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TRANSITION GEOMETRY · S2T145BEB · K=1

Big Eye Boy Multi-Column Transition [s2t145beb]: Pattern 15 Step 5 at Column 2 Row 2 → Red (=)

This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=). In multi-column transition [s2t145beb] (p15-stepped-pair, step 5), Big Eye Boy (大眼仔 (Daai Ngaan Jai), k=1) evaluates Hand #4 at Column 2 Row 2 against Column 1 (depth 2) across Manila Entertainment City tote boards.

Ref C1 (D2)
C2R2
Big Eye Boy k=1
RED (=)
Hand #4/21
P15·S5
Ask B / Ask P
BRB/RBR
Engine-Verified Scoreboard · 21 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 B P P
Big Eye Boy = = = ≠ ≠ = = = = = ≠ ≠ = ≠ = ≠ ≠ =
Small Road = ≠ ≠ = ≠ ≠ = = ≠ ≠ = ≠ = = ≠ =
Cockroach Pig = ≠ ≠ = ≠ = ≠ = ≠ = = = =

Transition [s2t145beb] (2-2-3-3-4-2-3-2): Big Eye Boy k=1 Mark #1 at C2R2 → 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)
Big Eye Boy Mark #1 [s2t145beb]

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

  1. Column 2 goes down to Row 2, so use Rule 2: look 1 column 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 [s2t145beb]
Big Eye Boy (k=1) · Col 2 Row 2

Pattern p15-stepped-pair step 5 on Hand #4 of 21 (2-2-3-3-4-2-3-2).

Active vs Reference [s2t145beb]
Active Col 2 (Depth 2) vs Ref Col 1 (Depth 2)

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

Engine describeMark() [s2t145beb]
This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).

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

Learner Guardrail [s2t145beb]
Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Verified against 18 total Big Eye Boy marks in [s2t145beb].

Next-Hand Ask-Road [s2t145beb]
Next B → BRB | Next P → RBR

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

TRANSITION PROOF · S2T145BEB

Multi-Column Transition [s2t145beb]: Big Eye Boy (k=1) at C2R2 vs C1

With lookback k=1 in [s2t145beb], Big Eye Boy (大眼仔 (Daai Ngaan Jai)) checks active Column 2 Row 2 [s2t145beba] and Reference Column 1 (2 beads) on Hand #4 at Manila Entertainment City tote boards: This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).

Applying Rule 2 (Continue Down) [s2t145bebb1] on Big Eye Boy (k=1) [s2t145bebb2], Hand #4 at Column 2 Row 2 [s2t145bebb3] checks Column 1 (2 beads) [s2t145bebb4] to output Red (=) [s2t145bebb5] alongside Ask-Road B=BRB / P=RBR.

Transition Mark Ledger [s2t145beb] (Big Eye Boy, k=1)
MarkCoordRuleVerdict
s2t145bebm1 #1s2t145bebc C2R2s2t145bebr R2 (Ref C1)s2t145bebv Red (=)
s2t145bebm2 #2s2t145bebc C3R1s2t145bebr R1 (Ref C1)s2t145bebv Red (=)
s2t145bebm3 #3s2t145bebc C3R2s2t145bebr R2 (Ref C2)s2t145bebv Red (=)
s2t145bebm4 #4s2t145bebc C3R3s2t145bebr R2 (Ref C2)s2t145bebv Blue (≠)
  • [s2t145bebk1] Coordinate C2R2 [s2t145bebk2] compares against Ref C1 (depth 2) on Big Eye Boy k=1.
  • [s2t145bebk3] Active column depth 2 [s2t145bebk4] triggers Rule 2 (Continue Down) on Hand #4 for Red (=).
  • [s2t145bebk5] Next-hand 問路 probe [s2t145bebk6] after 21 hands outputs B=BRB and P=RBR.
INDEPENDENCE & SYMMETRY · S2T145BEB

Streak-Break Geometry Across 21 Hands [s2t145beb]

Evaluating Hand #4 in [s2t145bebc1] confirms Big Eye Boy (k=1) [s2t145bebc2] is a deterministic function of Columns 1 and 2 [s2t145bebc3]; Red (=) and Blue (≠) never indicate Banker or Player [s2t145bebc4] across independent 8-deck deals [s2t145bebc5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t145beb], Red (=) at Column 2 Row 2 on Big Eye Boy indicates whether Banker or Player won Hand #4.
TruthThinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead. In [s2t145beb], This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).
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