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TRANSITION GEOMETRY · S2T254SR · K=2

Small Road Multi-Column Transition [s2t254sr]: Pattern 11 Step 4 at Column 4 Row 1 → Blue (≠)

Column 3 has 2 beads. Column 1 has 4 beads. Different depth → blue (≠). In multi-column transition [s2t254sr] (p11-stair-rebound, step 4), Small Road (小路 (Siu Lou), k=2) evaluates Hand #10 at Column 4 Row 1 against Column 1 (depth 4) across Marina Bay Sands electronic scoreboards.

Ref C1 (D4)
C4R1
Small Road k=2
BLUE (≠)
Hand #10/20
P11·S4
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 P P B B B P P B P P B B B P P B B B
Big Eye Boy = = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ = ≠ = ≠
Small Road = ≠ ≠ = = ≠ = ≠ = = = =
Cockroach Pig ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠

Transition [s2t254sr] (4-3-2-1-2-3-2-3): Small Road k=2 Mark #2 at C4R1 → Column 3 has 2 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)
Small Road Mark #2 [s2t254sr]

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t254sr]
Small Road (k=2) · Col 4 Row 1

Pattern p11-stair-rebound step 4 on Hand #10 of 20 (4-3-2-1-2-3-2-3).

Active vs Reference [s2t254sr]
Active Col 4 (Depth 1) vs Ref Col 1 (Depth 4)

Governed by Rule 1 (New Column) with lookback offset k=2.

Engine describeMark() [s2t254sr]
Column 3 has 2 beads. Column 1 has 4 beads. Different depth → blue (≠).

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

Learner Guardrail [s2t254sr]
Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

Verified against 12 total Small Road marks in [s2t254sr].

Next-Hand Ask-Road [s2t254sr]
Next B → RBR | Next P → BRB

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

TRANSITION PROOF · S2T254SR

Multi-Column Transition [s2t254sr]: Small Road (k=2) at C4R1 vs C1

At Hand #10 in sequence [s2t254sr] (4-3-2-1-2-3-2-3), Small Road (k=2) resolves Column 4 Row 1 [s2t254sra] relative to Column 1 (depth 4) on Marina Bay Sands electronic scoreboards displays: Column 3 has 2 beads. Column 1 has 4 beads. Different depth → blue (≠).

Comparing Column 4 Row 1 [s2t254srb1] with lookback k=2 Column 1 (depth 4) [s2t254srb2] on Small Road [s2t254srb3] produces Blue (≠) via Rule 1 (New Column) [s2t254srb4], and the 問路 table [s2t254srb5] lists Next Banker RBR versus Next Player BRB.

Transition Mark Ledger [s2t254sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t254srm1 #1s2t254src C3R2s2t254srr R2 (Ref C1)s2t254srv Red (=)
s2t254srm2 #2s2t254src C4R1s2t254srr R1 (Ref C1)s2t254srv Blue (≠)
s2t254srm3 #3s2t254src C5R1s2t254srr R1 (Ref C2)s2t254srv Blue (≠)
s2t254srm4 #4s2t254src C5R2s2t254srr R2 (Ref C3)s2t254srv Red (=)
  • [s2t254srk1] Coordinate C4R1 [s2t254srk2] compares against Ref C1 (depth 4) on Small Road k=2.
  • [s2t254srk3] Active column depth 1 [s2t254srk4] triggers Rule 1 (New Column) on Hand #10 for Blue (≠).
  • [s2t254srk5] Next-hand 問路 probe [s2t254srk6] after 20 hands outputs B=RBR and P=BRB.
INDEPENDENCE & SYMMETRY · S2T254SR

Streak-Break Geometry Across 20 Hands [s2t254sr]

Across 20-hand board [s2t254src1] (4-3-2-1-2-3-2-3) [s2t254src2], Red (=) and Blue (≠) on Small Road (k=2) [s2t254src3] record column symmetry rather than Banker or Player [s2t254src4], and every 8-deck hand at Marina Bay Sands electronic scoreboards [s2t254src5] remains statistically independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t254sr], Blue (≠) at Column 4 Row 1 on Small Road indicates whether Banker or Player won Hand #10.
TruthComparing the wrong columns. Compare Column 3, the one that just finished, with Column 1. In [s2t254sr], Column 3 has 2 beads. Column 1 has 4 beads. Different depth → blue (≠).
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