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TRANSITION GEOMETRY · S2T195SR · K=2

Small Road Multi-Column Transition [s2t195sr]: Pattern 5 Step 5 at Column 7 Row 1 → Blue (≠)

Column 6 has 3 beads. Column 4 has 2 beads. Different depth → blue (≠). In multi-column transition [s2t195sr] (p05-ascending-taper, step 5), Small Road (小路 (Siu Lou), k=2) evaluates Hand #16 at Column 7 Row 1 against Column 4 (depth 2) across Solaire Resort Manila display grids.

Ref C4 (D2)
C7R1
Small Road k=2
BLUE (≠)
Hand #16/20
P5·S5
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 B B P P B P P P B B B P P
Big Eye Boy = ≠ = ≠ = = ≠ = ≠ ≠ ≠ = ≠ = = = =
Small Road = ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ =
Cockroach Pig = = ≠ = = = = ≠ ≠ ≠

Transition [s2t195sr] (2-4-3-2-1-3-3-2): Small Road k=2 Mark #9 at C7R1 → Column 6 has 3 beads. Column 4 has 2 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 #9 [s2t195sr]

Column 6 has 3 beads. Column 4 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 4, 2 columns further back.
  2. Column 6 has 3 beads. Column 4 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 4.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t195sr]
Small Road (k=2) · Col 7 Row 1

Pattern p05-ascending-taper step 5 on Hand #16 of 20 (2-4-3-2-1-3-3-2).

Active vs Reference [s2t195sr]
Active Col 7 (Depth 3) vs Ref Col 4 (Depth 2)

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

Engine describeMark() [s2t195sr]
Column 6 has 3 beads. Column 4 has 2 beads. Different depth → blue (≠).

1. Column 7 starts, so use Rule 1: compare Column 6 with Column 4, 2 columns further back. 2. Column 6 has 3 beads. Column 4 has 2 beads. Different depth → blue (≠).

Learner Guardrail [s2t195sr]
Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 4.

Verified against 13 total Small Road marks in [s2t195sr].

Next-Hand Ask-Road [s2t195sr]
Next B → BBB | Next P → RRR

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

TRANSITION PROOF · S2T195SR

Multi-Column Transition [s2t195sr]: Small Road (k=2) at C7R1 vs C4

On scoreboard [s2t195sr], Small Road with lookback offset k=2 evaluates Column 7 Row 1 (depth 3) [s2t195sra] beside Column 4 (depth 2) at Solaire Resort Manila display grids, confirming Blue (≠) via Rule 1 (New Column): Column 6 has 3 beads. Column 4 has 2 beads. Different depth → blue (≠).

At coordinate C7R1 [s2t195srb1], Small Road (k=2) [s2t195srb2] tests Column 4 (depth 2) [s2t195srb3] under Rule 1 (New Column) [s2t195srb4] to confirm Blue (≠) [s2t195srb5] and next-hand probes B=BBB / P=RRR.

Transition Mark Ledger [s2t195sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t195srm1 #1s2t195src C3R2s2t195srr R2 (Ref C1)s2t195srv Red (=)
s2t195srm2 #2s2t195src C3R3s2t195srr R2 (Ref C1)s2t195srv Blue (≠)
s2t195srm3 #3s2t195src C4R1s2t195srr R1 (Ref C1)s2t195srv Blue (≠)
s2t195srm4 #4s2t195src C4R2s2t195srr R2 (Ref C2)s2t195srv Red (=)
  • [s2t195srk1] Coordinate C7R1 [s2t195srk2] compares against Ref C4 (depth 2) on Small Road k=2.
  • [s2t195srk3] Active column depth 3 [s2t195srk4] triggers Rule 1 (New Column) on Hand #16 for Blue (≠).
  • [s2t195srk5] Next-hand 問路 probe [s2t195srk6] after 20 hands outputs B=BBB and P=RRR.
INDEPENDENCE & SYMMETRY · S2T195SR

Streak-Break Geometry Across 20 Hands [s2t195sr]

Comparing C7R1 and C4 in [s2t195src1] demonstrates how Small Road (k=2) [s2t195src2] tracks Rule 1 (New Column) [s2t195src3]; Red (=) and Blue (≠) never stand for Banker or Player [s2t195src4] across independent 8-deck shoes [s2t195src5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t195sr], Blue (≠) at Column 7 Row 1 on Small Road indicates whether Banker or Player won Hand #16.
TruthComparing the wrong columns. Compare Column 6, the one that just finished, with Column 4. In [s2t195sr], Column 6 has 3 beads. Column 4 has 2 beads. Different depth → blue (≠).
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