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TRANSITION GEOMETRY · S2T109BEB · K=1

Big Eye Boy Multi-Column Transition [s2t109beb]: Pattern 11 Step 9 at Column 3 Row 1 → Blue (≠)

Column 2 has 3 beads. Column 1 has 4 beads. Different depth → blue (≠). In multi-column transition [s2t109beb] (p11-stair-rebound, step 9), Big Eye Boy (大眼仔 (Daai Ngaan Jai), k=1) evaluates Hand #8 at Column 3 Row 1 against Column 1 (depth 4) across Resorts World Sentosa scoreboards.

Ref C1 (D4)
C3R1
Big Eye Boy k=1
BLUE (≠)
Hand #8/21
P11·S9
Ask B / Ask P
BBR/RRB
Engine-Verified Scoreboard · 21 Hands

Read the Board at Table Speed

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

Transition [s2t109beb] (4-3-2-1-2-3-4-2): Big Eye Boy k=1 Mark #3 at C3R1 → Column 2 has 3 beads. Column 1 has 4 beads. Different depth → blue (≠).

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 #3 [s2t109beb]

Column 2 has 3 beads. Column 1 has 4 beads. Different depth → blue (≠).

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. Column 2 has 3 beads. Column 1 has 4 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t109beb]
Big Eye Boy (k=1) · Col 3 Row 1

Pattern p11-stair-rebound step 9 on Hand #8 of 21 (4-3-2-1-2-3-4-2).

Active vs Reference [s2t109beb]
Active Col 3 (Depth 2) vs Ref Col 1 (Depth 4)

Governed by Rule 1 (New Column) with lookback offset k=1.

Engine describeMark() [s2t109beb]
Column 2 has 3 beads. Column 1 has 4 beads. Different depth → blue (≠).

1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back. 2. Column 2 has 3 beads. Column 1 has 4 beads. Different depth → blue (≠).

Learner Guardrail [s2t109beb]
Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Verified against 16 total Big Eye Boy marks in [s2t109beb].

Next-Hand Ask-Road [s2t109beb]
Next B → BBR | Next P → RRB

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

TRANSITION PROOF · S2T109BEB

Multi-Column Transition [s2t109beb]: Big Eye Boy (k=1) at C3R1 vs C1

Checking Big Eye Boy (大眼仔 (Daai Ngaan Jai), lookback k=1) under [s2t109beb] at Resorts World Sentosa scoreboards, active Column 3 Row 1 [s2t109beba] compares with Column 1 (height 4) on Hand #8 to record Blue (≠): Column 2 has 3 beads. Column 1 has 4 beads. Different depth → blue (≠).

Step trace [s2t109bebb1] confirms Big Eye Boy lookback k=1 [s2t109bebb2] compares Column 3 Row 1 (depth 2) [s2t109bebb3] with Column 1 (depth 4) [s2t109bebb4] under Rule 1 (New Column) to yield Blue (≠) [s2t109bebb5] while next-hand probes show B=BBR and P=RRB.

Transition Mark Ledger [s2t109beb] (Big Eye Boy, k=1)
MarkCoordRuleVerdict
s2t109bebm1 #1s2t109bebc C2R2s2t109bebr R2 (Ref C1)s2t109bebv Red (=)
s2t109bebm2 #2s2t109bebc C2R3s2t109bebr R2 (Ref C1)s2t109bebv Red (=)
s2t109bebm3 #3s2t109bebc C3R1s2t109bebr R1 (Ref C1)s2t109bebv Blue (≠)
s2t109bebm4 #4s2t109bebc C3R2s2t109bebr R2 (Ref C2)s2t109bebv Red (=)
  • [s2t109bebk1] Coordinate C3R1 [s2t109bebk2] compares against Ref C1 (depth 4) on Big Eye Boy k=1.
  • [s2t109bebk3] Active column depth 2 [s2t109bebk4] triggers Rule 1 (New Column) on Hand #8 for Blue (≠).
  • [s2t109bebk5] Next-hand 問路 probe [s2t109bebk6] after 21 hands outputs B=BBR and P=RRB.
INDEPENDENCE & SYMMETRY · S2T109BEB

Streak-Break Geometry Across 21 Hands [s2t109beb]

At Resorts World Sentosa scoreboards [s2t109bebc1], Big Eye Boy (大眼仔 (Daai Ngaan Jai), k=1) [s2t109bebc2] plots Blue (≠) for Column 3 Row 1 [s2t109bebc3]; scoreboard colors on derived grids never represent Banker or Player [s2t109bebc4] and hands [s2t109bebc5] are independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t109beb], Blue (≠) at Column 3 Row 1 on Big Eye Boy indicates whether Banker or Player won Hand #8.
TruthComparing the wrong columns. Compare Column 2, the one that just finished, with Column 1. In [s2t109beb], Column 2 has 3 beads. Column 1 has 4 beads. Different depth → blue (≠).
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