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TRANSITION GEOMETRY · S2T257SR · K=2

Small Road Multi-Column Transition [s2t257sr]: Pattern 11 Step 7 at Column 6 Row 1 → Red (=)

Column 5 has 2 beads. Column 3 has 2 beads. Same depth → red (=). In multi-column transition [s2t257sr] (p11-stair-rebound, step 7), Small Road (小路 (Siu Lou), k=2) evaluates Hand #13 at Column 6 Row 1 against Column 3 (depth 2) across Manila Entertainment City tote boards.

Ref C3 (D2)
C6R1
Small Road k=2
RED (=)
Hand #13/20
P11·S7
Ask B / Ask P
BBB/RRR
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Transition [s2t257sr] (4-3-2-1-2-3-1-4): Small Road k=2 Mark #5 at C6R1 → Column 5 has 2 beads. Column 3 has 2 beads. Same depth → red (=).

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 #5 [s2t257sr]

Column 5 has 2 beads. Column 3 has 2 beads. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 2 beads. Column 3 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t257sr]
Small Road (k=2) · Col 6 Row 1

Pattern p11-stair-rebound step 7 on Hand #13 of 20 (4-3-2-1-2-3-1-4).

Active vs Reference [s2t257sr]
Active Col 6 (Depth 3) vs Ref Col 3 (Depth 2)

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

Engine describeMark() [s2t257sr]
Column 5 has 2 beads. Column 3 has 2 beads. Same depth → red (=).

1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back. 2. Column 5 has 2 beads. Column 3 has 2 beads. Same depth → red (=).

Learner Guardrail [s2t257sr]
Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Verified against 12 total Small Road marks in [s2t257sr].

Next-Hand Ask-Road [s2t257sr]
Next B → BBB | Next P → RRR

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

TRANSITION PROOF · S2T257SR

Multi-Column Transition [s2t257sr]: Small Road (k=2) at C6R1 vs C3

With lookback k=2 in [s2t257sr], Small Road (小路 (Siu Lou)) checks active Column 6 Row 1 [s2t257sra] and Reference Column 3 (2 beads) on Hand #13 at Manila Entertainment City tote boards: Column 5 has 2 beads. Column 3 has 2 beads. Same depth → red (=).

Applying Rule 1 (New Column) [s2t257srb1] on Small Road (k=2) [s2t257srb2], Hand #13 at Column 6 Row 1 [s2t257srb3] checks Column 3 (2 beads) [s2t257srb4] to output Red (=) [s2t257srb5] alongside Ask-Road B=BBB / P=RRR.

Transition Mark Ledger [s2t257sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t257srm1 #1s2t257src C3R2s2t257srr R2 (Ref C1)s2t257srv Red (=)
s2t257srm2 #2s2t257src C4R1s2t257srr R1 (Ref C1)s2t257srv Blue (≠)
s2t257srm3 #3s2t257src C5R1s2t257srr R1 (Ref C2)s2t257srv Blue (≠)
s2t257srm4 #4s2t257src C5R2s2t257srr R2 (Ref C3)s2t257srv Red (=)
  • [s2t257srk1] Coordinate C6R1 [s2t257srk2] compares against Ref C3 (depth 2) on Small Road k=2.
  • [s2t257srk3] Active column depth 3 [s2t257srk4] triggers Rule 1 (New Column) on Hand #13 for Red (=).
  • [s2t257srk5] Next-hand 問路 probe [s2t257srk6] after 20 hands outputs B=BBB and P=RRR.
INDEPENDENCE & SYMMETRY · S2T257SR

Streak-Break Geometry Across 20 Hands [s2t257sr]

Evaluating Hand #13 in [s2t257src1] confirms Small Road (k=2) [s2t257src2] is a deterministic function of Columns 3 and 6 [s2t257src3]; Red (=) and Blue (≠) never indicate Banker or Player [s2t257src4] across independent 8-deck deals [s2t257src5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t257sr], Red (=) at Column 6 Row 1 on Small Road indicates whether Banker or Player won Hand #13.
TruthComparing the wrong columns. Compare Column 5, the one that just finished, with Column 3. In [s2t257sr], Column 5 has 2 beads. Column 3 has 2 beads. Same depth → red (=).
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