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TRANSITION GEOMETRY · S2T242SR · K=2

Small Road Multi-Column Transition [s2t242sr]: Pattern 10 Step 2 at Column 7 Row 1 → Blue (≠)

Column 6 has 2 beads. Column 4 has 3 beads. Different depth → blue (≠). In multi-column transition [s2t242sr] (p10-wave-plateau, step 2), Small Road (小路 (Siu Lou), k=2) evaluates Hand #17 at Column 7 Row 1 against Column 4 (depth 3) across Monte-Carlo Salle Blanche displays.

Ref C4 (D3)
C7R1
Small Road k=2
BLUE (≠)
Hand #17/20
P10·S2
Ask B / Ask P
RRR/BBB
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Transition [s2t242sr] (3-2-4-3-2-2-3-1): Small Road k=2 Mark #11 at C7R1 → Column 6 has 2 beads. Column 4 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 #11 [s2t242sr]

Column 6 has 2 beads. Column 4 has 3 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 2 beads. Column 4 has 3 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 [s2t242sr]
Small Road (k=2) · Col 7 Row 1

Pattern p10-wave-plateau step 2 on Hand #17 of 20 (3-2-4-3-2-2-3-1).

Active vs Reference [s2t242sr]
Active Col 7 (Depth 3) vs Ref Col 4 (Depth 3)

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

Engine describeMark() [s2t242sr]
Column 6 has 2 beads. Column 4 has 3 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 2 beads. Column 4 has 3 beads. Different depth → blue (≠).

Learner Guardrail [s2t242sr]
Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 4.

Verified against 14 total Small Road marks in [s2t242sr].

Next-Hand Ask-Road [s2t242sr]
Next B → RRR | Next P → BBB

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

TRANSITION PROOF · S2T242SR

Multi-Column Transition [s2t242sr]: Small Road (k=2) at C7R1 vs C4

Matrix entry [s2t242sr] verifies Rule 1 (New Column) for Small Road (k=2) at Monte-Carlo Salle Blanche displays where Column 7 Row 1 [s2t242sra] meets Reference Column 4 (height 3) on Hand #17: Column 6 has 2 beads. Column 4 has 3 beads. Different depth → blue (≠).

Step trace [s2t242srb1] confirms Small Road lookback k=2 [s2t242srb2] compares Column 7 Row 1 (depth 3) [s2t242srb3] with Column 4 (depth 3) [s2t242srb4] under Rule 1 (New Column) to yield Blue (≠) [s2t242srb5] while next-hand probes show B=RRR and P=BBB.

Transition Mark Ledger [s2t242sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t242srm1 #1s2t242src C3R2s2t242srr R2 (Ref C1)s2t242srv Red (=)
s2t242srm2 #2s2t242src C3R3s2t242srr R2 (Ref C1)s2t242srv Red (=)
s2t242srm3 #3s2t242src C3R4s2t242srr R2 (Ref C1)s2t242srv Blue (≠)
s2t242srm4 #4s2t242src C4R1s2t242srr R1 (Ref C1)s2t242srv Blue (≠)
  • [s2t242srk1] Coordinate C7R1 [s2t242srk2] compares against Ref C4 (depth 3) on Small Road k=2.
  • [s2t242srk3] Active column depth 3 [s2t242srk4] triggers Rule 1 (New Column) on Hand #17 for Blue (≠).
  • [s2t242srk5] Next-hand 問路 probe [s2t242srk6] after 20 hands outputs B=RRR and P=BBB.
INDEPENDENCE & SYMMETRY · S2T242SR

Streak-Break Geometry Across 20 Hands [s2t242sr]

Within 20-hand shoe [s2t242src1], Small Road (lookback k=2) [s2t242src2] compares Column 7 Row 1 with Column 4 (depth 3) [s2t242src3] while derived symbols never denote Banker or Player [s2t242src4] and future hands [s2t242src5] stay independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t242sr], Blue (≠) at Column 7 Row 1 on Small Road indicates whether Banker or Player won Hand #17.
TruthComparing the wrong columns. Compare Column 6, the one that just finished, with Column 4. In [s2t242sr], Column 6 has 2 beads. Column 4 has 3 beads. Different depth → blue (≠).
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