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TRANSITION GEOMETRY · S2T201SR · K=2

Small Road Multi-Column Transition [s2t201sr]: Pattern 6 Step 1 at Column 5 Row 1 → Blue (≠)

Column 4 has 4 beads. Column 2 has 3 beads. Different depth → blue (≠). In multi-column transition [s2t201sr] (p06-twin-crest, step 1), Small Road (小路 (Siu Lou), k=2) evaluates Hand #13 at Column 5 Row 1 against Column 2 (depth 3) across Manila Entertainment City tote boards.

Ref C2 (D3)
C5R1
Small Road k=2
BLUE (≠)
Hand #13/19
P6·S1
Ask B / Ask P
RBR/BRB
Engine-Verified Scoreboard · 19 Hands

Read the Board at Table Speed

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

Transition [s2t201sr] (3-3-2-4-2-1-2-2): Small Road k=2 Mark #6 at C5R1 → Column 4 has 4 beads. Column 2 has 3 beads. Different depth → blue (≠).

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 #6 [s2t201sr]

Column 4 has 4 beads. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 4 beads. Column 2 has 3 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t201sr]
Small Road (k=2) · Col 5 Row 1

Pattern p06-twin-crest step 1 on Hand #13 of 19 (3-3-2-4-2-1-2-2).

Active vs Reference [s2t201sr]
Active Col 5 (Depth 2) vs Ref Col 2 (Depth 3)

Governed by Rule 1 (New Column) with lookback offset k=2.

Engine describeMark() [s2t201sr]
Column 4 has 4 beads. Column 2 has 3 beads. Different depth → blue (≠).

1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back. 2. Column 4 has 4 beads. Column 2 has 3 beads. Different depth → blue (≠).

Learner Guardrail [s2t201sr]
Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Verified against 12 total Small Road marks in [s2t201sr].

Next-Hand Ask-Road [s2t201sr]
Next B → RBR | Next P → BRB

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

TRANSITION PROOF · S2T201SR

Multi-Column Transition [s2t201sr]: Small Road (k=2) at C5R1 vs C2

Inside geometry record [s2t201sr], Hand #13 of 19 reaches Big Road Column 5 Row 1 [s2t201sra] while Small Road (k=2) inspects Reference Column 2 (3 beads) at Manila Entertainment City tote boards: Column 4 has 4 beads. Column 2 has 3 beads. Different depth → blue (≠).

Applying Rule 1 (New Column) [s2t201srb1] on Small Road (k=2) [s2t201srb2], Hand #13 at Column 5 Row 1 [s2t201srb3] checks Column 2 (3 beads) [s2t201srb4] to output Blue (≠) [s2t201srb5] alongside Ask-Road B=RBR / P=BRB.

Transition Mark Ledger [s2t201sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t201srm1 #1s2t201src C3R2s2t201srr R2 (Ref C1)s2t201srv Red (=)
s2t201srm2 #2s2t201src C4R1s2t201srr R1 (Ref C1)s2t201srv Blue (≠)
s2t201srm3 #3s2t201src C4R2s2t201srr R2 (Ref C2)s2t201srv Red (=)
s2t201srm4 #4s2t201src C4R3s2t201srr R2 (Ref C2)s2t201srv Red (=)
  • [s2t201srk1] Coordinate C5R1 [s2t201srk2] compares against Ref C2 (depth 3) on Small Road k=2.
  • [s2t201srk3] Active column depth 2 [s2t201srk4] triggers Rule 1 (New Column) on Hand #13 for Blue (≠).
  • [s2t201srk5] Next-hand 問路 probe [s2t201srk6] after 19 hands outputs B=RBR and P=BRB.
INDEPENDENCE & SYMMETRY · S2T201SR

Streak-Break Geometry Across 19 Hands [s2t201sr]

In [s2t201src1] (3-3-2-4-2-1-2-2), Small Road (k=2) [s2t201src2] updates at Hand #13 from Column 2 (depth 3) [s2t201src3]; derived-road colors never mean Banker or Player [s2t201src4] and every hand [s2t201src5] remains independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t201sr], Blue (≠) at Column 5 Row 1 on Small Road indicates whether Banker or Player won Hand #13.
TruthComparing the wrong columns. Compare Column 4, the one that just finished, with Column 2. In [s2t201sr], Column 4 has 4 beads. Column 2 has 3 beads. Different depth → blue (≠).
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