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TRANSITION GEOMETRY · S2T159SR · K=2

Small Road Multi-Column Transition [s2t159sr]: Pattern 1 Step 9 at Column 6 Row 4 → Blue (≠)

This bead is at Row 4. Column 4 stopped at Row 3, one row above → blue (≠). In multi-column transition [s2t159sr] (p01-paired-climb, step 9), Small Road (小路 (Siu Lou), k=2) evaluates Hand #14 at Column 6 Row 4 against Column 4 (depth 3) across Manila Entertainment City tote boards.

Ref C4 (D3)
C6R4
Small Road k=2
BLUE (≠)
Hand #14/20
P1·S9
Ask B / Ask P
BBR/RRB
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Transition [s2t159sr] (2-2-1-3-2-4-4-2): Small Road k=2 Mark #9 at C6R4 → This bead is at Row 4. Column 4 stopped at Row 3, one row above → 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 #9 [s2t159sr]

This bead is at Row 4. Column 4 stopped at Row 3, one row above → blue (≠).

  1. Column 6 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 4.
  2. Column 4 stopped at Row 3, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 4 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t159sr]
Small Road (k=2) · Col 6 Row 4

Pattern p01-paired-climb step 9 on Hand #14 of 20 (2-2-1-3-2-4-4-2).

Active vs Reference [s2t159sr]
Active Col 6 (Depth 4) vs Ref Col 4 (Depth 3)

Governed by Rule 2 (Continue Down) with lookback offset k=2.

Engine describeMark() [s2t159sr]
This bead is at Row 4. Column 4 stopped at Row 3, one row above → blue (≠).

1. Column 6 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 4. 2. Column 4 stopped at Row 3, one row above → blue (≠).

Learner Guardrail [s2t159sr]
Thinking "no bead at this row" means blue. It is blue only when Column 4 stopped exactly one row above this bead.

Verified against 15 total Small Road marks in [s2t159sr].

Next-Hand Ask-Road [s2t159sr]
Next B → BBR | Next P → RRB

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

TRANSITION PROOF · S2T159SR

Multi-Column Transition [s2t159sr]: Small Road (k=2) at C6R4 vs C4

With lookback k=2 in [s2t159sr], Small Road (小路 (Siu Lou)) checks active Column 6 Row 4 [s2t159sra] and Reference Column 4 (3 beads) on Hand #14 at Manila Entertainment City tote boards: This bead is at Row 4. Column 4 stopped at Row 3, one row above → blue (≠).

Applying Rule 2 (Continue Down) [s2t159srb1] on Small Road (k=2) [s2t159srb2], Hand #14 at Column 6 Row 4 [s2t159srb3] checks Column 4 (3 beads) [s2t159srb4] to output Blue (≠) [s2t159srb5] alongside Ask-Road B=BBR / P=RRB.

Transition Mark Ledger [s2t159sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t159srm1 #1s2t159src C4R1s2t159srr R1 (Ref C1)s2t159srv Blue (≠)
s2t159srm2 #2s2t159src C4R2s2t159srr R2 (Ref C2)s2t159srv Red (=)
s2t159srm3 #3s2t159src C4R3s2t159srr R2 (Ref C2)s2t159srv Blue (≠)
s2t159srm4 #4s2t159src C5R1s2t159srr R1 (Ref C2)s2t159srv Blue (≠)
  • [s2t159srk1] Coordinate C6R4 [s2t159srk2] compares against Ref C4 (depth 3) on Small Road k=2.
  • [s2t159srk3] Active column depth 4 [s2t159srk4] triggers Rule 2 (Continue Down) on Hand #14 for Blue (≠).
  • [s2t159srk5] Next-hand 問路 probe [s2t159srk6] after 20 hands outputs B=BBR and P=RRB.
INDEPENDENCE & SYMMETRY · S2T159SR

Streak-Break Geometry Across 20 Hands [s2t159sr]

Evaluating Hand #14 in [s2t159src1] confirms Small Road (k=2) [s2t159src2] is a deterministic function of Columns 4 and 6 [s2t159src3]; Red (=) and Blue (≠) never indicate Banker or Player [s2t159src4] across independent 8-deck deals [s2t159src5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t159sr], Blue (≠) at Column 6 Row 4 on Small Road indicates whether Banker or Player won Hand #14.
TruthThinking "no bead at this row" means blue. It is blue only when Column 4 stopped exactly one row above this bead. In [s2t159sr], This bead is at Row 4. Column 4 stopped at Row 3, one row above → blue (≠).
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