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TRANSITION GEOMETRY · S2T420CP · K=3

Cockroach Pig Multi-Column Transition [s2t420cp]: Pattern 12 Step 10 at Column 8 Row 2 → Red (=)

This bead is at Row 2. Column 5 has a bead at Row 2 too → red (=). In multi-column transition [s2t420cp] (p12-escalating-run, step 10), Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) evaluates Hand #20 at Column 8 Row 2 against Column 5 (depth 3) across Macau Cotai VIP salons.

Ref C5 (D3)
C8R2
Cockroach Pig k=3
RED (=)
Hand #20/21
P12·S10
Ask B / Ask P
BRB/RBR
Engine-Verified Scoreboard · 21 Hands

Read the Board at Table Speed

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

Transition [s2t420cp] (2-3-4-2-3-1-3-3): Cockroach Pig k=3 Mark #10 at C8R2 → This bead is at Row 2. Column 5 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 #10 [s2t420cp]

This bead is at Row 2. Column 5 has a bead at Row 2 too → red (=).

  1. Column 8 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 5.
  2. Column 5 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 5 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t420cp]
Cockroach Pig (k=3) · Col 8 Row 2

Pattern p12-escalating-run step 10 on Hand #20 of 21 (2-3-4-2-3-1-3-3).

Active vs Reference [s2t420cp]
Active Col 8 (Depth 3) vs Ref Col 5 (Depth 3)

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

Engine describeMark() [s2t420cp]
This bead is at Row 2. Column 5 has a bead at Row 2 too → red (=).

1. Column 8 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 5. 2. Column 5 has a bead at Row 2 too → red (=).

Learner Guardrail [s2t420cp]
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 [s2t420cp].

Next-Hand Ask-Road [s2t420cp]
Next B → BRB | Next P → RBR

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

TRANSITION PROOF · S2T420CP

Multi-Column Transition [s2t420cp]: Cockroach Pig (k=3) at C8R2 vs C5

Coordinate proof [s2t420cp] traces Cockroach Pig (曱甴路 (Gaat Jaat Lou), k=3) at Macau Cotai VIP salons when Hand #20 lands on Column 8 Row 2 [s2t420cpa] against Reference Column 5 (depth 3): This bead is at Row 2. Column 5 has a bead at Row 2 too → red (=).

Geometry check [s2t420cpb1] on Cockroach Pig (k=3) [s2t420cpb2] pairs active Column 8 Row 2 [s2t420cpb3] with Reference Column 5 (height 3) [s2t420cpb4] under Rule 2 (Continue Down) (Red (=)) [s2t420cpb5] and next-hand codes B=BRB, P=RBR.

Transition Mark Ledger [s2t420cp] (Cockroach Pig, k=3)
MarkCoordRuleVerdict
s2t420cpm1 #1s2t420cpc C4R2s2t420cpr R2 (Ref C1)s2t420cpv Red (=)
s2t420cpm2 #2s2t420cpc C5R1s2t420cpr R1 (Ref C1)s2t420cpv Red (=)
s2t420cpm3 #3s2t420cpc C5R2s2t420cpr R2 (Ref C2)s2t420cpv Red (=)
s2t420cpm4 #4s2t420cpc C5R3s2t420cpr R2 (Ref C2)s2t420cpv Red (=)
  • [s2t420cpk1] Coordinate C8R2 [s2t420cpk2] compares against Ref C5 (depth 3) on Cockroach Pig k=3.
  • [s2t420cpk3] Active column depth 3 [s2t420cpk4] triggers Rule 2 (Continue Down) on Hand #20 for Red (=).
  • [s2t420cpk5] Next-hand 問路 probe [s2t420cpk6] after 21 hands outputs B=BRB and P=RBR.
INDEPENDENCE & SYMMETRY · S2T420CP

Streak-Break Geometry Across 21 Hands [s2t420cp]

For 21 hands in [s2t420cpc1], Cockroach Pig (offset k=3) [s2t420cpc2] contrasts Column 8 with Column 5 [s2t420cpc3] at Macau Cotai VIP salons; derived marks never indicate Banker or Player [s2t420cpc4] and each deal [s2t420cpc5] is mathematically independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t420cp], Red (=) at Column 8 Row 2 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 [s2t420cp], This bead is at Row 2. Column 5 has a bead at Row 2 too → red (=).
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