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TRANSITION GEOMETRY · S2T300SR · K=2

Small Road Multi-Column Transition [s2t300sr]: Pattern 15 Step 10 at Column 5 Row 2 → Red (=)

This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=). In multi-column transition [s2t300sr] (p15-stepped-pair, step 10), Small Road (小路 (Siu Lou), k=2) evaluates Hand #12 at Column 5 Row 2 against Column 3 (depth 3) across London Mayfair private gaming rooms.

Ref C3 (D3)
C5R2
Small Road k=2
RED (=)
Hand #12/22
P15·S10
Ask B / Ask P
BRR/RBB
Engine-Verified Scoreboard · 22 Hands

Read the Board at Table Speed

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

Transition [s2t300sr] (2-2-3-3-4-2-3-3): Small Road k=2 Mark #7 at C5R2 → This bead is at Row 2. Column 3 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 #7 [s2t300sr]

This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).

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

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t300sr]
Small Road (k=2) · Col 5 Row 2

Pattern p15-stepped-pair step 10 on Hand #12 of 22 (2-2-3-3-4-2-3-3).

Active vs Reference [s2t300sr]
Active Col 5 (Depth 4) vs Ref Col 3 (Depth 3)

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

Engine describeMark() [s2t300sr]
This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).

1. Column 5 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 3. 2. Column 3 has a bead at Row 2 too → red (=).

Learner Guardrail [s2t300sr]
Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Verified against 17 total Small Road marks in [s2t300sr].

Next-Hand Ask-Road [s2t300sr]
Next B → BRR | Next P → RBB

Probed after Hand #22 across Big Eye Boy, Small Road, and Cockroach Pig.

TRANSITION PROOF · S2T300SR

Multi-Column Transition [s2t300sr]: Small Road (k=2) at C5R2 vs C3

On scoreboard [s2t300sr], Small Road with lookback offset k=2 evaluates Column 5 Row 2 (depth 4) [s2t300sra] beside Column 3 (depth 3) at London Mayfair private gaming rooms, confirming Red (=) via Rule 2 (Continue Down): This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).

At coordinate C5R2 [s2t300srb1], Small Road (k=2) [s2t300srb2] tests Column 3 (depth 3) [s2t300srb3] under Rule 2 (Continue Down) [s2t300srb4] to confirm Red (=) [s2t300srb5] and next-hand probes B=BRR / P=RBB.

Transition Mark Ledger [s2t300sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t300srm1 #1s2t300src C3R2s2t300srr R2 (Ref C1)s2t300srv Red (=)
s2t300srm2 #2s2t300src C3R3s2t300srr R2 (Ref C1)s2t300srv Blue (≠)
s2t300srm3 #3s2t300src C4R1s2t300srr R1 (Ref C1)s2t300srv Blue (≠)
s2t300srm4 #4s2t300src C4R2s2t300srr R2 (Ref C2)s2t300srv Red (=)
  • [s2t300srk1] Coordinate C5R2 [s2t300srk2] compares against Ref C3 (depth 3) on Small Road k=2.
  • [s2t300srk3] Active column depth 4 [s2t300srk4] triggers Rule 2 (Continue Down) on Hand #12 for Red (=).
  • [s2t300srk5] Next-hand 問路 probe [s2t300srk6] after 22 hands outputs B=BRR and P=RBB.
INDEPENDENCE & SYMMETRY · S2T300SR

Streak-Break Geometry Across 22 Hands [s2t300sr]

Comparing C5R2 and C3 in [s2t300src1] demonstrates how Small Road (k=2) [s2t300src2] tracks Rule 2 (Continue Down) [s2t300src3]; Red (=) and Blue (≠) never stand for Banker or Player [s2t300src4] across independent 8-deck shoes [s2t300src5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t300sr], Red (=) at Column 5 Row 2 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 [s2t300sr], This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).
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