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TRANSITION GEOMETRY · S2T173SR · K=2

Small Road Multi-Column Transition [s2t173sr]: Pattern 3 Step 3 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 [s2t173sr] (p03-double-bridge, step 3), Small Road (小路 (Siu Lou), k=2) evaluates Hand #11 at Column 5 Row 2 against Column 3 (depth 2) across Manila Entertainment City tote boards.

Ref C3 (D2)
C5R2
Small Road k=2
RED (=)
Hand #11/18
P3·S3
Ask B / Ask P
BBB/RRR
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Transition [s2t173sr] (2-3-2-2-4-1-1-3): Small Road k=2 Mark #5 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 #5 [s2t173sr]

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 [s2t173sr]
Small Road (k=2) · Col 5 Row 2

Pattern p03-double-bridge step 3 on Hand #11 of 18 (2-3-2-2-4-1-1-3).

Active vs Reference [s2t173sr]
Active Col 5 (Depth 4) vs Ref Col 3 (Depth 2)

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

Engine describeMark() [s2t173sr]
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 [s2t173sr]
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 [s2t173sr].

Next-Hand Ask-Road [s2t173sr]
Next B → BBB | Next P → RRR

Probed after Hand #18 across Big Eye Boy, Small Road, and Cockroach Pig.

TRANSITION PROOF · S2T173SR

Multi-Column Transition [s2t173sr]: Small Road (k=2) at C5R2 vs C3

With lookback k=2 in [s2t173sr], Small Road (小路 (Siu Lou)) checks active Column 5 Row 2 [s2t173sra] and Reference Column 3 (2 beads) on Hand #11 at Manila Entertainment City tote boards: This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).

Applying Rule 2 (Continue Down) [s2t173srb1] on Small Road (k=2) [s2t173srb2], Hand #11 at Column 5 Row 2 [s2t173srb3] checks Column 3 (2 beads) [s2t173srb4] to output Red (=) [s2t173srb5] alongside Ask-Road B=BBB / P=RRR.

Transition Mark Ledger [s2t173sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t173srm1 #1s2t173src C3R2s2t173srr R2 (Ref C1)s2t173srv Red (=)
s2t173srm2 #2s2t173src C4R1s2t173srr R1 (Ref C1)s2t173srv Red (=)
s2t173srm3 #3s2t173src C4R2s2t173srr R2 (Ref C2)s2t173srv Red (=)
s2t173srm4 #4s2t173src C5R1s2t173srr R1 (Ref C2)s2t173srv Blue (≠)
  • [s2t173srk1] Coordinate C5R2 [s2t173srk2] compares against Ref C3 (depth 2) on Small Road k=2.
  • [s2t173srk3] Active column depth 4 [s2t173srk4] triggers Rule 2 (Continue Down) on Hand #11 for Red (=).
  • [s2t173srk5] Next-hand 問路 probe [s2t173srk6] after 18 hands outputs B=BBB and P=RRR.
INDEPENDENCE & SYMMETRY · S2T173SR

Streak-Break Geometry Across 18 Hands [s2t173sr]

Evaluating Hand #11 in [s2t173src1] confirms Small Road (k=2) [s2t173src2] is a deterministic function of Columns 3 and 5 [s2t173src3]; Red (=) and Blue (≠) never indicate Banker or Player [s2t173src4] across independent 8-deck deals [s2t173src5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t173sr], Red (=) at Column 5 Row 2 on Small Road indicates whether Banker or Player won Hand #11.
TruthThinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead. In [s2t173sr], This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).
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