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TRANSITION GEOMETRY · S2T200SR · K=2

Small Road Multi-Column Transition [s2t200sr]: Pattern 5 Step 10 at Column 8 Row 3 → Red (=)

This bead is at Row 3. Column 6 has a bead at Row 3 too → red (=). In multi-column transition [s2t200sr] (p05-ascending-taper, step 10), Small Road (小路 (Siu Lou), k=2) evaluates Hand #21 at Column 8 Row 3 against Column 6 (depth 3) across Monte-Carlo Salle Blanche displays.

Ref C6 (D3)
C8R3
Small Road k=2
RED (=)
Hand #21/21
P5·S10
Ask B / Ask P
BBR/RRB
Engine-Verified Scoreboard · 21 Hands

Read the Board at Table Speed

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

Transition [s2t200sr] (2-4-3-2-1-3-3-3): Small Road k=2 Mark #14 at C8R3 → This bead is at Row 3. Column 6 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 #14 [s2t200sr]

This bead is at Row 3. Column 6 has a bead at Row 3 too → red (=).

  1. Column 8 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 6.
  2. Column 6 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 6 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t200sr]
Small Road (k=2) · Col 8 Row 3

Pattern p05-ascending-taper step 10 on Hand #21 of 21 (2-4-3-2-1-3-3-3).

Active vs Reference [s2t200sr]
Active Col 8 (Depth 3) vs Ref Col 6 (Depth 3)

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

Engine describeMark() [s2t200sr]
This bead is at Row 3. Column 6 has a bead at Row 3 too → red (=).

1. Column 8 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 6. 2. Column 6 has a bead at Row 3 too → red (=).

Learner Guardrail [s2t200sr]
Thinking "no bead at this row" means blue. It is blue only when Column 6 stopped exactly one row above this bead.

Verified against 14 total Small Road marks in [s2t200sr].

Next-Hand Ask-Road [s2t200sr]
Next B → BBR | Next P → RRB

Probed after Hand #21 across Big Eye Boy, Small Road, and Cockroach Pig.

TRANSITION PROOF · S2T200SR

Multi-Column Transition [s2t200sr]: Small Road (k=2) at C8R3 vs C6

Checking Small Road (小路 (Siu Lou), lookback k=2) under [s2t200sr] at Monte-Carlo Salle Blanche displays, active Column 8 Row 3 [s2t200sra] compares with Column 6 (height 3) on Hand #21 to record Red (=): This bead is at Row 3. Column 6 has a bead at Row 3 too → red (=).

Step trace [s2t200srb1] confirms Small Road lookback k=2 [s2t200srb2] compares Column 8 Row 3 (depth 3) [s2t200srb3] with Column 6 (depth 3) [s2t200srb4] under Rule 2 (Continue Down) to yield Red (=) [s2t200srb5] while next-hand probes show B=BBR and P=RRB.

Transition Mark Ledger [s2t200sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t200srm1 #1s2t200src C3R2s2t200srr R2 (Ref C1)s2t200srv Red (=)
s2t200srm2 #2s2t200src C3R3s2t200srr R2 (Ref C1)s2t200srv Blue (≠)
s2t200srm3 #3s2t200src C4R1s2t200srr R1 (Ref C1)s2t200srv Blue (≠)
s2t200srm4 #4s2t200src C4R2s2t200srr R2 (Ref C2)s2t200srv Red (=)
  • [s2t200srk1] Coordinate C8R3 [s2t200srk2] compares against Ref C6 (depth 3) on Small Road k=2.
  • [s2t200srk3] Active column depth 3 [s2t200srk4] triggers Rule 2 (Continue Down) on Hand #21 for Red (=).
  • [s2t200srk5] Next-hand 問路 probe [s2t200srk6] after 21 hands outputs B=BBR and P=RRB.
INDEPENDENCE & SYMMETRY · S2T200SR

Streak-Break Geometry Across 21 Hands [s2t200sr]

At Monte-Carlo Salle Blanche displays [s2t200src1], Small Road (小路 (Siu Lou), k=2) [s2t200src2] plots Red (=) for Column 8 Row 3 [s2t200src3]; scoreboard colors on derived grids never represent Banker or Player [s2t200src4] and hands [s2t200src5] are independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t200sr], Red (=) at Column 8 Row 3 on Small Road indicates whether Banker or Player won Hand #21.
TruthThinking "no bead at this row" means blue. It is blue only when Column 6 stopped exactly one row above this bead. In [s2t200sr], This bead is at Row 3. Column 6 has a bead at Row 3 too → red (=).
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