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TRANSITION GEOMETRY · S2T158SR · K=2

Small Road Multi-Column Transition [s2t158sr]: Pattern 1 Step 8 at Column 6 Row 3 → Red (=)

This bead is at Row 3. Column 4 has a bead at Row 3 too → red (=). In multi-column transition [s2t158sr] (p01-paired-climb, step 8), Small Road (小路 (Siu Lou), k=2) evaluates Hand #13 at Column 6 Row 3 against Column 4 (depth 3) across Monte-Carlo Salle Blanche displays.

Ref C4 (D3)
C6R3
Small Road k=2
RED (=)
Hand #13/20
P1·S8
Ask B / Ask P
RBR/BRB
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Transition [s2t158sr] (2-2-1-3-2-4-2-4): Small Road k=2 Mark #8 at C6R3 → This bead is at Row 3. Column 4 has a bead at Row 3 too → red (=).

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 [s2t158sr]

This bead is at Row 3. Column 4 has a bead at Row 3 too → red (=).

  1. Column 6 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 4.
  2. Column 4 has a bead at Row 3 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 4 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t158sr]
Small Road (k=2) · Col 6 Row 3

Pattern p01-paired-climb step 8 on Hand #13 of 20 (2-2-1-3-2-4-2-4).

Active vs Reference [s2t158sr]
Active Col 6 (Depth 4) vs Ref Col 4 (Depth 3)

Governed by Rule 2 (Continue Down) with lookback offset k=2.

Engine describeMark() [s2t158sr]
This bead is at Row 3. Column 4 has a bead at Row 3 too → red (=).

1. Column 6 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 4. 2. Column 4 has a bead at Row 3 too → red (=).

Learner Guardrail [s2t158sr]
Thinking "no bead at this row" means blue. It is blue only when Column 4 stopped exactly one row above this bead.

Verified against 15 total Small Road marks in [s2t158sr].

Next-Hand Ask-Road [s2t158sr]
Next B → RBR | Next P → BRB

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

TRANSITION PROOF · S2T158SR

Multi-Column Transition [s2t158sr]: Small Road (k=2) at C6R3 vs C4

Checking Small Road (小路 (Siu Lou), lookback k=2) under [s2t158sr] at Monte-Carlo Salle Blanche displays, active Column 6 Row 3 [s2t158sra] compares with Column 4 (height 3) on Hand #13 to record Red (=): This bead is at Row 3. Column 4 has a bead at Row 3 too → red (=).

Step trace [s2t158srb1] confirms Small Road lookback k=2 [s2t158srb2] compares Column 6 Row 3 (depth 4) [s2t158srb3] with Column 4 (depth 3) [s2t158srb4] under Rule 2 (Continue Down) to yield Red (=) [s2t158srb5] while next-hand probes show B=RBR and P=BRB.

Transition Mark Ledger [s2t158sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t158srm1 #1s2t158src C4R1s2t158srr R1 (Ref C1)s2t158srv Blue (≠)
s2t158srm2 #2s2t158src C4R2s2t158srr R2 (Ref C2)s2t158srv Red (=)
s2t158srm3 #3s2t158src C4R3s2t158srr R2 (Ref C2)s2t158srv Blue (≠)
s2t158srm4 #4s2t158src C5R1s2t158srr R1 (Ref C2)s2t158srv Blue (≠)
  • [s2t158srk1] Coordinate C6R3 [s2t158srk2] compares against Ref C4 (depth 3) on Small Road k=2.
  • [s2t158srk3] Active column depth 4 [s2t158srk4] triggers Rule 2 (Continue Down) on Hand #13 for Red (=).
  • [s2t158srk5] Next-hand 問路 probe [s2t158srk6] after 20 hands outputs B=RBR and P=BRB.
INDEPENDENCE & SYMMETRY · S2T158SR

Streak-Break Geometry Across 20 Hands [s2t158sr]

At Monte-Carlo Salle Blanche displays [s2t158src1], Small Road (小路 (Siu Lou), k=2) [s2t158src2] plots Red (=) for Column 6 Row 3 [s2t158src3]; scoreboard colors on derived grids never represent Banker or Player [s2t158src4] and hands [s2t158src5] are independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t158sr], Red (=) at Column 6 Row 3 on Small Road indicates whether Banker or Player won Hand #13.
TruthThinking "no bead at this row" means blue. It is blue only when Column 4 stopped exactly one row above this bead. In [s2t158sr], This bead is at Row 3. Column 4 has a bead at Row 3 too → red (=).
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