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TRANSITION GEOMETRY · S2T167SR · K=2

Small Road Multi-Column Transition [s2t167sr]: Pattern 2 Step 7 at Column 6 Row 1 → Blue (≠)

Column 5 has 4 beads. Column 3 has 3 beads. Different depth → blue (≠). In multi-column transition [s2t167sr] (p02-triplet-anchor, step 7), Small Road (小路 (Siu Lou), k=2) evaluates Hand #14 at Column 6 Row 1 against Column 3 (depth 3) across Solaire Resort Manila display grids.

Ref C3 (D3)
C6R1
Small Road k=2
BLUE (≠)
Hand #14/20
P2·S7
Ask B / Ask P
BBR/RRB
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Transition [s2t167sr] (3-2-3-1-4-2-1-4): Small Road k=2 Mark #8 at C6R1 → Column 5 has 4 beads. Column 3 has 3 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 #8 [s2t167sr]

Column 5 has 4 beads. Column 3 has 3 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 4 beads. Column 3 has 3 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

Transition Coordinate [s2t167sr]
Small Road (k=2) · Col 6 Row 1

Pattern p02-triplet-anchor step 7 on Hand #14 of 20 (3-2-3-1-4-2-1-4).

Active vs Reference [s2t167sr]
Active Col 6 (Depth 2) vs Ref Col 3 (Depth 3)

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

Engine describeMark() [s2t167sr]
Column 5 has 4 beads. Column 3 has 3 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 4 beads. Column 3 has 3 beads. Different depth → blue (≠).

Learner Guardrail [s2t167sr]
Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Verified against 14 total Small Road marks in [s2t167sr].

Next-Hand Ask-Road [s2t167sr]
Next B → BBR | Next P → RRB

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

TRANSITION PROOF · S2T167SR

Multi-Column Transition [s2t167sr]: Small Road (k=2) at C6R1 vs C3

Structural audit [s2t167sr] follows Small Road (k=2) on Solaire Resort Manila display grids boards as Hand #14 places a bead at Column 6 Row 1 [s2t167sra] opposite Column 3 (depth 3): Column 5 has 4 beads. Column 3 has 3 beads. Different depth → blue (≠).

At coordinate C6R1 [s2t167srb1], Small Road (k=2) [s2t167srb2] tests Column 3 (depth 3) [s2t167srb3] under Rule 1 (New Column) [s2t167srb4] to confirm Blue (≠) [s2t167srb5] and next-hand probes B=BBR / P=RRB.

Transition Mark Ledger [s2t167sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t167srm1 #1s2t167src C3R2s2t167srr R2 (Ref C1)s2t167srv Red (=)
s2t167srm2 #2s2t167src C3R3s2t167srr R2 (Ref C1)s2t167srv Red (=)
s2t167srm3 #3s2t167src C4R1s2t167srr R1 (Ref C1)s2t167srv Red (=)
s2t167srm4 #4s2t167src C5R1s2t167srr R1 (Ref C2)s2t167srv Blue (≠)
  • [s2t167srk1] Coordinate C6R1 [s2t167srk2] compares against Ref C3 (depth 3) on Small Road k=2.
  • [s2t167srk3] Active column depth 2 [s2t167srk4] triggers Rule 1 (New Column) on Hand #14 for Blue (≠).
  • [s2t167srk5] Next-hand 問路 probe [s2t167srk6] after 20 hands outputs B=BBR and P=RRB.
INDEPENDENCE & SYMMETRY · S2T167SR

Streak-Break Geometry Across 20 Hands [s2t167sr]

Board profile 3-2-3-1-4-2-1-4 [s2t167src1] illustrates that Small Road (k=2) [s2t167src2] at Column 6 Row 1 vs Column 3 [s2t167src3] measures historical alignment; derived colors never mean Banker or Player [s2t167src4] and 8-deck hands [s2t167src5] are independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t167sr], Blue (≠) at Column 6 Row 1 on Small Road indicates whether Banker or Player won Hand #14.
TruthComparing the wrong columns. Compare Column 5, the one that just finished, with Column 3. In [s2t167sr], Column 5 has 4 beads. Column 3 has 3 beads. Different depth → blue (≠).
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