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TRANSITION GEOMETRY · S2T160SR · K=2

Small Road Multi-Column Transition [s2t160sr]: Pattern 1 Step 10 at Column 7 Row 1 → Blue (≠)

Column 6 has 4 beads. Column 4 has 3 beads. Different depth → blue (≠). In multi-column transition [s2t160sr] (p01-paired-climb, step 10), Small Road (小路 (Siu Lou), k=2) evaluates Hand #15 at Column 7 Row 1 against Column 4 (depth 3) across London Mayfair private gaming rooms.

Ref C4 (D3)
C7R1
Small Road k=2
BLUE (≠)
Hand #15/20
P1·S10
Ask B / Ask P
BRR/RBB
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Transition [s2t160sr] (2-2-1-3-2-4-3-3): Small Road k=2 Mark #10 at C7R1 → Column 6 has 4 beads. Column 4 has 3 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 #10 [s2t160sr]

Column 6 has 4 beads. Column 4 has 3 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 4, 2 columns further back.
  2. Column 6 has 4 beads. Column 4 has 3 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 4.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t160sr]
Small Road (k=2) · Col 7 Row 1

Pattern p01-paired-climb step 10 on Hand #15 of 20 (2-2-1-3-2-4-3-3).

Active vs Reference [s2t160sr]
Active Col 7 (Depth 3) vs Ref Col 4 (Depth 3)

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

Engine describeMark() [s2t160sr]
Column 6 has 4 beads. Column 4 has 3 beads. Different depth → blue (≠).

1. Column 7 starts, so use Rule 1: compare Column 6 with Column 4, 2 columns further back. 2. Column 6 has 4 beads. Column 4 has 3 beads. Different depth → blue (≠).

Learner Guardrail [s2t160sr]
Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 4.

Verified against 15 total Small Road marks in [s2t160sr].

Next-Hand Ask-Road [s2t160sr]
Next B → BRR | Next P → RBB

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

TRANSITION PROOF · S2T160SR

Multi-Column Transition [s2t160sr]: Small Road (k=2) at C7R1 vs C4

On scoreboard [s2t160sr], Small Road with lookback offset k=2 evaluates Column 7 Row 1 (depth 3) [s2t160sra] beside Column 4 (depth 3) at London Mayfair private gaming rooms, confirming Blue (≠) via Rule 1 (New Column): Column 6 has 4 beads. Column 4 has 3 beads. Different depth → blue (≠).

At coordinate C7R1 [s2t160srb1], Small Road (k=2) [s2t160srb2] tests Column 4 (depth 3) [s2t160srb3] under Rule 1 (New Column) [s2t160srb4] to confirm Blue (≠) [s2t160srb5] and next-hand probes B=BRR / P=RBB.

Transition Mark Ledger [s2t160sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t160srm1 #1s2t160src C4R1s2t160srr R1 (Ref C1)s2t160srv Blue (≠)
s2t160srm2 #2s2t160src C4R2s2t160srr R2 (Ref C2)s2t160srv Red (=)
s2t160srm3 #3s2t160src C4R3s2t160srr R2 (Ref C2)s2t160srv Blue (≠)
s2t160srm4 #4s2t160src C5R1s2t160srr R1 (Ref C2)s2t160srv Blue (≠)
  • [s2t160srk1] Coordinate C7R1 [s2t160srk2] compares against Ref C4 (depth 3) on Small Road k=2.
  • [s2t160srk3] Active column depth 3 [s2t160srk4] triggers Rule 1 (New Column) on Hand #15 for Blue (≠).
  • [s2t160srk5] Next-hand 問路 probe [s2t160srk6] after 20 hands outputs B=BRR and P=RBB.
INDEPENDENCE & SYMMETRY · S2T160SR

Streak-Break Geometry Across 20 Hands [s2t160sr]

Comparing C7R1 and C4 in [s2t160src1] demonstrates how Small Road (k=2) [s2t160src2] tracks Rule 1 (New Column) [s2t160src3]; Red (=) and Blue (≠) never stand for Banker or Player [s2t160src4] across independent 8-deck shoes [s2t160src5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t160sr], Blue (≠) at Column 7 Row 1 on Small Road indicates whether Banker or Player won Hand #15.
TruthComparing the wrong columns. Compare Column 6, the one that just finished, with Column 4. In [s2t160sr], Column 6 has 4 beads. Column 4 has 3 beads. Different depth → blue (≠).
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