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TRANSITION GEOMETRY · S2T313CP · K=3

Cockroach Pig Multi-Column Transition [s2t313cp]: Pattern 2 Step 3 at Column 5 Row 4 → Red (=)

This bead is at Row 4. Column 2 stopped at Row 2, more than one row above → red (=). In multi-column transition [s2t313cp] (p02-triplet-anchor, step 3), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #13 at Column 5 Row 4 against Column 2 (depth 2) across Manila Entertainment City tote boards.

Ref C2 (D2)
C5R4
Cockroach Pig k=3
RED (=)
Hand #13/19
P2·S3
Ask B / Ask P
BBB/RRR
Engine-Verified Scoreboard · 19 Hands

Read the Board at Table Speed

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

Transition [s2t313cp] (3-2-3-1-4-2-1-3): Cockroach Pig k=3 Mark #4 at C5R4 → This bead is at Row 4. Column 2 stopped at Row 2, 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 #4 [s2t313cp]

This bead is at Row 4. Column 2 stopped at Row 2, more than one row above → red (=).

  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 2, more than one row above → red (=).

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 [s2t313cp]
Cockroach Pig (k=3) · Col 5 Row 4

Pattern p02-triplet-anchor step 3 on Hand #13 of 19 (3-2-3-1-4-2-1-3).

Active vs Reference [s2t313cp]
Active Col 5 (Depth 4) vs Ref Col 2 (Depth 2)

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

Engine describeMark() [s2t313cp]
This bead is at Row 4. Column 2 stopped at Row 2, more than one row above → red (=).

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 2, more than one row above → red (=).

Learner Guardrail [s2t313cp]
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 [s2t313cp].

Next-Hand Ask-Road [s2t313cp]
Next B → BBB | Next P → RRR

Probed after Hand #19 across Big Eye Boy, Small Road, and Cockroach Pig.

TRANSITION PROOF · S2T313CP

Multi-Column Transition [s2t313cp]: Cockroach Pig (k=3) at C5R4 vs C2

Inside geometry record [s2t313cp], Hand #13 of 19 reaches Big Road Column 5 Row 4 [s2t313cpa] while Cockroach Pig (k=3) inspects Reference Column 2 (2 beads) at Manila Entertainment City tote boards: This bead is at Row 4. Column 2 stopped at Row 2, more than one row above → red (=).

Applying Rule 2 (Continue Down) [s2t313cpb1] on Cockroach Pig (k=3) [s2t313cpb2], Hand #13 at Column 5 Row 4 [s2t313cpb3] checks Column 2 (2 beads) [s2t313cpb4] to output Red (=) [s2t313cpb5] alongside Ask-Road B=BBB / P=RRR.

Transition Mark Ledger [s2t313cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t313cpm1 #1s2t313cpc C5R1s2t313cpr R1 (Ref C1)s2t313cpv Blue (≠)
s2t313cpm2 #2s2t313cpc C5R2s2t313cpr R2 (Ref C2)s2t313cpv Red (=)
s2t313cpm3 #3s2t313cpc C5R3s2t313cpr R2 (Ref C2)s2t313cpv Blue (≠)
s2t313cpm4 #4s2t313cpc C5R4s2t313cpr R2 (Ref C2)s2t313cpv Red (=)
  • [s2t313cpk1] Coordinate C5R4 [s2t313cpk2] compares against Ref C2 (depth 2) on Cockroach Pig k=3.
  • [s2t313cpk3] Active column depth 4 [s2t313cpk4] triggers Rule 2 (Continue Down) on Hand #13 for Red (=).
  • [s2t313cpk5] Next-hand 問路 probe [s2t313cpk6] after 19 hands outputs B=BBB and P=RRR.
INDEPENDENCE & SYMMETRY · S2T313CP

Streak-Break Geometry Across 19 Hands [s2t313cp]

In [s2t313cpc1] (3-2-3-1-4-2-1-3), Cockroach Pig (k=3) [s2t313cpc2] updates at Hand #13 from Column 2 (depth 2) [s2t313cpc3]; derived-road colors never mean Banker or Player [s2t313cpc4] and every hand [s2t313cpc5] remains independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t313cp], Red (=) 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 [s2t313cp], This bead is at Row 4. Column 2 stopped at Row 2, more than one row above → red (=).
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