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TRANSITION GEOMETRY · S2T187SR · K=2

Small Road Multi-Column Transition [s2t187sr]: Pattern 4 Step 7 at Column 8 Row 1 → Blue (≠)

Column 7 has 1 bead. Column 5 has 3 beads. Different depth → blue (≠). In multi-column transition [s2t187sr] (p04-quartet-twin, step 7), Small Road (小路 (Siu Lou), k=2) evaluates Hand #17 at Column 8 Row 1 against Column 5 (depth 3) across Manila Entertainment City tote boards.

Ref C5 (D3)
C8R1
Small Road k=2
BLUE (≠)
Hand #17/20
P4·S7
Ask B / Ask P
BBB/RRR
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Transition [s2t187sr] (4-2-1-2-3-3-1-4): Small Road k=2 Mark #10 at C8R1 → Column 7 has 1 bead. Column 5 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 #10 [s2t187sr]

Column 7 has 1 bead. Column 5 has 3 beads. Different depth → blue (≠).

  1. Column 8 starts, so use Rule 1: compare Column 7 with Column 5, 2 columns further back.
  2. Column 7 has 1 bead. Column 5 has 3 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 7, the one that just finished, with Column 5.

Verified Reference Data

Key Facts & Table Specifications

Transition Coordinate [s2t187sr]
Small Road (k=2) · Col 8 Row 1

Pattern p04-quartet-twin step 7 on Hand #17 of 20 (4-2-1-2-3-3-1-4).

Active vs Reference [s2t187sr]
Active Col 8 (Depth 4) vs Ref Col 5 (Depth 3)

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

Engine describeMark() [s2t187sr]
Column 7 has 1 bead. Column 5 has 3 beads. Different depth → blue (≠).

1. Column 8 starts, so use Rule 1: compare Column 7 with Column 5, 2 columns further back. 2. Column 7 has 1 bead. Column 5 has 3 beads. Different depth → blue (≠).

Learner Guardrail [s2t187sr]
Comparing the wrong columns. Compare Column 7, the one that just finished, with Column 5.

Verified against 13 total Small Road marks in [s2t187sr].

Next-Hand Ask-Road [s2t187sr]
Next B → BBB | Next P → RRR

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

TRANSITION PROOF · S2T187SR

Multi-Column Transition [s2t187sr]: Small Road (k=2) at C8R1 vs C5

Inside geometry record [s2t187sr], Hand #17 of 20 reaches Big Road Column 8 Row 1 [s2t187sra] while Small Road (k=2) inspects Reference Column 5 (3 beads) at Manila Entertainment City tote boards: Column 7 has 1 bead. Column 5 has 3 beads. Different depth → blue (≠).

Applying Rule 1 (New Column) [s2t187srb1] on Small Road (k=2) [s2t187srb2], Hand #17 at Column 8 Row 1 [s2t187srb3] checks Column 5 (3 beads) [s2t187srb4] to output Blue (≠) [s2t187srb5] alongside Ask-Road B=BBB / P=RRR.

Transition Mark Ledger [s2t187sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t187srm1 #1s2t187src C4R1s2t187srr R1 (Ref C1)s2t187srv Blue (≠)
s2t187srm2 #2s2t187src C4R2s2t187srr R2 (Ref C2)s2t187srv Red (=)
s2t187srm3 #3s2t187src C5R1s2t187srr R1 (Ref C2)s2t187srv Red (=)
s2t187srm4 #4s2t187src C5R2s2t187srr R2 (Ref C3)s2t187srv Blue (≠)
  • [s2t187srk1] Coordinate C8R1 [s2t187srk2] compares against Ref C5 (depth 3) on Small Road k=2.
  • [s2t187srk3] Active column depth 4 [s2t187srk4] triggers Rule 1 (New Column) on Hand #17 for Blue (≠).
  • [s2t187srk5] Next-hand 問路 probe [s2t187srk6] after 20 hands outputs B=BBB and P=RRR.
INDEPENDENCE & SYMMETRY · S2T187SR

Streak-Break Geometry Across 20 Hands [s2t187sr]

In [s2t187src1] (4-2-1-2-3-3-1-4), Small Road (k=2) [s2t187src2] updates at Hand #17 from Column 5 (depth 3) [s2t187src3]; derived-road colors never mean Banker or Player [s2t187src4] and every hand [s2t187src5] remains independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t187sr], Blue (≠) at Column 8 Row 1 on Small Road indicates whether Banker or Player won Hand #17.
TruthComparing the wrong columns. Compare Column 7, the one that just finished, with Column 5. In [s2t187sr], Column 7 has 1 bead. Column 5 has 3 beads. Different depth → blue (≠).
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