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TRANSITION GEOMETRY · S2T243SR · K=2

Small Road Multi-Column Transition [s2t243sr]: Pattern 10 Step 3 at Column 8 Row 1 → Blue (≠)

Column 7 has 1 bead. Column 5 has 2 beads. Different depth → blue (≠). In multi-column transition [s2t243sr] (p10-wave-plateau, step 3), Small Road (小路 (Siu Lou), k=2) evaluates Hand #18 at Column 8 Row 1 against Column 5 (depth 2) across Manila Entertainment City tote boards.

Ref C5 (D2)
C8R1
Small Road k=2
BLUE (≠)
Hand #18/20
P10·S3
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 P P B B B B P P P B B P P B P P P
Big Eye Boy = ≠ = ≠ = ≠ = = ≠ = ≠ = = ≠ ≠ =
Small Road = = ≠ ≠ = ≠ ≠ = ≠ = ≠ ≠ = ≠
Cockroach Pig = = = = = = ≠ ≠ = ≠

Transition [s2t243sr] (3-2-4-3-2-2-1-3): Small Road k=2 Mark #12 at C8R1 → Column 7 has 1 bead. Column 5 has 2 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 #12 [s2t243sr]

Column 7 has 1 bead. Column 5 has 2 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 2 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 [s2t243sr]
Small Road (k=2) · Col 8 Row 1

Pattern p10-wave-plateau step 3 on Hand #18 of 20 (3-2-4-3-2-2-1-3).

Active vs Reference [s2t243sr]
Active Col 8 (Depth 3) vs Ref Col 5 (Depth 2)

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

Engine describeMark() [s2t243sr]
Column 7 has 1 bead. Column 5 has 2 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 2 beads. Different depth → blue (≠).

Learner Guardrail [s2t243sr]
Comparing the wrong columns. Compare Column 7, the one that just finished, with Column 5.

Verified against 14 total Small Road marks in [s2t243sr].

Next-Hand Ask-Road [s2t243sr]
Next B → BBB | Next P → RRR

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

TRANSITION PROOF · S2T243SR

Multi-Column Transition [s2t243sr]: Small Road (k=2) at C8R1 vs C5

Inside geometry record [s2t243sr], Hand #18 of 20 reaches Big Road Column 8 Row 1 [s2t243sra] while Small Road (k=2) inspects Reference Column 5 (2 beads) at Manila Entertainment City tote boards: Column 7 has 1 bead. Column 5 has 2 beads. Different depth → blue (≠).

Applying Rule 1 (New Column) [s2t243srb1] on Small Road (k=2) [s2t243srb2], Hand #18 at Column 8 Row 1 [s2t243srb3] checks Column 5 (2 beads) [s2t243srb4] to output Blue (≠) [s2t243srb5] alongside Ask-Road B=BBB / P=RRR.

Transition Mark Ledger [s2t243sr] (Small Road, k=2)
MarkCoordRuleVerdict
s2t243srm1 #1s2t243src C3R2s2t243srr R2 (Ref C1)s2t243srv Red (=)
s2t243srm2 #2s2t243src C3R3s2t243srr R2 (Ref C1)s2t243srv Red (=)
s2t243srm3 #3s2t243src C3R4s2t243srr R2 (Ref C1)s2t243srv Blue (≠)
s2t243srm4 #4s2t243src C4R1s2t243srr R1 (Ref C1)s2t243srv Blue (≠)
  • [s2t243srk1] Coordinate C8R1 [s2t243srk2] compares against Ref C5 (depth 2) on Small Road k=2.
  • [s2t243srk3] Active column depth 3 [s2t243srk4] triggers Rule 1 (New Column) on Hand #18 for Blue (≠).
  • [s2t243srk5] Next-hand 問路 probe [s2t243srk6] after 20 hands outputs B=BBB and P=RRR.
INDEPENDENCE & SYMMETRY · S2T243SR

Streak-Break Geometry Across 20 Hands [s2t243sr]

In [s2t243src1] (3-2-4-3-2-2-1-3), Small Road (k=2) [s2t243src2] updates at Hand #18 from Column 5 (depth 2) [s2t243src3]; derived-road colors never mean Banker or Player [s2t243src4] and every hand [s2t243src5] remains independent.

Table Reality Check

Myth vs. Truth

MythIn transition [s2t243sr], Blue (≠) at Column 8 Row 1 on Small Road indicates whether Banker or Player won Hand #18.
TruthComparing the wrong columns. Compare Column 7, the one that just finished, with Column 5. In [s2t243sr], Column 7 has 1 bead. Column 5 has 2 beads. Different depth → blue (≠).
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