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TRANSITION GEOMETRY · S2T172SR · K=2

Small Road Multi-Column Transition [s2t172sr]: Pattern 3 Step 2 at Column 5 Row 1 → Blue (≠)

Column 4 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠). In multi-column transition [s2t172sr] (p03-double-bridge, step 2), Small Road (小路 (Siu Lou), k=2) evaluates Hand #10 at Column 5 Row 1 against Column 2 (depth 3) across Monte-Carlo Salle Blanche displays.

Ref C2 (D3)
C5R1
Small Road k=2
BLUE (≠)
Hand #10/18
P3·S2
Ask B / Ask P
RBR/BRB
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Transition [s2t172sr] (2-3-2-2-4-1-3-1): Small Road k=2 Mark #4 at C5R1 → Column 4 has 2 beads. Column 2 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 #4 [s2t172sr]

Column 4 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t172sr]
Small Road (k=2) · Col 5 Row 1

Pattern p03-double-bridge step 2 on Hand #10 of 18 (2-3-2-2-4-1-3-1).

Active vs Reference [s2t172sr]
Active Col 5 (Depth 4) vs Ref Col 2 (Depth 3)

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

Engine describeMark() [s2t172sr]
Column 4 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠).

1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back. 2. Column 4 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠).

Learner Guardrail [s2t172sr]
Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Verified against 12 total Small Road marks in [s2t172sr].

Next-Hand Ask-Road [s2t172sr]
Next B → RBR | Next P → BRB

Probed after Hand #18 across Big Eye Boy, Small Road, and Cockroach Pig.

TRANSITION PROOF · S2T172SR

Multi-Column Transition [s2t172sr]: Small Road (k=2) at C5R1 vs C2

Checking Small Road (小路 (Siu Lou), lookback k=2) under [s2t172sr] at Monte-Carlo Salle Blanche displays, active Column 5 Row 1 [s2t172sra] compares with Column 2 (height 3) on Hand #10 to record Blue (≠): Column 4 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠).

Step trace [s2t172srb1] confirms Small Road lookback k=2 [s2t172srb2] compares Column 5 Row 1 (depth 4) [s2t172srb3] with Column 2 (depth 3) [s2t172srb4] under Rule 1 (New Column) to yield Blue (≠) [s2t172srb5] while next-hand probes show B=RBR and P=BRB.

Transition Mark Ledger [s2t172sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t172srm1 #1s2t172src C3R2s2t172srr R2 (Ref C1)s2t172srv Red (=)
s2t172srm2 #2s2t172src C4R1s2t172srr R1 (Ref C1)s2t172srv Red (=)
s2t172srm3 #3s2t172src C4R2s2t172srr R2 (Ref C2)s2t172srv Red (=)
s2t172srm4 #4s2t172src C5R1s2t172srr R1 (Ref C2)s2t172srv Blue (≠)
  • [s2t172srk1] Coordinate C5R1 [s2t172srk2] compares against Ref C2 (depth 3) on Small Road k=2.
  • [s2t172srk3] Active column depth 4 [s2t172srk4] triggers Rule 1 (New Column) on Hand #10 for Blue (≠).
  • [s2t172srk5] Next-hand 問路 probe [s2t172srk6] after 18 hands outputs B=RBR and P=BRB.
INDEPENDENCE & SYMMETRY · S2T172SR

Streak-Break Geometry Across 18 Hands [s2t172sr]

At Monte-Carlo Salle Blanche displays [s2t172src1], Small Road (小路 (Siu Lou), k=2) [s2t172src2] plots Blue (≠) for Column 5 Row 1 [s2t172src3]; scoreboard colors on derived grids never represent Banker or Player [s2t172src4] and hands [s2t172src5] are independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t172sr], Blue (≠) at Column 5 Row 1 on Small Road indicates whether Banker or Player won Hand #10.
TruthComparing the wrong columns. Compare Column 4, the one that just finished, with Column 2. In [s2t172sr], Column 4 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠).
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