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TRANSITION GEOMETRY · S2T256SR · K=2

Small Road Multi-Column Transition [s2t256sr]: Pattern 11 Step 6 at Column 5 Row 2 → Red (=)

This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=). In multi-column transition [s2t256sr] (p11-stair-rebound, step 6), Small Road (小路 (Siu Lou), k=2) evaluates Hand #12 at Column 5 Row 2 against Column 3 (depth 2) across Monte-Carlo Salle Blanche displays.

Ref C3 (D2)
C5R2
Small Road k=2
RED (=)
Hand #12/20
P11·S6
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 B P P B P P B B B P P P P B
Big Eye Boy = = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠
Small Road = ≠ ≠ = = ≠ = ≠ = ≠ = ≠
Cockroach Pig ≠ = ≠ = ≠ ≠ ≠ = = ≠

Transition [s2t256sr] (4-3-2-1-2-3-4-1): Small Road k=2 Mark #4 at C5R2 → This bead is at Row 2. Column 3 has a bead at Row 2 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 #4 [s2t256sr]

This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 3.
  2. Column 3 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t256sr]
Small Road (k=2) · Col 5 Row 2

Pattern p11-stair-rebound step 6 on Hand #12 of 20 (4-3-2-1-2-3-4-1).

Active vs Reference [s2t256sr]
Active Col 5 (Depth 2) vs Ref Col 3 (Depth 2)

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

Engine describeMark() [s2t256sr]
This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).

1. Column 5 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 3. 2. Column 3 has a bead at Row 2 too → red (=).

Learner Guardrail [s2t256sr]
Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Verified against 12 total Small Road marks in [s2t256sr].

Next-Hand Ask-Road [s2t256sr]
Next B → RRR | Next P → BBB

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

TRANSITION PROOF · S2T256SR

Multi-Column Transition [s2t256sr]: Small Road (k=2) at C5R2 vs C3

Checking Small Road (小路 (Siu Lou), lookback k=2) under [s2t256sr] at Monte-Carlo Salle Blanche displays, active Column 5 Row 2 [s2t256sra] compares with Column 3 (height 2) on Hand #12 to record Red (=): This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).

Step trace [s2t256srb1] confirms Small Road lookback k=2 [s2t256srb2] compares Column 5 Row 2 (depth 2) [s2t256srb3] with Column 3 (depth 2) [s2t256srb4] under Rule 2 (Continue Down) to yield Red (=) [s2t256srb5] while next-hand probes show B=RRR and P=BBB.

Transition Mark Ledger [s2t256sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t256srm1 #1s2t256src C3R2s2t256srr R2 (Ref C1)s2t256srv Red (=)
s2t256srm2 #2s2t256src C4R1s2t256srr R1 (Ref C1)s2t256srv Blue (≠)
s2t256srm3 #3s2t256src C5R1s2t256srr R1 (Ref C2)s2t256srv Blue (≠)
s2t256srm4 #4s2t256src C5R2s2t256srr R2 (Ref C3)s2t256srv Red (=)
  • [s2t256srk1] Coordinate C5R2 [s2t256srk2] compares against Ref C3 (depth 2) on Small Road k=2.
  • [s2t256srk3] Active column depth 2 [s2t256srk4] triggers Rule 2 (Continue Down) on Hand #12 for Red (=).
  • [s2t256srk5] Next-hand 問路 probe [s2t256srk6] after 20 hands outputs B=RRR and P=BBB.
INDEPENDENCE & SYMMETRY · S2T256SR

Streak-Break Geometry Across 20 Hands [s2t256sr]

At Monte-Carlo Salle Blanche displays [s2t256src1], Small Road (小路 (Siu Lou), k=2) [s2t256src2] plots Red (=) for Column 5 Row 2 [s2t256src3]; scoreboard colors on derived grids never represent Banker or Player [s2t256src4] and hands [s2t256src5] are independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t256sr], Red (=) at Column 5 Row 2 on Small Road indicates whether Banker or Player won Hand #12.
TruthThinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead. In [s2t256sr], This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).
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