Player won Hand #7.
TruthThinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead. In [s2t301cp], This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).
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