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TRANSITION GEOMETRY · S2T215SR · K=2

Small Road Multi-Column Transition [s2t215sr]: Pattern 7 Step 5 at Column 7 Row 2 → Red (=)

This bead is at Row 2. Column 5 has a bead at Row 2 too → red (=). In multi-column transition [s2t215sr] (p07-flat-drop, step 5), Small Road (小路 (Siu Lou), k=2) evaluates Hand #16 at Column 7 Row 2 against Column 5 (depth 2) across Manila Entertainment City tote boards.

Ref C5 (D2)
C7R2
Small Road k=2
RED (=)
Hand #16/19
P7·S5
Ask B / Ask P
BBR/RRB
Engine-Verified Scoreboard · 19 Hands

Read the Board at Table Speed

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

Transition [s2t215sr] (2-2-4-1-2-3-3-2): Small Road k=2 Mark #11 at C7R2 → This bead is at Row 2. Column 5 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 #11 [s2t215sr]

This bead is at Row 2. Column 5 has a bead at Row 2 too → red (=).

  1. Column 7 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 5.
  2. Column 5 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 5 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t215sr]
Small Road (k=2) · Col 7 Row 2

Pattern p07-flat-drop step 5 on Hand #16 of 19 (2-2-4-1-2-3-3-2).

Active vs Reference [s2t215sr]
Active Col 7 (Depth 3) vs Ref Col 5 (Depth 2)

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

Engine describeMark() [s2t215sr]
This bead is at Row 2. Column 5 has a bead at Row 2 too → red (=).

1. Column 7 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 5. 2. Column 5 has a bead at Row 2 too → red (=).

Learner Guardrail [s2t215sr]
Thinking "no bead at this row" means blue. It is blue only when Column 5 stopped exactly one row above this bead.

Verified against 14 total Small Road marks in [s2t215sr].

Next-Hand Ask-Road [s2t215sr]
Next B → BBR | Next P → RRB

Probed after Hand #19 across Big Eye Boy, Small Road, and Cockroach Pig.

TRANSITION PROOF · S2T215SR

Multi-Column Transition [s2t215sr]: Small Road (k=2) at C7R2 vs C5

With lookback k=2 in [s2t215sr], Small Road (小路 (Siu Lou)) checks active Column 7 Row 2 [s2t215sra] and Reference Column 5 (2 beads) on Hand #16 at Manila Entertainment City tote boards: This bead is at Row 2. Column 5 has a bead at Row 2 too → red (=).

Applying Rule 2 (Continue Down) [s2t215srb1] on Small Road (k=2) [s2t215srb2], Hand #16 at Column 7 Row 2 [s2t215srb3] checks Column 5 (2 beads) [s2t215srb4] to output Red (=) [s2t215srb5] alongside Ask-Road B=BBR / P=RRB.

Transition Mark Ledger [s2t215sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t215srm1 #1s2t215src C3R2s2t215srr R2 (Ref C1)s2t215srv Red (=)
s2t215srm2 #2s2t215src C3R3s2t215srr R2 (Ref C1)s2t215srv Blue (≠)
s2t215srm3 #3s2t215src C3R4s2t215srr R2 (Ref C1)s2t215srv Red (=)
s2t215srm4 #4s2t215src C4R1s2t215srr R1 (Ref C1)s2t215srv Blue (≠)
  • [s2t215srk1] Coordinate C7R2 [s2t215srk2] compares against Ref C5 (depth 2) on Small Road k=2.
  • [s2t215srk3] Active column depth 3 [s2t215srk4] triggers Rule 2 (Continue Down) on Hand #16 for Red (=).
  • [s2t215srk5] Next-hand 問路 probe [s2t215srk6] after 19 hands outputs B=BBR and P=RRB.
INDEPENDENCE & SYMMETRY · S2T215SR

Streak-Break Geometry Across 19 Hands [s2t215sr]

Evaluating Hand #16 in [s2t215src1] confirms Small Road (k=2) [s2t215src2] is a deterministic function of Columns 5 and 7 [s2t215src3]; Red (=) and Blue (≠) never indicate Banker or Player [s2t215src4] across independent 8-deck deals [s2t215src5].

Table Reality Check

Myth vs. Truth

MythIn transition [s2t215sr], Red (=) at Column 7 Row 2 on Small Road indicates whether Banker or Player won Hand #16.
TruthThinking "no bead at this row" means blue. It is blue only when Column 5 stopped exactly one row above this bead. In [s2t215sr], This bead is at Row 2. Column 5 has a bead at Row 2 too → red (=).
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