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TRANSITION GEOMETRY · S2T214SR · K=2

Small Road Multi-Column Transition [s2t214sr]: Pattern 7 Step 4 at Column 7 Row 1 → Blue (≠)

Column 6 has 3 beads. Column 4 has 1 bead. Different depth → blue (≠). In multi-column transition [s2t214sr] (p07-flat-drop, step 4), Small Road (小路 (Siu Lou), k=2) evaluates Hand #15 at Column 7 Row 1 against Column 4 (depth 1) across Monte-Carlo Salle Blanche displays.

Ref C4 (D1)
C7R1
Small Road k=2
BLUE (≠)
Hand #15/19
P7·S4
Ask B / Ask P
RBR/BRB
Engine-Verified Scoreboard · 19 Hands

Read the Board at Table Speed

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

Transition [s2t214sr] (2-2-4-1-2-3-2-3): Small Road k=2 Mark #10 at C7R1 → Column 6 has 3 beads. Column 4 has 1 bead. 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 [s2t214sr]

Column 6 has 3 beads. Column 4 has 1 bead. 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 1 bead. 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 [s2t214sr]
Small Road (k=2) · Col 7 Row 1

Pattern p07-flat-drop step 4 on Hand #15 of 19 (2-2-4-1-2-3-2-3).

Active vs Reference [s2t214sr]
Active Col 7 (Depth 2) vs Ref Col 4 (Depth 1)

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

Engine describeMark() [s2t214sr]
Column 6 has 3 beads. Column 4 has 1 bead. 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 1 bead. Different depth → blue (≠).

Learner Guardrail [s2t214sr]
Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 4.

Verified against 14 total Small Road marks in [s2t214sr].

Next-Hand Ask-Road [s2t214sr]
Next B → RBR | Next P → BRB

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

TRANSITION PROOF · S2T214SR

Multi-Column Transition [s2t214sr]: Small Road (k=2) at C7R1 vs C4

Checking Small Road (小路 (Siu Lou), lookback k=2) under [s2t214sr] at Monte-Carlo Salle Blanche displays, active Column 7 Row 1 [s2t214sra] compares with Column 4 (height 1) on Hand #15 to record Blue (≠): Column 6 has 3 beads. Column 4 has 1 bead. Different depth → blue (≠).

Step trace [s2t214srb1] confirms Small Road lookback k=2 [s2t214srb2] compares Column 7 Row 1 (depth 2) [s2t214srb3] with Column 4 (depth 1) [s2t214srb4] under Rule 1 (New Column) to yield Blue (≠) [s2t214srb5] while next-hand probes show B=RBR and P=BRB.

Transition Mark Ledger [s2t214sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t214srm1 #1s2t214src C3R2s2t214srr R2 (Ref C1)s2t214srv Red (=)
s2t214srm2 #2s2t214src C3R3s2t214srr R2 (Ref C1)s2t214srv Blue (≠)
s2t214srm3 #3s2t214src C3R4s2t214srr R2 (Ref C1)s2t214srv Red (=)
s2t214srm4 #4s2t214src C4R1s2t214srr R1 (Ref C1)s2t214srv Blue (≠)
  • [s2t214srk1] Coordinate C7R1 [s2t214srk2] compares against Ref C4 (depth 1) on Small Road k=2.
  • [s2t214srk3] Active column depth 2 [s2t214srk4] triggers Rule 1 (New Column) on Hand #15 for Blue (≠).
  • [s2t214srk5] Next-hand 問路 probe [s2t214srk6] after 19 hands outputs B=RBR and P=BRB.
INDEPENDENCE & SYMMETRY · S2T214SR

Streak-Break Geometry Across 19 Hands [s2t214sr]

At Monte-Carlo Salle Blanche displays [s2t214src1], Small Road (小路 (Siu Lou), k=2) [s2t214src2] plots Blue (≠) for Column 7 Row 1 [s2t214src3]; scoreboard colors on derived grids never represent Banker or Player [s2t214src4] and hands [s2t214src5] are independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t214sr], 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 [s2t214sr], Column 6 has 3 beads. Column 4 has 1 bead. Different depth → blue (≠).
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