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TRANSITION GEOMETRY · S2T186SR · K=2

Small Road Multi-Column Transition [s2t186sr]: Pattern 4 Step 6 at Column 7 Row 1 → Blue (≠)

Column 6 has 3 beads. Column 4 has 2 beads. Different depth → blue (≠). In multi-column transition [s2t186sr] (p04-quartet-twin, step 6), Small Road (小路 (Siu Lou), k=2) evaluates Hand #16 at Column 7 Row 1 against Column 4 (depth 2) across Monte-Carlo Salle Blanche displays.

Ref C4 (D2)
C7R1
Small Road k=2
BLUE (≠)
Hand #16/20
P4·S6
Ask B / Ask P
RRR/BBB
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Transition [s2t186sr] (4-2-1-2-3-3-4-1): Small Road k=2 Mark #9 at C7R1 → Column 6 has 3 beads. Column 4 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 #9 [s2t186sr]

Column 6 has 3 beads. Column 4 has 2 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 3 beads. Column 4 has 2 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 [s2t186sr]
Small Road (k=2) · Col 7 Row 1

Pattern p04-quartet-twin step 6 on Hand #16 of 20 (4-2-1-2-3-3-4-1).

Active vs Reference [s2t186sr]
Active Col 7 (Depth 4) vs Ref Col 4 (Depth 2)

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

Engine describeMark() [s2t186sr]
Column 6 has 3 beads. Column 4 has 2 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 3 beads. Column 4 has 2 beads. Different depth → blue (≠).

Learner Guardrail [s2t186sr]
Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 4.

Verified against 13 total Small Road marks in [s2t186sr].

Next-Hand Ask-Road [s2t186sr]
Next B → RRR | Next P → BBB

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

TRANSITION PROOF · S2T186SR

Multi-Column Transition [s2t186sr]: Small Road (k=2) at C7R1 vs C4

Matrix entry [s2t186sr] verifies Rule 1 (New Column) for Small Road (k=2) at Monte-Carlo Salle Blanche displays where Column 7 Row 1 [s2t186sra] meets Reference Column 4 (height 2) on Hand #16: Column 6 has 3 beads. Column 4 has 2 beads. Different depth → blue (≠).

Step trace [s2t186srb1] confirms Small Road lookback k=2 [s2t186srb2] compares Column 7 Row 1 (depth 4) [s2t186srb3] with Column 4 (depth 2) [s2t186srb4] under Rule 1 (New Column) to yield Blue (≠) [s2t186srb5] while next-hand probes show B=RRR and P=BBB.

Transition Mark Ledger [s2t186sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t186srm1 #1s2t186src C4R1s2t186srr R1 (Ref C1)s2t186srv Blue (≠)
s2t186srm2 #2s2t186src C4R2s2t186srr R2 (Ref C2)s2t186srv Red (=)
s2t186srm3 #3s2t186src C5R1s2t186srr R1 (Ref C2)s2t186srv Red (=)
s2t186srm4 #4s2t186src C5R2s2t186srr R2 (Ref C3)s2t186srv Blue (≠)
  • [s2t186srk1] Coordinate C7R1 [s2t186srk2] compares against Ref C4 (depth 2) on Small Road k=2.
  • [s2t186srk3] Active column depth 4 [s2t186srk4] triggers Rule 1 (New Column) on Hand #16 for Blue (≠).
  • [s2t186srk5] Next-hand 問路 probe [s2t186srk6] after 20 hands outputs B=RRR and P=BBB.
INDEPENDENCE & SYMMETRY · S2T186SR

Streak-Break Geometry Across 20 Hands [s2t186sr]

Within 20-hand shoe [s2t186src1], Small Road (lookback k=2) [s2t186src2] compares Column 7 Row 1 with Column 4 (depth 2) [s2t186src3] while derived symbols never denote Banker or Player [s2t186src4] and future hands [s2t186src5] stay independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t186sr], Blue (≠) at Column 7 Row 1 on Small Road indicates whether Banker or Player won Hand #16.
TruthComparing the wrong columns. Compare Column 6, the one that just finished, with Column 4. In [s2t186sr], Column 6 has 3 beads. Column 4 has 2 beads. Different depth → blue (≠).
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