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TWIN 2x2 COLUMN SYMMETRY · CATALOG DDT18 (SEED 204318)

Double-Double Twin Shoe DDT18: 81-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DDT18 (seed 204318) captures a repeating 2-bead BB-PP-BB-PP twin columns testing Rule 1 and Rule 2 Case 1 in tandem across 81 dealt 8-deck hands (36 Banker, 40 Player, 5 Tie). Its 35 logical Big Road columns occupy 35 display columns (C1:2P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B) and generate 73 Big Eye Boy marks (32R/41B), 71 Small Road marks (33R/38B), and 69 Cockroach Pig marks (51R/18B).

Verified 8-Deck Hands
81 (DDT18)
Outcome Split
36B / 40P / 5T
Peak Streaks
4B · 4P
Big Road Columns
35 Cols
Engine-Verified Scoreboard · 81 Hands

Read the Board at Table Speed

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Big Road P P B B P B B P P B B P P B B P P B P P B B B B P B B P P B P P P B B P P P B P P B B B P B B P P B P P B B B B P B B B P P B P P P B B P P P
Big Eye Boy = = = = = = ≠ ≠ ≠ ≠ ≠ = = = ≠ = = = ≠ ≠ ≠ = = = ≠ = = = ≠ ≠ ≠ = = ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠
Small Road = = = = = = ≠ ≠ ≠ = = = ≠ ≠ = = = = ≠ ≠ = = = = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ = = ≠ ≠ = = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = =
Cockroach Pig = = = = = = ≠ ≠ ≠ = = = = = = ≠ ≠ = = = = ≠ ≠ = = ≠ = = = = = = ≠ = = ≠ ≠ = = = = ≠ = = = = = = ≠ ≠ = = = = ≠ ≠ = = = ≠ = = = = = = = ≠ =

DDT18 (seed 204318): 81 hands (36B / 40P / 5T), peak streaks 4B & 4P across 35 logical columns.

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
DDT18 Big Eye Boy Entry #8

Column 5 has 2 beads. Column 4 has 2 beads. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 4, 1 column further back.
  2. Column 5 has 2 beads. Column 4 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 4.

DDT18 Small Road Entry #4

Column 4 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

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

DDT18 Cockroach Pig Entry #2

Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

DDT18 8-Deck Hand Distribution
81 Hands (36 Banker / 40 Player / 5 Tie)

Seed 204318 opening column signature: C1:2P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B.

DDT18 Big Road Span & Max Streaks
Max 4B / Max 4P Across 35 Logical Cols (35 Display Cols)

In a 2-by-2 twin run, the first bead of each pair triggers Rule 1 at Row 1 (comparing prior depth 2 against depth 2) and the second bead triggers Rule 2 Case 1 at Row 2.

DDT18 Big Eye Boy Rule Breakdown
73 Marks (32R / 41B · 43.8% Red across 36 Display Cols)

Rule 1: 33 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 40.

DDT18 Small Road & Cockroach Pig Tally
SR: 33R/38B (46.5% Red) · CP: 51R/18B (73.9% Red)

When a column finally extends to a third bead at Row 3, it steps exactly one row past the reference column's depth-2 stop point, producing a textbook Rule 2 Case 2 Blue (≠) break.

DDT18 Hand #82 Next-Hand Probe
If B → BEB blue, SR red, CP blue | If P → BEB red, SR blue, CP red

Computed by getNextRoadPredictions() after Hand #81 of DDT18.

DDT18 COLUMN GEOMETRY (DOUBLE-DOUBLE-TWIN)

DDT18 Scoreboard Structure: C1:2P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B

In catalog shoe DDT18 (seed 204318), 81 total hands resolve into 36 Banker wins, 40 Player wins, and 5 Ties across 35 logical columns (C1:2P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B). In a 2-by-2 twin run, the first bead of each pair triggers Rule 1 at Row 1 (comparing prior depth 2 against depth 2) and the second bead triggers Rule 2 Case 1 at Row 2.

Tracking DDT18 column by column shows peak runs of 4B and 4P spreading across 35 Big Road display columns: DDT18 records 33 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 40 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DDT18 (Seed 204318)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DDT18-C01 (H1–H2)2P (PP) [DDT18]0B/2P (+0T @DDT18-C1)DDT18 Row2 Stop (Col1)NextColVsDDT18-C1: 2v2
DDT18-C02 (H3–H4)2B (BB) [DDT18]2B/2P (+0T @DDT18-C2)DDT18 Row2 Stop (Col2)NextColVsDDT18-C1: 2v2
DDT18-C03 (H5–H7)2P (PP) [DDT18]2B/4P (+1T @DDT18-C3)DDT18 Row2 Stop (Col3)NextColVsDDT18-C2: 2v2
DDT18-C04 (H8–H9)2B (BB) [DDT18]4B/4P (+0T @DDT18-C4)DDT18 Row2 Stop (Col4)NextColVsDDT18-C3: 2v2
DDT18-C05 (H10–H11)2P (PP) [DDT18]4B/6P (+0T @DDT18-C5)DDT18 Row2 Stop (Col5)NextColVsDDT18-C4: 2v2
DDT18-C06 (H12–H13)2B (BB) [DDT18]6B/6P (+0T @DDT18-C6)DDT18 Row2 Stop (Col6)NextColVsDDT18-C5: 2v2
DDT18-C07 (H14–H15)2P (PP) [DDT18]6B/8P (+0T @DDT18-C7)DDT18 Row2 Stop (Col7)NextColVsDDT18-C6: 2v2
DDT18-C08 (H16–H17)2B (BB) [DDT18]8B/8P (+0T @DDT18-C8)DDT18 Row2 Stop (Col8)NextColVsDDT18-C7: 2v2
DDT18-C09 (H18–H21)3P (PPP) [DDT18]8B/11P (+1T @DDT18-C9)DDT18 Row3 Stop (Col9)NextColVsDDT18-C8: 3v2
DDT18-C10 (H22–H22)1B (B) [DDT18]9B/11P (+0T @DDT18-C10)DDT18 Row1 Stop (Col10)NextColVsDDT18-C9: 1v3
  • DDT18 BEB #8 (RED): verified at DDT18 lookback-1 index 7 (32R/41B total).
  • DDT18 SR #4 (RED): verified at DDT18 lookback-2 index 3 (33R/38B total).
  • DDT18 CP #2 (RED): verified at DDT18 lookback-3 index 1 (51R/18B total).
DDT18 DERIVED-ROAD & CUT-CARD PROBE

DDT18 Lookback Split (32R/41B BEB · 33R/38B SR · 51R/18B CP)

When a column finally extends to a third bead at Row 3, it steps exactly one row past the reference column's depth-2 stop point, producing a textbook Rule 2 Case 2 Blue (≠) break. Across DDT18, Big Eye Boy prints 32 Red (43.8%) and 41 Blue marks, Small Road prints 33 Red (46.5%) and 38 Blue marks, and Cockroach Pig prints 51 Red (73.9%) and 18 Blue marks.

At the DDT18 cut card after Hand #81, probing Hand #82 via getNextRoadPredictions() yields Banker → BEB BLUE / SR RED / CP BLUE and Player → BEB RED / SR BLUE / CP RED for DDT18.

Table Reality Check

Myth vs. Truth

MythThe second bead of each pair in DDT18 marks Blue because the 2-bead column is about to end.
TruthAt Row 2 in DDT18, the reference column also has a bead at Row 2, so Rule 2 Case 1 marks Red (=); a break only appears if a column stops at 1 or extends to Row 3.
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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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