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TRANSITION GEOMETRY · S2T271SR · K=2

Small Road Multi-Column Transition [s2t271sr]: Pattern 13 Step 1 at Column 4 Row 1 → Blue (≠)

Column 3 has 1 bead. Column 1 has 3 beads. Different depth → blue (≠). In multi-column transition [s2t271sr] (p13-chop-recovery, step 1), Small Road (小路 (Siu Lou), k=2) evaluates Hand #9 at Column 4 Row 1 against Column 1 (depth 3) across Manila Entertainment City tote boards.

Ref C1 (D3)
C4R1
Small Road k=2
BLUE (≠)
Hand #9/20
P13·S1
Ask B / Ask P
RBB/BRR
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Transition [s2t271sr] (3-4-1-2-3-3-2-2): Small Road k=2 Mark #1 at C4R1 → Column 3 has 1 bead. Column 1 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 #1 [s2t271sr]

Column 3 has 1 bead. Column 1 has 3 beads. Different depth → blue (≠).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t271sr]
Small Road (k=2) · Col 4 Row 1

Pattern p13-chop-recovery step 1 on Hand #9 of 20 (3-4-1-2-3-3-2-2).

Active vs Reference [s2t271sr]
Active Col 4 (Depth 2) vs Ref Col 1 (Depth 3)

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

Engine describeMark() [s2t271sr]
Column 3 has 1 bead. Column 1 has 3 beads. Different depth → blue (≠).

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

Learner Guardrail [s2t271sr]
Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

Verified against 12 total Small Road marks in [s2t271sr].

Next-Hand Ask-Road [s2t271sr]
Next B → RBB | Next P → BRR

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

TRANSITION PROOF · S2T271SR

Multi-Column Transition [s2t271sr]: Small Road (k=2) at C4R1 vs C1

With lookback k=2 in [s2t271sr], Small Road (小路 (Siu Lou)) checks active Column 4 Row 1 [s2t271sra] and Reference Column 1 (3 beads) on Hand #9 at Manila Entertainment City tote boards: Column 3 has 1 bead. Column 1 has 3 beads. Different depth → blue (≠).

Applying Rule 1 (New Column) [s2t271srb1] on Small Road (k=2) [s2t271srb2], Hand #9 at Column 4 Row 1 [s2t271srb3] checks Column 1 (3 beads) [s2t271srb4] to output Blue (≠) [s2t271srb5] alongside Ask-Road B=RBB / P=BRR.

Transition Mark Ledger [s2t271sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t271srm1 #1s2t271src C4R1s2t271srr R1 (Ref C1)s2t271srv Blue (≠)
s2t271srm2 #2s2t271src C4R2s2t271srr R2 (Ref C2)s2t271srv Red (=)
s2t271srm3 #3s2t271src C5R1s2t271srr R1 (Ref C2)s2t271srv Blue (≠)
s2t271srm4 #4s2t271src C5R2s2t271srr R2 (Ref C3)s2t271srv Blue (≠)
  • [s2t271srk1] Coordinate C4R1 [s2t271srk2] compares against Ref C1 (depth 3) on Small Road k=2.
  • [s2t271srk3] Active column depth 2 [s2t271srk4] triggers Rule 1 (New Column) on Hand #9 for Blue (≠).
  • [s2t271srk5] Next-hand 問路 probe [s2t271srk6] after 20 hands outputs B=RBB and P=BRR.
INDEPENDENCE & SYMMETRY · S2T271SR

Streak-Break Geometry Across 20 Hands [s2t271sr]

Evaluating Hand #9 in [s2t271src1] confirms Small Road (k=2) [s2t271src2] is a deterministic function of Columns 1 and 4 [s2t271src3]; Red (=) and Blue (≠) never indicate Banker or Player [s2t271src4] across independent 8-deck deals [s2t271src5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t271sr], Blue (≠) at Column 4 Row 1 on Small Road indicates whether Banker or Player won Hand #9.
TruthComparing the wrong columns. Compare Column 3, the one that just finished, with Column 1. In [s2t271sr], Column 3 has 1 bead. Column 1 has 3 beads. Different depth → blue (≠).
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