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TRANSITION GEOMETRY · S2T180SR · K=2

Small Road Multi-Column Transition [s2t180sr]: Pattern 3 Step 10 at Column 8 Row 1 → Blue (≠)

Column 7 has 3 beads. Column 5 has 4 beads. Different depth → blue (≠). In multi-column transition [s2t180sr] (p03-double-bridge, step 10), Small Road (小路 (Siu Lou), k=2) evaluates Hand #18 at Column 8 Row 1 against Column 5 (depth 4) across Bellagio Las Vegas baccarat lounges.

Ref C5 (D4)
C8R1
Small Road k=2
BLUE (≠)
Hand #18/20
P3·S10
Ask B / Ask P
BRR/RBB
Engine-Verified Scoreboard · 20 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 P B B B
Big Eye Boy = ≠ ≠ = ≠ = = = ≠ = ≠ ≠ ≠ = ≠ = =
Small Road = = = ≠ = ≠ = ≠ ≠ = = ≠ ≠ =
Cockroach Pig = = = = ≠ ≠ ≠ = ≠ ≠ = =

Transition [s2t180sr] (2-3-2-2-4-1-3-3): Small Road k=2 Mark #12 at C8R1 → Column 7 has 3 beads. Column 5 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 Mark #12 [s2t180sr]

Column 7 has 3 beads. Column 5 has 4 beads. Different depth → blue (≠).

  1. Column 8 starts, so use Rule 1: compare Column 7 with Column 5, 2 columns further back.
  2. Column 7 has 3 beads. Column 5 has 4 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 7, the one that just finished, with Column 5.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t180sr]
Small Road (k=2) · Col 8 Row 1

Pattern p03-double-bridge step 10 on Hand #18 of 20 (2-3-2-2-4-1-3-3).

Active vs Reference [s2t180sr]
Active Col 8 (Depth 3) vs Ref Col 5 (Depth 4)

Governed by Rule 1 (New Column) with lookback offset k=2.

Engine describeMark() [s2t180sr]
Column 7 has 3 beads. Column 5 has 4 beads. Different depth → blue (≠).

1. Column 8 starts, so use Rule 1: compare Column 7 with Column 5, 2 columns further back. 2. Column 7 has 3 beads. Column 5 has 4 beads. Different depth → blue (≠).

Learner Guardrail [s2t180sr]
Comparing the wrong columns. Compare Column 7, the one that just finished, with Column 5.

Verified against 14 total Small Road marks in [s2t180sr].

Next-Hand Ask-Road [s2t180sr]
Next B → BRR | Next P → RBB

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

TRANSITION PROOF · S2T180SR

Multi-Column Transition [s2t180sr]: Small Road (k=2) at C8R1 vs C5

With lookback k=2 in [s2t180sr], Small Road (小路 (Siu Lou)) checks active Column 8 Row 1 [s2t180sra] and Reference Column 5 (4 beads) on Hand #18 at Bellagio Las Vegas baccarat lounges: Column 7 has 3 beads. Column 5 has 4 beads. Different depth → blue (≠).

Applying Rule 1 (New Column) [s2t180srb1] on Small Road (k=2) [s2t180srb2], Hand #18 at Column 8 Row 1 [s2t180srb3] checks Column 5 (4 beads) [s2t180srb4] to output Blue (≠) [s2t180srb5] alongside Ask-Road B=BRR / P=RBB.

Transition Mark Ledger [s2t180sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t180srm1 #1s2t180src C3R2s2t180srr R2 (Ref C1)s2t180srv Red (=)
s2t180srm2 #2s2t180src C4R1s2t180srr R1 (Ref C1)s2t180srv Red (=)
s2t180srm3 #3s2t180src C4R2s2t180srr R2 (Ref C2)s2t180srv Red (=)
s2t180srm4 #4s2t180src C5R1s2t180srr R1 (Ref C2)s2t180srv Blue (≠)
  • [s2t180srk1] Coordinate C8R1 [s2t180srk2] compares against Ref C5 (depth 4) on Small Road k=2.
  • [s2t180srk3] Active column depth 3 [s2t180srk4] triggers Rule 1 (New Column) on Hand #18 for Blue (≠).
  • [s2t180srk5] Next-hand 問路 probe [s2t180srk6] after 20 hands outputs B=BRR and P=RBB.
INDEPENDENCE & SYMMETRY · S2T180SR

Streak-Break Geometry Across 20 Hands [s2t180sr]

Evaluating Hand #18 in [s2t180src1] confirms Small Road (k=2) [s2t180src2] is a deterministic function of Columns 5 and 8 [s2t180src3]; Red (=) and Blue (≠) never indicate Banker or Player [s2t180src4] across independent 8-deck deals [s2t180src5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t180sr], Blue (≠) at Column 8 Row 1 on Small Road indicates whether Banker or Player won Hand #18.
TruthComparing the wrong columns. Compare Column 7, the one that just finished, with Column 5. In [s2t180sr], Column 7 has 3 beads. Column 5 has 4 beads. Different depth → blue (≠).
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