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RULE 1 VS RULE 2 BOUNDARY · S2B270SR · K=2

Small Road Rule 1 vs Rule 2 Boundary [s2b270sr]: Reference Depth 4 vs Active Depth 5 → Blue (≠)

Column 5 has 5 beads. Column 3 has 4 beads. Different depth → blue (≠). In boundary comparison [s2b270sr] (r12-quartet-twin, depth slot 10), Small Road (小路 (Siu Lou), k=2) contrasts Rule 1 Boundary (New Column Row 1) at Column 6 Row 1 (Blue (≠)) against its opposite branch (Red (=)) at Borgata Atlantic City salon tables.

C3 vs Active
D4 vs D5
Rule 1 Focus
BLUE (≠)
Rule 2 Branch
RED (=)
Solid Circle
Lookback 2
Engine-Verified Scoreboard · 22 Hands

Read the Board at Table Speed

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

Boundary [s2b270sr] (2-3-4-2-5-2-2-2): Small Road k=2 at C6R1 vs Ref C3 (D4) → Column 5 has 5 beads. Column 3 has 4 beads. Different depth → 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 Boundary Mark #11 [s2b270sr]

Column 5 has 5 beads. Column 3 has 4 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 5 beads. Column 3 has 4 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

Boundary Coordinate [s2b270sr]
Small Road (k=2) · Col 6 Row 1

Shape r12-quartet-twin depth slot 10 on Hand #17 of 22.

Reference vs Active Depth [s2b270sr]
Ref Col 3 = 4 Beads | Active Depth = 5

Rule 1 Boundary (New Column Row 1) resolves Blue (≠) while the alternate branch resolves Red (=).

Verbatim describeMark() [s2b270sr]
Column 5 has 5 beads. Column 3 has 4 beads. Different depth → blue (≠).

1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back. 2. Column 5 has 5 beads. Column 3 has 4 beads. Different depth → blue (≠).

Boundary Pitfall Check [s2b270sr]
Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Tracked across 16 marks on Small Road in [s2b270sr].

Ask-Road Split [s2b270sr]
Next B → RRB | Next P → BBR

Rule 1 and Rule 2 produce opposite derived colors on every next-hand split.

SIDE-BY-SIDE BOUNDARY · S2B270SR

Rule 1 vs Rule 2 Boundary [s2b270sr]: Small Road k=2 at C6R1

On scoreboard [s2b270sr], Small Road with lookback offset k=2 evaluates Column 6 Row 1 (depth 5) [s2b270sra] beside Column 3 (depth 4) at Borgata Atlantic City salon tables, confirming Blue (≠) via Rule 1 Boundary (New Column Row 1): Column 5 has 5 beads. Column 3 has 4 beads. Different depth → blue (≠).

Because Small Road [s2b270srb1] uses lookback offset k=2 [s2b270srb2], Hand #17 at Column 6 Row 1 (depth 5) [s2b270srb3] references Column 3 (4 beads) [s2b270srb4] for Blue (≠) [s2b270srb5] with Ask-Road state B=RRB / P=BBR.

Side-by-Side Rule 1 vs Rule 2 Branch Table [s2b270sr]
BranchCoordinate PairDerived Verdict
s2b270srf1 Active (Rule 1)s2b270src1 C6R1 vs C3 (D4)s2b270srv1 Blue (≠)
s2b270srf2 Alternate (Rule 2)s2b270src2 C5R6 vs C3s2b270srv2 Red (=)
  • [s2b270srq1] Primary branch (Rule 1) [s2b270srq2] at C6R1 vs Ref C3 (D4) marks Blue (≠).
  • [s2b270srq3] Opposite branch (Rule 2) [s2b270srq4] against Ref C3 (D4) inverts to Red (=).
  • [s2b270srq5] Trailing Ask-Road probe [s2b270srq6] after 22 hands reads B=RRB and P=BBR.
GEOMETRIC COMPLEMENT · S2B270SR

Why Rule 1 and Rule 2 Invert at Depth 5 vs 4 [s2b270sr]

Within 22-hand shoe [s2b270src1], Small Road (lookback k=2) [s2b270src2] compares Column 6 Row 1 with Column 3 (depth 4) [s2b270src3] while derived symbols never denote Banker or Player [s2b270src4] and future hands [s2b270src5] stay independent.

Table Reality Check

Myth vs. Truth

MythAt boundary [s2b270sr], Small Road can produce the same color whether the streak continues down under Rule 2 or breaks to a new column under Rule 1.
TruthComparing the wrong columns. Compare Column 5, the one that just finished, with Column 3. In [s2b270sr], Column 5 has 5 beads. Column 3 has 4 beads. Different depth → blue (≠).
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