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TRANSITION GEOMETRY · S2T272SR · K=2

Small Road Multi-Column Transition [s2t272sr]: Pattern 13 Step 2 at Column 4 Row 2 → Red (=)

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=). In multi-column transition [s2t272sr] (p13-chop-recovery, step 2), Small Road (小路 (Siu Lou), k=2) evaluates Hand #10 at Column 4 Row 2 against Column 2 (depth 4) across London Mayfair private gaming rooms.

Ref C2 (D4)
C4R2
Small Road k=2
RED (=)
Hand #10/20
P13·S2
Ask B / Ask P
RRR/BBB
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Transition [s2t272sr] (3-4-1-2-3-3-3-1): Small Road k=2 Mark #2 at C4R2 → This bead is at Row 2. Column 2 has a bead at Row 2 too → 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 #2 [s2t272sr]

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

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 [s2t272sr]
Small Road (k=2) · Col 4 Row 2

Pattern p13-chop-recovery step 2 on Hand #10 of 20 (3-4-1-2-3-3-3-1).

Active vs Reference [s2t272sr]
Active Col 4 (Depth 2) vs Ref Col 2 (Depth 4)

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

Engine describeMark() [s2t272sr]
This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 2. 2. Column 2 has a bead at Row 2 too → red (=).

Learner Guardrail [s2t272sr]
Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Verified against 12 total Small Road marks in [s2t272sr].

Next-Hand Ask-Road [s2t272sr]
Next B → RRR | Next P → BBB

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

TRANSITION PROOF · S2T272SR

Multi-Column Transition [s2t272sr]: Small Road (k=2) at C4R2 vs C2

On scoreboard [s2t272sr], Small Road with lookback offset k=2 evaluates Column 4 Row 2 (depth 2) [s2t272sra] beside Column 2 (depth 4) at London Mayfair private gaming rooms, confirming Red (=) via Rule 2 (Continue Down): This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

At coordinate C4R2 [s2t272srb1], Small Road (k=2) [s2t272srb2] tests Column 2 (depth 4) [s2t272srb3] under Rule 2 (Continue Down) [s2t272srb4] to confirm Red (=) [s2t272srb5] and next-hand probes B=RRR / P=BBB.

Transition Mark Ledger [s2t272sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t272srm1 #1s2t272src C4R1s2t272srr R1 (Ref C1)s2t272srv Blue (≠)
s2t272srm2 #2s2t272src C4R2s2t272srr R2 (Ref C2)s2t272srv Red (=)
s2t272srm3 #3s2t272src C5R1s2t272srr R1 (Ref C2)s2t272srv Blue (≠)
s2t272srm4 #4s2t272src C5R2s2t272srr R2 (Ref C3)s2t272srv Blue (≠)
  • [s2t272srk1] Coordinate C4R2 [s2t272srk2] compares against Ref C2 (depth 4) on Small Road k=2.
  • [s2t272srk3] Active column depth 2 [s2t272srk4] triggers Rule 2 (Continue Down) on Hand #10 for Red (=).
  • [s2t272srk5] Next-hand 問路 probe [s2t272srk6] after 20 hands outputs B=RRR and P=BBB.
INDEPENDENCE & SYMMETRY · S2T272SR

Streak-Break Geometry Across 20 Hands [s2t272sr]

Comparing C4R2 and C2 in [s2t272src1] demonstrates how Small Road (k=2) [s2t272src2] tracks Rule 2 (Continue Down) [s2t272src3]; Red (=) and Blue (≠) never stand for Banker or Player [s2t272src4] across independent 8-deck shoes [s2t272src5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t272sr], Red (=) at Column 4 Row 2 on Small Road indicates whether Banker or Player won Hand #10.
TruthThinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead. In [s2t272sr], This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
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