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TRANSITION GEOMETRY · S2T228SR · K=2

Small Road Multi-Column Transition [s2t228sr]: Pattern 8 Step 8 at Column 4 Row 1 → Blue (≠)

Column 3 has 2 beads. Column 1 has 4 beads. Different depth → blue (≠). In multi-column transition [s2t228sr] (p08-five-step, step 8), Small Road (小路 (Siu Lou), k=2) evaluates Hand #9 at Column 4 Row 1 against Column 1 (depth 4) across Monte-Carlo Salle Blanche displays.

Ref C1 (D4)
C4R1
Small Road k=2
BLUE (≠)
Hand #9/20
P8·S8
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 P B B P P B B B P B B P P B B B B
Big Eye Boy = ≠ = = = ≠ ≠ ≠ ≠ ≠ = = = ≠ =
Small Road = ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ = ≠ =
Cockroach Pig = = ≠ ≠ = = = ≠ ≠ = =

Transition [s2t228sr] (4-2-2-3-1-2-2-4): Small Road k=2 Mark #2 at C4R1 → Column 3 has 2 beads. Column 1 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 #2 [s2t228sr]

Column 3 has 2 beads. Column 1 has 4 beads. Different depth → blue (≠).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t228sr]
Small Road (k=2) · Col 4 Row 1

Pattern p08-five-step step 8 on Hand #9 of 20 (4-2-2-3-1-2-2-4).

Active vs Reference [s2t228sr]
Active Col 4 (Depth 3) vs Ref Col 1 (Depth 4)

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

Engine describeMark() [s2t228sr]
Column 3 has 2 beads. Column 1 has 4 beads. Different depth → blue (≠).

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

Learner Guardrail [s2t228sr]
Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

Verified against 13 total Small Road marks in [s2t228sr].

Next-Hand Ask-Road [s2t228sr]
Next B → RRR | Next P → BBB

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

TRANSITION PROOF · S2T228SR

Multi-Column Transition [s2t228sr]: Small Road (k=2) at C4R1 vs C1

Matrix entry [s2t228sr] verifies Rule 1 (New Column) for Small Road (k=2) at Monte-Carlo Salle Blanche displays where Column 4 Row 1 [s2t228sra] meets Reference Column 1 (height 4) on Hand #9: Column 3 has 2 beads. Column 1 has 4 beads. Different depth → blue (≠).

Step trace [s2t228srb1] confirms Small Road lookback k=2 [s2t228srb2] compares Column 4 Row 1 (depth 3) [s2t228srb3] with Column 1 (depth 4) [s2t228srb4] under Rule 1 (New Column) to yield Blue (≠) [s2t228srb5] while next-hand probes show B=RRR and P=BBB.

Transition Mark Ledger [s2t228sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t228srm1 #1s2t228src C3R2s2t228srr R2 (Ref C1)s2t228srv Red (=)
s2t228srm2 #2s2t228src C4R1s2t228srr R1 (Ref C1)s2t228srv Blue (≠)
s2t228srm3 #3s2t228src C4R2s2t228srr R2 (Ref C2)s2t228srv Red (=)
s2t228srm4 #4s2t228src C4R3s2t228srr R2 (Ref C2)s2t228srv Blue (≠)
  • [s2t228srk1] Coordinate C4R1 [s2t228srk2] compares against Ref C1 (depth 4) on Small Road k=2.
  • [s2t228srk3] Active column depth 3 [s2t228srk4] triggers Rule 1 (New Column) on Hand #9 for Blue (≠).
  • [s2t228srk5] Next-hand 問路 probe [s2t228srk6] after 20 hands outputs B=RRR and P=BBB.
INDEPENDENCE & SYMMETRY · S2T228SR

Streak-Break Geometry Across 20 Hands [s2t228sr]

Within 20-hand shoe [s2t228src1], Small Road (lookback k=2) [s2t228src2] compares Column 4 Row 1 with Column 1 (depth 4) [s2t228src3] while derived symbols never denote Banker or Player [s2t228src4] and future hands [s2t228src5] stay independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t228sr], Blue (≠) at Column 4 Row 1 on Small Road indicates whether Banker or Player won Hand #9.
TruthComparing the wrong columns. Compare Column 3, the one that just finished, with Column 1. In [s2t228sr], Column 3 has 2 beads. Column 1 has 4 beads. Different depth → blue (≠).
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