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TRANSITION GEOMETRY · S2T267SR · K=2

Small Road Multi-Column Transition [s2t267sr]: Pattern 12 Step 7 at Column 4 Row 1 → Blue (≠)

Column 3 has 4 beads. Column 1 has 2 beads. Different depth → blue (≠). In multi-column transition [s2t267sr] (p12-escalating-run, step 7), Small Road (小路 (Siu Lou), k=2) evaluates Hand #10 at Column 4 Row 1 against Column 1 (depth 2) across Las Vegas Strip high-limit pits.

Ref C1 (D2)
C4R1
Small Road k=2
BLUE (≠)
Hand #10/20
P12·S7
Ask B / Ask P
BBB/RRR
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Transition [s2t267sr] (2-3-4-2-3-1-1-4): 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 [s2t267sr]

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 [s2t267sr]
Small Road (k=2) · Col 4 Row 1

Pattern p12-escalating-run step 7 on Hand #10 of 20 (2-3-4-2-3-1-1-4).

Active vs Reference [s2t267sr]
Active Col 4 (Depth 2) vs Ref Col 1 (Depth 2)

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

Engine describeMark() [s2t267sr]
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 [s2t267sr]
Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

Verified against 14 total Small Road marks in [s2t267sr].

Next-Hand Ask-Road [s2t267sr]
Next B → BBB | Next P → RRR

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

TRANSITION PROOF · S2T267SR

Multi-Column Transition [s2t267sr]: Small Road (k=2) at C4R1 vs C1

Walkthrough [s2t267sr] documents how Small Road (小路 (Siu Lou), k=2) processes Column 4 Row 1 [s2t267sra] against Reference Column 1 (2 beads) during Hand #10 at Las Vegas Strip high-limit pits: Column 3 has 4 beads. Column 1 has 2 beads. Different depth → blue (≠).

Across 20 hands [s2t267srb1], Small Road (k=2) [s2t267srb2] resolves Hand #10 at Column 4 Row 1 [s2t267srb3] via Column 1 (depth 2) [s2t267srb4] as Blue (≠) [s2t267srb5] with B=BBB and P=RRR.

Transition Mark Ledger [s2t267sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t267srm1 #1s2t267src C3R2s2t267srr R2 (Ref C1)s2t267srv Red (=)
s2t267srm2 #2s2t267src C3R3s2t267srr R2 (Ref C1)s2t267srv Blue (≠)
s2t267srm3 #3s2t267src C3R4s2t267srr R2 (Ref C1)s2t267srv Red (=)
s2t267srm4 #4s2t267src C4R1s2t267srr R1 (Ref C1)s2t267srv Blue (≠)
  • [s2t267srk1] Coordinate C4R1 [s2t267srk2] compares against Ref C1 (depth 2) on Small Road k=2.
  • [s2t267srk3] Active column depth 2 [s2t267srk4] triggers Rule 1 (New Column) on Hand #10 for Blue (≠).
  • [s2t267srk5] Next-hand 問路 probe [s2t267srk6] after 20 hands outputs B=BBB and P=RRR.
INDEPENDENCE & SYMMETRY · S2T267SR

Streak-Break Geometry Across 20 Hands [s2t267sr]

In 2-3-4-2-3-1-1-4 sequence [s2t267src1], Small Road (offset k=2) [s2t267src2] tracks structural depth between Column 4 and Column 1 [s2t267src3]; derived-road colors never stand for Banker or Player [s2t267src4] and each shoe deal [s2t267src5] is independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t267sr], 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 [s2t267sr], Column 3 has 4 beads. Column 1 has 2 beads. Different depth → blue (≠).
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