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TRANSITION GEOMETRY · S2T153SR · K=2

Small Road Multi-Column Transition [s2t153sr]: Pattern 1 Step 3 at Column 4 Row 3 → Blue (≠)

This bead is at Row 3. Column 2 stopped at Row 2, one row above → blue (≠). In multi-column transition [s2t153sr] (p01-paired-climb, step 3), Small Road (小路 (Siu Lou), k=2) evaluates Hand #8 at Column 4 Row 3 against Column 2 (depth 2) across Solaire Resort Manila display grids.

Ref C2 (D2)
C4R3
Small Road k=2
BLUE (≠)
Hand #8/18
P1·S3
Ask B / Ask P
BBB/RRR
Engine-Verified Scoreboard · 18 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 P P P
Big Eye Boy = = ≠ ≠ = ≠ = ≠ = ≠ = ≠ ≠ ≠ =
Small Road ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = =
Cockroach Pig = ≠ ≠ = = ≠ = = ≠ ≠ = ≠

Transition [s2t153sr] (2-2-1-3-2-4-1-3): Small Road k=2 Mark #3 at C4R3 → This bead is at Row 3. Column 2 stopped at Row 2, 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 #3 [s2t153sr]

This bead is at Row 3. Column 2 stopped at Row 2, one row above → blue (≠).

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

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t153sr]
Small Road (k=2) · Col 4 Row 3

Pattern p01-paired-climb step 3 on Hand #8 of 18 (2-2-1-3-2-4-1-3).

Active vs Reference [s2t153sr]
Active Col 4 (Depth 3) vs Ref Col 2 (Depth 2)

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

Engine describeMark() [s2t153sr]
This bead is at Row 3. Column 2 stopped at Row 2, one row above → blue (≠).

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

Learner Guardrail [s2t153sr]
Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Verified against 13 total Small Road marks in [s2t153sr].

Next-Hand Ask-Road [s2t153sr]
Next B → BBB | Next P → RRR

Probed after Hand #18 across Big Eye Boy, Small Road, and Cockroach Pig.

TRANSITION PROOF · S2T153SR

Multi-Column Transition [s2t153sr]: Small Road (k=2) at C4R3 vs C2

On scoreboard [s2t153sr], Small Road with lookback offset k=2 evaluates Column 4 Row 3 (depth 3) [s2t153sra] beside Column 2 (depth 2) at Solaire Resort Manila display grids, confirming Blue (≠) via Rule 2 (Continue Down): This bead is at Row 3. Column 2 stopped at Row 2, one row above → blue (≠).

At coordinate C4R3 [s2t153srb1], Small Road (k=2) [s2t153srb2] tests Column 2 (depth 2) [s2t153srb3] under Rule 2 (Continue Down) [s2t153srb4] to confirm Blue (≠) [s2t153srb5] and next-hand probes B=BBB / P=RRR.

Transition Mark Ledger [s2t153sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t153srm1 #1s2t153src C4R1s2t153srr R1 (Ref C1)s2t153srv Blue (≠)
s2t153srm2 #2s2t153src C4R2s2t153srr R2 (Ref C2)s2t153srv Red (=)
s2t153srm3 #3s2t153src C4R3s2t153srr R2 (Ref C2)s2t153srv Blue (≠)
s2t153srm4 #4s2t153src C5R1s2t153srr R1 (Ref C2)s2t153srv Blue (≠)
  • [s2t153srk1] Coordinate C4R3 [s2t153srk2] compares against Ref C2 (depth 2) on Small Road k=2.
  • [s2t153srk3] Active column depth 3 [s2t153srk4] triggers Rule 2 (Continue Down) on Hand #8 for Blue (≠).
  • [s2t153srk5] Next-hand 問路 probe [s2t153srk6] after 18 hands outputs B=BBB and P=RRR.
INDEPENDENCE & SYMMETRY · S2T153SR

Streak-Break Geometry Across 18 Hands [s2t153sr]

Comparing C4R3 and C2 in [s2t153src1] demonstrates how Small Road (k=2) [s2t153src2] tracks Rule 2 (Continue Down) [s2t153src3]; Red (=) and Blue (≠) never stand for Banker or Player [s2t153src4] across independent 8-deck shoes [s2t153src5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t153sr], Blue (≠) at Column 4 Row 3 on Small Road indicates whether Banker or Player won Hand #8.
TruthThinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead. In [s2t153sr], This bead is at Row 3. Column 2 stopped at Row 2, one row above → blue (≠).
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