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TRANSITION GEOMETRY · S2T237SR · K=2

Small Road Multi-Column Transition [s2t237sr]: Pattern 9 Step 7 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 [s2t237sr] (p09-second-surge, step 7), Small Road (小路 (Siu Lou), k=2) evaluates Hand #9 at Column 4 Row 2 against Column 2 (depth 4) across Solaire Resort Manila display grids.

Ref C2 (D4)
C4R2
Small Road k=2
RED (=)
Hand #9/20
P9·S7
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 P P B P P P B B B P P B P P P P
Big Eye Boy = ≠ = ≠ ≠ ≠ = ≠ = = = = ≠ ≠ ≠ = =
Small Road ≠ = = ≠ ≠ = ≠ = ≠ ≠ = ≠ =
Cockroach Pig = ≠ ≠ = = ≠ ≠ ≠ ≠ = = ≠

Transition [s2t237sr] (2-4-1-3-3-2-1-4): 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 [s2t237sr]

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 [s2t237sr]
Small Road (k=2) · Col 4 Row 2

Pattern p09-second-surge step 7 on Hand #9 of 20 (2-4-1-3-3-2-1-4).

Active vs Reference [s2t237sr]
Active Col 4 (Depth 3) vs Ref Col 2 (Depth 4)

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

Engine describeMark() [s2t237sr]
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 [s2t237sr]
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 [s2t237sr].

Next-Hand Ask-Road [s2t237sr]
Next B → BBB | Next P → RRR

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

TRANSITION PROOF · S2T237SR

Multi-Column Transition [s2t237sr]: Small Road (k=2) at C4R2 vs C2

On scoreboard [s2t237sr], Small Road with lookback offset k=2 evaluates Column 4 Row 2 (depth 3) [s2t237sra] beside Column 2 (depth 4) at Solaire Resort Manila display grids, 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 [s2t237srb1], Small Road (k=2) [s2t237srb2] tests Column 2 (depth 4) [s2t237srb3] under Rule 2 (Continue Down) [s2t237srb4] to confirm Red (=) [s2t237srb5] and next-hand probes B=BBB / P=RRR.

Transition Mark Ledger [s2t237sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t237srm1 #1s2t237src C4R1s2t237srr R1 (Ref C1)s2t237srv Blue (≠)
s2t237srm2 #2s2t237src C4R2s2t237srr R2 (Ref C2)s2t237srv Red (=)
s2t237srm3 #3s2t237src C4R3s2t237srr R2 (Ref C2)s2t237srv Red (=)
s2t237srm4 #4s2t237src C5R1s2t237srr R1 (Ref C2)s2t237srv Blue (≠)
  • [s2t237srk1] Coordinate C4R2 [s2t237srk2] compares against Ref C2 (depth 4) on Small Road k=2.
  • [s2t237srk3] Active column depth 3 [s2t237srk4] triggers Rule 2 (Continue Down) on Hand #9 for Red (=).
  • [s2t237srk5] Next-hand 問路 probe [s2t237srk6] after 20 hands outputs B=BBB and P=RRR.
INDEPENDENCE & SYMMETRY · S2T237SR

Streak-Break Geometry Across 20 Hands [s2t237sr]

Comparing C4R2 and C2 in [s2t237src1] demonstrates how Small Road (k=2) [s2t237src2] tracks Rule 2 (Continue Down) [s2t237src3]; Red (=) and Blue (≠) never stand for Banker or Player [s2t237src4] across independent 8-deck shoes [s2t237src5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t237sr], Red (=) at Column 4 Row 2 on Small Road indicates whether Banker or Player won Hand #9.
TruthThinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead. In [s2t237sr], This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
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