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TRANSITION GEOMETRY · S2T018BEB · K=1

Big Eye Boy Multi-Column Transition [s2t018beb]: Pattern 2 Step 8 at Column 5 Row 4 → Red (=)

This bead is at Row 4. Column 4 stopped at Row 1, more than one row above → red (=). In multi-column transition [s2t018beb] (p02-triplet-anchor, step 8), Big Eye Boy (大眼仔 (Daai Ngaan Jai), k=1) evaluates Hand #13 at Column 5 Row 4 against Column 4 (depth 1) across Monte-Carlo Salle Blanche displays.

Ref C4 (D1)
C5R4
Big Eye Boy k=1
RED (=)
Hand #13/21
P2·S8
Ask B / Ask P
RRB/BBR
Engine-Verified Scoreboard · 21 Hands

Read the Board at Table Speed

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

Transition [s2t018beb] (3-2-3-1-4-2-2-4): Big Eye Boy k=1 Mark #9 at C5R4 → This bead is at Row 4. Column 4 stopped at Row 1, 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)
Big Eye Boy Mark #9 [s2t018beb]

This bead is at Row 4. Column 4 stopped at Row 1, more than one row above → red (=).

  1. Column 5 goes down to Row 4, so use Rule 2: look 1 column back, at Column 4.
  2. Column 4 stopped at Row 1, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 4 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t018beb]
Big Eye Boy (k=1) · Col 5 Row 4

Pattern p02-triplet-anchor step 8 on Hand #13 of 21 (3-2-3-1-4-2-2-4).

Active vs Reference [s2t018beb]
Active Col 5 (Depth 4) vs Ref Col 4 (Depth 1)

Governed by Rule 2 (Continue Down) with lookback offset k=1.

Engine describeMark() [s2t018beb]
This bead is at Row 4. Column 4 stopped at Row 1, more than one row above → red (=).

1. Column 5 goes down to Row 4, so use Rule 2: look 1 column back, at Column 4. 2. Column 4 stopped at Row 1, more than one row above → red (=).

Learner Guardrail [s2t018beb]
Thinking "no bead at this row" means blue. It is blue only when Column 4 stopped exactly one row above this bead.

Verified against 17 total Big Eye Boy marks in [s2t018beb].

Next-Hand Ask-Road [s2t018beb]
Next B → RRB | Next P → BBR

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

TRANSITION PROOF · S2T018BEB

Multi-Column Transition [s2t018beb]: Big Eye Boy (k=1) at C5R4 vs C4

Matrix entry [s2t018beb] verifies Rule 2 (Continue Down) for Big Eye Boy (k=1) at Monte-Carlo Salle Blanche displays where Column 5 Row 4 [s2t018beba] meets Reference Column 4 (height 1) on Hand #13: This bead is at Row 4. Column 4 stopped at Row 1, more than one row above → red (=).

Step trace [s2t018bebb1] confirms Big Eye Boy lookback k=1 [s2t018bebb2] compares Column 5 Row 4 (depth 4) [s2t018bebb3] with Column 4 (depth 1) [s2t018bebb4] under Rule 2 (Continue Down) to yield Red (=) [s2t018bebb5] while next-hand probes show B=RRB and P=BBR.

Transition Mark Ledger [s2t018beb] (Big Eye Boy, k=1)
MarkCoordRuleVerdict
s2t018bebm1 #1s2t018bebc C2R2s2t018bebr R2 (Ref C1)s2t018bebv Red (=)
s2t018bebm2 #2s2t018bebc C3R1s2t018bebr R1 (Ref C1)s2t018bebv Blue (≠)
s2t018bebm3 #3s2t018bebc C3R2s2t018bebr R2 (Ref C2)s2t018bebv Red (=)
s2t018bebm4 #4s2t018bebc C3R3s2t018bebr R2 (Ref C2)s2t018bebv Blue (≠)
  • [s2t018bebk1] Coordinate C5R4 [s2t018bebk2] compares against Ref C4 (depth 1) on Big Eye Boy k=1.
  • [s2t018bebk3] Active column depth 4 [s2t018bebk4] triggers Rule 2 (Continue Down) on Hand #13 for Red (=).
  • [s2t018bebk5] Next-hand 問路 probe [s2t018bebk6] after 21 hands outputs B=RRB and P=BBR.
INDEPENDENCE & SYMMETRY · S2T018BEB

Streak-Break Geometry Across 21 Hands [s2t018beb]

Within 21-hand shoe [s2t018bebc1], Big Eye Boy (lookback k=1) [s2t018bebc2] compares Column 5 Row 4 with Column 4 (depth 1) [s2t018bebc3] while derived symbols never denote Banker or Player [s2t018bebc4] and future hands [s2t018bebc5] stay independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t018beb], Red (=) at Column 5 Row 4 on Big Eye Boy indicates whether Banker or Player won Hand #13.
TruthThinking "no bead at this row" means blue. It is blue only when Column 4 stopped exactly one row above this bead. In [s2t018beb], This bead is at Row 4. Column 4 stopped at Row 1, more than one row above → red (=).
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