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TWIN 2x2 COLUMN SYMMETRY · CATALOG DDT26 (SEED 204326)

Double-Double Twin Shoe DDT26: 67-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DDT26 (seed 204326) captures a repeating 2-bead BB-PP-BB-PP twin columns testing Rule 1 and Rule 2 Case 1 in tandem across 67 dealt 8-deck hands (27 Banker, 32 Player, 8 Tie). Its 28 logical Big Road columns occupy 28 display columns (C1:1P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:3P · C8:2B) and generate 57 Big Eye Boy marks (22R/35B), 55 Small Road marks (24R/31B), and 53 Cockroach Pig marks (37R/16B).

Verified 8-Deck Hands
67 (DDT26)
Outcome Split
27B / 32P / 8T
Peak Streaks
4B · 4P
Big Road Columns
28 Cols
Engine-Verified Scoreboard · 67 Hands

Read the Board at Table Speed

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

DDT26 (seed 204326): 67 hands (27B / 32P / 8T), peak streaks 4B & 4P across 28 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)
DDT26 Big Eye Boy Entry #4

Column 3 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

DDT26 Small Road Entry #2

Column 3 has 2 beads. Column 1 has 1 bead. Different depth → blue (≠).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

DDT26 Cockroach Pig Entry #2

Column 4 has 2 beads. Column 1 has 1 bead. Different depth → blue (≠).

  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 1 bead. Different depth → blue (≠).

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

DDT26 8-Deck Hand Distribution
67 Hands (27 Banker / 32 Player / 8 Tie)

Seed 204326 opening column signature: C1:1P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:3P · C8:2B.

DDT26 Big Road Span & Max Streaks
Max 4B / Max 4P Across 28 Logical Cols (28 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.

DDT26 Big Eye Boy Rule Breakdown
57 Marks (22R / 35B · 38.6% Red across 29 Display Cols)

Rule 1: 26 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 31.

DDT26 Small Road & Cockroach Pig Tally
SR: 24R/31B (43.6% Red) · CP: 37R/16B (69.8% 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.

DDT26 Hand #68 Next-Hand Probe
If B → BEB red, SR blue, CP red | If P → BEB blue, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #67 of DDT26.

DDT26 COLUMN GEOMETRY (DOUBLE-DOUBLE-TWIN)

DDT26 Scoreboard Structure: C1:1P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:3P · C8:2B

In catalog shoe DDT26 (seed 204326), 67 total hands resolve into 27 Banker wins, 32 Player wins, and 8 Ties across 28 logical columns (C1:1P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:3P · 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 DDT26 column by column shows peak runs of 4B and 4P spreading across 28 Big Road display columns: DDT26 records 26 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 31 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DDT26 (Seed 204326)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DDT26-C01 (H1–H2)1P (P) [DDT26]0B/1P (+1T @DDT26-C1)DDT26 Row1 Stop (Col1)NextColVsDDT26-C1: 1v1
DDT26-C02 (H3–H4)2B (BB) [DDT26]2B/1P (+0T @DDT26-C2)DDT26 Row2 Stop (Col2)NextColVsDDT26-C1: 2v1
DDT26-C03 (H5–H6)2P (PP) [DDT26]2B/3P (+0T @DDT26-C3)DDT26 Row2 Stop (Col3)NextColVsDDT26-C2: 2v2
DDT26-C04 (H7–H9)2B (BB) [DDT26]4B/3P (+1T @DDT26-C4)DDT26 Row2 Stop (Col4)NextColVsDDT26-C3: 2v2
DDT26-C05 (H10–H11)2P (PP) [DDT26]4B/5P (+0T @DDT26-C5)DDT26 Row2 Stop (Col5)NextColVsDDT26-C4: 2v2
DDT26-C06 (H12–H13)2B (BB) [DDT26]6B/5P (+0T @DDT26-C6)DDT26 Row2 Stop (Col6)NextColVsDDT26-C5: 2v2
DDT26-C07 (H14–H17)3P (PPP) [DDT26]6B/8P (+1T @DDT26-C7)DDT26 Row3 Stop (Col7)NextColVsDDT26-C6: 3v2
DDT26-C08 (H18–H19)2B (BB) [DDT26]8B/8P (+0T @DDT26-C8)DDT26 Row2 Stop (Col8)NextColVsDDT26-C7: 2v3
DDT26-C09 (H20–H24)4P (PPPP) [DDT26]8B/12P (+1T @DDT26-C9)DDT26 Row4 Stop (Col9)NextColVsDDT26-C8: 4v2
DDT26-C10 (H25–H25)1B (B) [DDT26]9B/12P (+0T @DDT26-C10)DDT26 Row1 Stop (Col10)NextColVsDDT26-C9: 1v4
  • DDT26 BEB #4 (RED): verified at DDT26 lookback-1 index 3 (22R/35B total).
  • DDT26 SR #2 (BLUE): verified at DDT26 lookback-2 index 1 (24R/31B total).
  • DDT26 CP #2 (BLUE): verified at DDT26 lookback-3 index 1 (37R/16B total).
DDT26 DERIVED-ROAD & CUT-CARD PROBE

DDT26 Lookback Split (22R/35B BEB · 24R/31B SR · 37R/16B 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 DDT26, Big Eye Boy prints 22 Red (38.6%) and 35 Blue marks, Small Road prints 24 Red (43.6%) and 31 Blue marks, and Cockroach Pig prints 37 Red (69.8%) and 16 Blue marks.

At the DDT26 cut card after Hand #67, probing Hand #68 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP RED and Player → BEB BLUE / SR RED / CP BLUE for DDT26.

Table Reality Check

Myth vs. Truth

MythThe second bead of each pair in DDT26 marks Blue because the 2-bead column is about to end.
TruthAt Row 2 in DDT26, 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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