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TRANSITION GEOMETRY · S2T174SR · K=2

Small Road Multi-Column Transition [s2t174sr]: Pattern 3 Step 4 at Column 5 Row 3 → Blue (≠)

This bead is at Row 3. Column 3 stopped at Row 2, one row above → blue (≠). In multi-column transition [s2t174sr] (p03-double-bridge, step 4), Small Road (小路 (Siu Lou), k=2) evaluates Hand #12 at Column 5 Row 3 against Column 3 (depth 2) across London Mayfair private gaming rooms.

Ref C3 (D2)
C5R3
Small Road k=2
BLUE (≠)
Hand #12/19
P3·S4
Ask B / Ask P
RRR/BBB
Engine-Verified Scoreboard · 19 Hands

Read the Board at Table Speed

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

Transition [s2t174sr] (2-3-2-2-4-1-2-3): Small Road k=2 Mark #6 at C5R3 → This bead is at Row 3. Column 3 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 #6 [s2t174sr]

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

  1. Column 5 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 3.
  2. Column 3 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 3 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t174sr]
Small Road (k=2) · Col 5 Row 3

Pattern p03-double-bridge step 4 on Hand #12 of 19 (2-3-2-2-4-1-2-3).

Active vs Reference [s2t174sr]
Active Col 5 (Depth 4) vs Ref Col 3 (Depth 2)

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

Engine describeMark() [s2t174sr]
This bead is at Row 3. Column 3 stopped at Row 2, one row above → blue (≠).

1. Column 5 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 3. 2. Column 3 stopped at Row 2, one row above → blue (≠).

Learner Guardrail [s2t174sr]
Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Verified against 13 total Small Road marks in [s2t174sr].

Next-Hand Ask-Road [s2t174sr]
Next B → RRR | Next P → BBB

Probed after Hand #19 across Big Eye Boy, Small Road, and Cockroach Pig.

TRANSITION PROOF · S2T174SR

Multi-Column Transition [s2t174sr]: Small Road (k=2) at C5R3 vs C3

On scoreboard [s2t174sr], Small Road with lookback offset k=2 evaluates Column 5 Row 3 (depth 4) [s2t174sra] beside Column 3 (depth 2) at London Mayfair private gaming rooms, confirming Blue (≠) via Rule 2 (Continue Down): This bead is at Row 3. Column 3 stopped at Row 2, one row above → blue (≠).

At coordinate C5R3 [s2t174srb1], Small Road (k=2) [s2t174srb2] tests Column 3 (depth 2) [s2t174srb3] under Rule 2 (Continue Down) [s2t174srb4] to confirm Blue (≠) [s2t174srb5] and next-hand probes B=RRR / P=BBB.

Transition Mark Ledger [s2t174sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t174srm1 #1s2t174src C3R2s2t174srr R2 (Ref C1)s2t174srv Red (=)
s2t174srm2 #2s2t174src C4R1s2t174srr R1 (Ref C1)s2t174srv Red (=)
s2t174srm3 #3s2t174src C4R2s2t174srr R2 (Ref C2)s2t174srv Red (=)
s2t174srm4 #4s2t174src C5R1s2t174srr R1 (Ref C2)s2t174srv Blue (≠)
  • [s2t174srk1] Coordinate C5R3 [s2t174srk2] compares against Ref C3 (depth 2) on Small Road k=2.
  • [s2t174srk3] Active column depth 4 [s2t174srk4] triggers Rule 2 (Continue Down) on Hand #12 for Blue (≠).
  • [s2t174srk5] Next-hand 問路 probe [s2t174srk6] after 19 hands outputs B=RRR and P=BBB.
INDEPENDENCE & SYMMETRY · S2T174SR

Streak-Break Geometry Across 19 Hands [s2t174sr]

Comparing C5R3 and C3 in [s2t174src1] demonstrates how Small Road (k=2) [s2t174src2] tracks Rule 2 (Continue Down) [s2t174src3]; Red (=) and Blue (≠) never stand for Banker or Player [s2t174src4] across independent 8-deck shoes [s2t174src5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t174sr], Blue (≠) at Column 5 Row 3 on Small Road indicates whether Banker or Player won Hand #12.
TruthThinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead. In [s2t174sr], This bead is at Row 3. Column 3 stopped at Row 2, one row above → blue (≠).
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