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TRANSITION GEOMETRY · S2T268SR · K=2

Small Road Multi-Column Transition [s2t268sr]: Pattern 12 Step 8 at Column 4 Row 1 → Blue (≠)

Column 3 has 4 beads. Column 1 has 2 beads. Different depth → blue (≠). In multi-column transition [s2t268sr] (p12-escalating-run, step 8), Small Road (小路 (Siu Lou), k=2) evaluates Hand #10 at Column 4 Row 1 against Column 1 (depth 2) across Marina Bay Sands electronic scoreboards.

Ref C1 (D2)
C4R1
Small Road k=2
BLUE (≠)
Hand #10/21
P12·S8
Ask B / Ask P
RRR/BBB
Engine-Verified Scoreboard · 21 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 B B B B
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ =
Small Road = ≠ = ≠ = ≠ = = ≠ ≠ = ≠ ≠ = =
Cockroach Pig = = = = = ≠ = = = = ≠

Transition [s2t268sr] (2-3-4-2-3-1-2-4): Small Road k=2 Mark #4 at C4R1 → Column 3 has 4 beads. Column 1 has 2 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 #4 [s2t268sr]

Column 3 has 4 beads. Column 1 has 2 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 4 beads. Column 1 has 2 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 [s2t268sr]
Small Road (k=2) · Col 4 Row 1

Pattern p12-escalating-run step 8 on Hand #10 of 21 (2-3-4-2-3-1-2-4).

Active vs Reference [s2t268sr]
Active Col 4 (Depth 2) vs Ref Col 1 (Depth 2)

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

Engine describeMark() [s2t268sr]
Column 3 has 4 beads. Column 1 has 2 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 4 beads. Column 1 has 2 beads. Different depth → blue (≠).

Learner Guardrail [s2t268sr]
Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

Verified against 15 total Small Road marks in [s2t268sr].

Next-Hand Ask-Road [s2t268sr]
Next B → RRR | Next P → BBB

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

TRANSITION PROOF · S2T268SR

Multi-Column Transition [s2t268sr]: Small Road (k=2) at C4R1 vs C1

Scoreboard ledger [s2t268sr] isolates Hand #10 at Column 4 Row 1 [s2t268sra] so Small Road (小路 (Siu Lou), k=2) can compare Column 1 (depth 2) at Marina Bay Sands electronic scoreboards: Column 3 has 4 beads. Column 1 has 2 beads. Different depth → blue (≠).

Comparing Column 4 Row 1 [s2t268srb1] with lookback k=2 Column 1 (depth 2) [s2t268srb2] on Small Road [s2t268srb3] produces Blue (≠) via Rule 1 (New Column) [s2t268srb4], and the 問路 table [s2t268srb5] lists Next Banker RRR versus Next Player BBB.

Transition Mark Ledger [s2t268sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t268srm1 #1s2t268src C3R2s2t268srr R2 (Ref C1)s2t268srv Red (=)
s2t268srm2 #2s2t268src C3R3s2t268srr R2 (Ref C1)s2t268srv Blue (≠)
s2t268srm3 #3s2t268src C3R4s2t268srr R2 (Ref C1)s2t268srv Red (=)
s2t268srm4 #4s2t268src C4R1s2t268srr R1 (Ref C1)s2t268srv Blue (≠)
  • [s2t268srk1] Coordinate C4R1 [s2t268srk2] compares against Ref C1 (depth 2) on Small Road k=2.
  • [s2t268srk3] Active column depth 2 [s2t268srk4] triggers Rule 1 (New Column) on Hand #10 for Blue (≠).
  • [s2t268srk5] Next-hand 問路 probe [s2t268srk6] after 21 hands outputs B=RRR and P=BBB.
INDEPENDENCE & SYMMETRY · S2T268SR

Streak-Break Geometry Across 21 Hands [s2t268sr]

Throughout 2-3-4-2-3-1-2-4 [s2t268src1], Small Road (小路 (Siu Lou), k=2) [s2t268src2] reflects completed column heights from Column 1 to Column 4 [s2t268src3]; derived colors never mean Banker or Player [s2t268src4] and shoe probabilities [s2t268src5] do not shift.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t268sr], 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 [s2t268sr], Column 3 has 4 beads. Column 1 has 2 beads. Different depth → blue (≠).
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