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TRANSITION GEOMETRY · S2T253SR · K=2

Small Road Multi-Column Transition [s2t253sr]: Pattern 11 Step 3 at Column 4 Row 1 → Blue (≠)

Column 3 has 2 beads. Column 1 has 4 beads. Different depth → blue (≠). In multi-column transition [s2t253sr] (p11-stair-rebound, step 3), Small Road (小路 (Siu Lou), k=2) evaluates Hand #10 at Column 4 Row 1 against Column 1 (depth 4) across Las Vegas Strip high-limit pits.

Ref C1 (D4)
C4R1
Small Road k=2
BLUE (≠)
Hand #10/19
P11·S3
Ask B / Ask P
BRB/RBR
Engine-Verified Scoreboard · 19 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 P P P
Big Eye Boy = = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ =
Small Road = ≠ ≠ = = ≠ = ≠ ≠ = =
Cockroach Pig ≠ = ≠ = ≠ ≠ = = ≠

Transition [s2t253sr] (4-3-2-1-2-3-1-3): 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 [s2t253sr]

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 [s2t253sr]
Small Road (k=2) · Col 4 Row 1

Pattern p11-stair-rebound step 3 on Hand #10 of 19 (4-3-2-1-2-3-1-3).

Active vs Reference [s2t253sr]
Active Col 4 (Depth 1) vs Ref Col 1 (Depth 4)

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

Engine describeMark() [s2t253sr]
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 [s2t253sr]
Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

Verified against 11 total Small Road marks in [s2t253sr].

Next-Hand Ask-Road [s2t253sr]
Next B → BRB | Next P → RBR

Probed after Hand #19 across Big Eye Boy, Small Road, and Cockroach Pig.

TRANSITION PROOF · S2T253SR

Multi-Column Transition [s2t253sr]: Small Road (k=2) at C4R1 vs C1

Engine verification [s2t253sr] confirms Blue (≠) on Small Road (k=2) at Las Vegas Strip high-limit pits when Hand #10 occupies Column 4 Row 1 [s2t253sra] opposite Column 1 (depth 4): Column 3 has 2 beads. Column 1 has 4 beads. Different depth → blue (≠).

Across 19 hands [s2t253srb1], Small Road (k=2) [s2t253srb2] resolves Hand #10 at Column 4 Row 1 [s2t253srb3] via Column 1 (depth 4) [s2t253srb4] as Blue (≠) [s2t253srb5] with B=BRB and P=RBR.

Transition Mark Ledger [s2t253sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t253srm1 #1s2t253src C3R2s2t253srr R2 (Ref C1)s2t253srv Red (=)
s2t253srm2 #2s2t253src C4R1s2t253srr R1 (Ref C1)s2t253srv Blue (≠)
s2t253srm3 #3s2t253src C5R1s2t253srr R1 (Ref C2)s2t253srv Blue (≠)
s2t253srm4 #4s2t253src C5R2s2t253srr R2 (Ref C3)s2t253srv Red (=)
  • [s2t253srk1] Coordinate C4R1 [s2t253srk2] compares against Ref C1 (depth 4) on Small Road k=2.
  • [s2t253srk3] Active column depth 1 [s2t253srk4] triggers Rule 1 (New Column) on Hand #10 for Blue (≠).
  • [s2t253srk5] Next-hand 問路 probe [s2t253srk6] after 19 hands outputs B=BRB and P=RBR.
INDEPENDENCE & SYMMETRY · S2T253SR

Streak-Break Geometry Across 19 Hands [s2t253sr]

Audit [s2t253src1] verifies that Small Road (k=2) [s2t253src2] at Hand #10 (C4R1) [s2t253src3] encodes Rule 1 and Rule 2 geometry; Red (=) and Blue (≠) never represent Banker or Player [s2t253src4] on independent hands [s2t253src5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t253sr], 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 [s2t253sr], Column 3 has 2 beads. Column 1 has 4 beads. Different depth → blue (≠).
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