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TRANSITION GEOMETRY · S2T116BEB · K=1

Big Eye Boy Multi-Column Transition [s2t116beb]: Pattern 12 Step 6 at Column 8 Row 1 → Blue (≠)

Column 7 has 4 beads. Column 6 has 1 bead. Different depth → blue (≠). In multi-column transition [s2t116beb] (p12-escalating-run, step 6), Big Eye Boy (大眼仔 (Daai Ngaan Jai), k=1) evaluates Hand #20 at Column 8 Row 1 against Column 6 (depth 1) across Monte-Carlo Salle Blanche displays.

Ref C6 (D1)
C8R1
Big Eye Boy k=1
BLUE (≠)
Hand #20/20
P12·S6
Ask B / Ask P
RBR/BRB
Engine-Verified Scoreboard · 20 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 P B
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ = = ≠
Small Road = ≠ = ≠ = ≠ = = ≠ ≠ = = ≠ ≠
Cockroach Pig = = = = = ≠ = ≠ = ≠

Transition [s2t116beb] (2-3-4-2-3-1-4-1): Big Eye Boy k=1 Mark #17 at C8R1 → Column 7 has 4 beads. Column 6 has 1 bead. 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 #17 [s2t116beb]

Column 7 has 4 beads. Column 6 has 1 bead. Different depth → blue (≠).

  1. Column 8 starts, so use Rule 1: compare Column 7 with Column 6, 1 column further back.
  2. Column 7 has 4 beads. Column 6 has 1 bead. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 7, the one that just finished, with Column 6.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t116beb]
Big Eye Boy (k=1) · Col 8 Row 1

Pattern p12-escalating-run step 6 on Hand #20 of 20 (2-3-4-2-3-1-4-1).

Active vs Reference [s2t116beb]
Active Col 8 (Depth 1) vs Ref Col 6 (Depth 1)

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

Engine describeMark() [s2t116beb]
Column 7 has 4 beads. Column 6 has 1 bead. Different depth → blue (≠).

1. Column 8 starts, so use Rule 1: compare Column 7 with Column 6, 1 column further back. 2. Column 7 has 4 beads. Column 6 has 1 bead. Different depth → blue (≠).

Learner Guardrail [s2t116beb]
Comparing the wrong columns. Compare Column 7, the one that just finished, with Column 6.

Verified against 17 total Big Eye Boy marks in [s2t116beb].

Next-Hand Ask-Road [s2t116beb]
Next B → RBR | Next P → BRB

Probed after Hand #20 across Big Eye Boy, Small Road, and Cockroach Pig.

TRANSITION PROOF · S2T116BEB

Multi-Column Transition [s2t116beb]: Big Eye Boy (k=1) at C8R1 vs C6

Matrix entry [s2t116beb] verifies Rule 1 (New Column) for Big Eye Boy (k=1) at Monte-Carlo Salle Blanche displays where Column 8 Row 1 [s2t116beba] meets Reference Column 6 (height 1) on Hand #20: Column 7 has 4 beads. Column 6 has 1 bead. Different depth → blue (≠).

Step trace [s2t116bebb1] confirms Big Eye Boy lookback k=1 [s2t116bebb2] compares Column 8 Row 1 (depth 1) [s2t116bebb3] with Column 6 (depth 1) [s2t116bebb4] under Rule 1 (New Column) to yield Blue (≠) [s2t116bebb5] while next-hand probes show B=RBR and P=BRB.

Transition Mark Ledger [s2t116beb] (Big Eye Boy, k=1)
MarkCoordRuleVerdict
s2t116bebm1 #1s2t116bebc C2R2s2t116bebr R2 (Ref C1)s2t116bebv Red (=)
s2t116bebm2 #2s2t116bebc C2R3s2t116bebr R2 (Ref C1)s2t116bebv Blue (≠)
s2t116bebm3 #3s2t116bebc C3R1s2t116bebr R1 (Ref C1)s2t116bebv Blue (≠)
s2t116bebm4 #4s2t116bebc C3R2s2t116bebr R2 (Ref C2)s2t116bebv Red (=)
  • [s2t116bebk1] Coordinate C8R1 [s2t116bebk2] compares against Ref C6 (depth 1) on Big Eye Boy k=1.
  • [s2t116bebk3] Active column depth 1 [s2t116bebk4] triggers Rule 1 (New Column) on Hand #20 for Blue (≠).
  • [s2t116bebk5] Next-hand 問路 probe [s2t116bebk6] after 20 hands outputs B=RBR and P=BRB.
INDEPENDENCE & SYMMETRY · S2T116BEB

Streak-Break Geometry Across 20 Hands [s2t116beb]

Within 20-hand shoe [s2t116bebc1], Big Eye Boy (lookback k=1) [s2t116bebc2] compares Column 8 Row 1 with Column 6 (depth 1) [s2t116bebc3] while derived symbols never denote Banker or Player [s2t116bebc4] and future hands [s2t116bebc5] stay independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t116beb], Blue (≠) at Column 8 Row 1 on Big Eye Boy indicates whether Banker or Player won Hand #20.
TruthComparing the wrong columns. Compare Column 7, the one that just finished, with Column 6. In [s2t116beb], Column 7 has 4 beads. Column 6 has 1 bead. Different depth → blue (≠).
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