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TRANSITION GEOMETRY · S2T293SR · K=2

Small Road Multi-Column Transition [s2t293sr]: Pattern 15 Step 3 at Column 3 Row 3 → Blue (≠)

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠). In multi-column transition [s2t293sr] (p15-stepped-pair, step 3), Small Road (小路 (Siu Lou), k=2) evaluates Hand #7 at Column 3 Row 3 against Column 1 (depth 2) across Solaire Resort Manila display grids.

Ref C1 (D2)
C3R3
Small Road k=2
BLUE (≠)
Hand #7/20
P15·S3
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 P P B B B P P P B B B B P P B P P P
Big Eye Boy = = = ≠ ≠ = = = = = ≠ ≠ = ≠ ≠ ≠ =
Small Road = ≠ ≠ = ≠ ≠ = = ≠ ≠ = ≠ ≠ = ≠
Cockroach Pig = ≠ ≠ = ≠ = ≠ = ≠ ≠ = =

Transition [s2t293sr] (2-2-3-3-4-2-1-3): Small Road k=2 Mark #2 at C3R3 → This bead is at Row 3. Column 1 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 #2 [s2t293sr]

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 3 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 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 1 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t293sr]
Small Road (k=2) · Col 3 Row 3

Pattern p15-stepped-pair step 3 on Hand #7 of 20 (2-2-3-3-4-2-1-3).

Active vs Reference [s2t293sr]
Active Col 3 (Depth 3) vs Ref Col 1 (Depth 2)

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

Engine describeMark() [s2t293sr]
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

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

Learner Guardrail [s2t293sr]
Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Verified against 15 total Small Road marks in [s2t293sr].

Next-Hand Ask-Road [s2t293sr]
Next B → BBB | Next P → RRR

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

TRANSITION PROOF · S2T293SR

Multi-Column Transition [s2t293sr]: Small Road (k=2) at C3R3 vs C1

On scoreboard [s2t293sr], Small Road with lookback offset k=2 evaluates Column 3 Row 3 (depth 3) [s2t293sra] beside Column 1 (depth 2) at Solaire Resort Manila display grids, confirming Blue (≠) via Rule 2 (Continue Down): This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

At coordinate C3R3 [s2t293srb1], Small Road (k=2) [s2t293srb2] tests Column 1 (depth 2) [s2t293srb3] under Rule 2 (Continue Down) [s2t293srb4] to confirm Blue (≠) [s2t293srb5] and next-hand probes B=BBB / P=RRR.

Transition Mark Ledger [s2t293sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t293srm1 #1s2t293src C3R2s2t293srr R2 (Ref C1)s2t293srv Red (=)
s2t293srm2 #2s2t293src C3R3s2t293srr R2 (Ref C1)s2t293srv Blue (≠)
s2t293srm3 #3s2t293src C4R1s2t293srr R1 (Ref C1)s2t293srv Blue (≠)
s2t293srm4 #4s2t293src C4R2s2t293srr R2 (Ref C2)s2t293srv Red (=)
  • [s2t293srk1] Coordinate C3R3 [s2t293srk2] compares against Ref C1 (depth 2) on Small Road k=2.
  • [s2t293srk3] Active column depth 3 [s2t293srk4] triggers Rule 2 (Continue Down) on Hand #7 for Blue (≠).
  • [s2t293srk5] Next-hand 問路 probe [s2t293srk6] after 20 hands outputs B=BBB and P=RRR.
INDEPENDENCE & SYMMETRY · S2T293SR

Streak-Break Geometry Across 20 Hands [s2t293sr]

Comparing C3R3 and C1 in [s2t293src1] demonstrates how Small Road (k=2) [s2t293src2] tracks Rule 2 (Continue Down) [s2t293src3]; Red (=) and Blue (≠) never stand for Banker or Player [s2t293src4] across independent 8-deck shoes [s2t293src5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t293sr], Blue (≠) at Column 3 Row 3 on Small Road indicates whether Banker or Player won Hand #7.
TruthThinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead. In [s2t293sr], This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
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