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TRANSITION GEOMETRY · S2T270SR · K=2

Small Road Multi-Column Transition [s2t270sr]: Pattern 12 Step 10 at Column 5 Row 1 → Blue (≠)

Column 4 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠). In multi-column transition [s2t270sr] (p12-escalating-run, step 10), Small Road (小路 (Siu Lou), k=2) evaluates Hand #12 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 #12/21
P12·S10
Ask B / Ask P
BRB/RBR
Engine-Verified Scoreboard · 21 Hands

Read the Board at Table Speed

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

Transition [s2t270sr] (2-3-4-2-3-1-3-3): Small Road k=2 Mark #6 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 #6 [s2t270sr]

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 [s2t270sr]
Small Road (k=2) · Col 5 Row 1

Pattern p12-escalating-run step 10 on Hand #12 of 21 (2-3-4-2-3-1-3-3).

Active vs Reference [s2t270sr]
Active Col 5 (Depth 3) vs Ref Col 2 (Depth 3)

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

Engine describeMark() [s2t270sr]
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 [s2t270sr]
Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Verified against 15 total Small Road marks in [s2t270sr].

Next-Hand Ask-Road [s2t270sr]
Next B → BRB | Next P → RBR

Probed after Hand #21 across Big Eye Boy, Small Road, and Cockroach Pig.

TRANSITION PROOF · S2T270SR

Multi-Column Transition [s2t270sr]: Small Road (k=2) at C5R1 vs C2

Matrix entry [s2t270sr] verifies Rule 1 (New Column) for Small Road (k=2) at Monte-Carlo Salle Blanche displays where Column 5 Row 1 [s2t270sra] meets Reference Column 2 (height 3) on Hand #12: Column 4 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠).

Step trace [s2t270srb1] confirms Small Road lookback k=2 [s2t270srb2] compares Column 5 Row 1 (depth 3) [s2t270srb3] with Column 2 (depth 3) [s2t270srb4] under Rule 1 (New Column) to yield Blue (≠) [s2t270srb5] while next-hand probes show B=BRB and P=RBR.

Transition Mark Ledger [s2t270sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t270srm1 #1s2t270src C3R2s2t270srr R2 (Ref C1)s2t270srv Red (=)
s2t270srm2 #2s2t270src C3R3s2t270srr R2 (Ref C1)s2t270srv Blue (≠)
s2t270srm3 #3s2t270src C3R4s2t270srr R2 (Ref C1)s2t270srv Red (=)
s2t270srm4 #4s2t270src C4R1s2t270srr R1 (Ref C1)s2t270srv Blue (≠)
  • [s2t270srk1] Coordinate C5R1 [s2t270srk2] compares against Ref C2 (depth 3) on Small Road k=2.
  • [s2t270srk3] Active column depth 3 [s2t270srk4] triggers Rule 1 (New Column) on Hand #12 for Blue (≠).
  • [s2t270srk5] Next-hand 問路 probe [s2t270srk6] after 21 hands outputs B=BRB and P=RBR.
INDEPENDENCE & SYMMETRY · S2T270SR

Streak-Break Geometry Across 21 Hands [s2t270sr]

Within 21-hand shoe [s2t270src1], Small Road (lookback k=2) [s2t270src2] compares Column 5 Row 1 with Column 2 (depth 3) [s2t270src3] while derived symbols never denote Banker or Player [s2t270src4] and future hands [s2t270src5] stay independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t270sr], Blue (≠) at Column 5 Row 1 on Small Road indicates whether Banker or Player won Hand #12.
TruthComparing the wrong columns. Compare Column 4, the one that just finished, with Column 2. In [s2t270sr], Column 4 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠).
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