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TWIN 2x2 COLUMN SYMMETRY · CATALOG DDT25 (SEED 204325)

Double-Double Twin Shoe DDT25: 80-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DDT25 (seed 204325) captures a repeating 2-bead BB-PP-BB-PP twin columns testing Rule 1 and Rule 2 Case 1 in tandem across 80 dealt 8-deck hands (39 Banker, 34 Player, 7 Tie). Its 34 logical Big Road columns occupy 34 display columns (C1:2B · C2:2P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:2P) and generate 70 Big Eye Boy marks (33R/37B), 68 Small Road marks (33R/35B), and 66 Cockroach Pig marks (51R/15B).

Verified 8-Deck Hands
80 (DDT25)
Outcome Split
39B / 34P / 7T
Peak Streaks
4B · 4P
Big Road Columns
34 Cols
Engine-Verified Scoreboard · 80 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 B B P P P B B B B B P P B B B P B B P P P B P B B B P B B P P P B P P P B B P B B P P B B B B P B B P P
Big Eye Boy = = = = = = ≠ ≠ = = = ≠ ≠ ≠ = = = ≠ = = = ≠ = = = ≠ = = = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠ =
Small Road = = = = = = ≠ ≠ = = = = ≠ = = = ≠ ≠ ≠ ≠ = = = = ≠ ≠ ≠ = = = ≠ ≠ = = ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ = = ≠ ≠ = = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠
Cockroach Pig = = = = = = ≠ ≠ = = = = ≠ = = = = = = = ≠ = = = = ≠ ≠ = = = = = ≠ = = = = = = ≠ ≠ = = = = ≠ ≠ = = = ≠ = = = = = = = ≠ = = ≠ ≠ = = =

DDT25 (seed 204325): 80 hands (39B / 34P / 7T), peak streaks 4B & 4P across 34 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)
DDT25 Big Eye Boy Entry #3

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

DDT25 Small Road Entry #6

Column 5 has 2 beads. Column 3 has 2 beads. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 2 beads. Column 3 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

DDT25 Cockroach Pig Entry #1

This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 1.
  2. Column 1 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

DDT25 8-Deck Hand Distribution
80 Hands (39 Banker / 34 Player / 7 Tie)

Seed 204325 opening column signature: C1:2B · C2:2P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:2P.

DDT25 Big Road Span & Max Streaks
Max 4B / Max 4P Across 34 Logical Cols (34 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.

DDT25 Big Eye Boy Rule Breakdown
70 Marks (33R / 37B · 47.1% Red across 33 Display Cols)

Rule 1: 32 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 38.

DDT25 Small Road & Cockroach Pig Tally
SR: 33R/35B (48.5% Red) · CP: 51R/15B (77.3% 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.

DDT25 Hand #81 Next-Hand Probe
If B → BEB red, SR blue, CP blue | If P → BEB blue, SR red, CP red

Computed by getNextRoadPredictions() after Hand #80 of DDT25.

DDT25 COLUMN GEOMETRY (DOUBLE-DOUBLE-TWIN)

DDT25 Scoreboard Structure: C1:2B · C2:2P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:2P

In catalog shoe DDT25 (seed 204325), 80 total hands resolve into 39 Banker wins, 34 Player wins, and 7 Ties across 34 logical columns (C1:2B · C2:2P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:2P). 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 DDT25 column by column shows peak runs of 4B and 4P spreading across 34 Big Road display columns: DDT25 records 32 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 38 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DDT25 (Seed 204325)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DDT25-C01 (H1–H2)2B (BB) [DDT25]2B/0P (+0T @DDT25-C1)DDT25 Row2 Stop (Col1)NextColVsDDT25-C1: 2v2
DDT25-C02 (H3–H4)2P (PP) [DDT25]2B/2P (+0T @DDT25-C2)DDT25 Row2 Stop (Col2)NextColVsDDT25-C1: 2v2
DDT25-C03 (H5–H7)2B (BB) [DDT25]4B/2P (+1T @DDT25-C3)DDT25 Row2 Stop (Col3)NextColVsDDT25-C2: 2v2
DDT25-C04 (H8–H9)2P (PP) [DDT25]4B/4P (+0T @DDT25-C4)DDT25 Row2 Stop (Col4)NextColVsDDT25-C3: 2v2
DDT25-C05 (H10–H11)2B (BB) [DDT25]6B/4P (+0T @DDT25-C5)DDT25 Row2 Stop (Col5)NextColVsDDT25-C4: 2v2
DDT25-C06 (H12–H13)2P (PP) [DDT25]6B/6P (+0T @DDT25-C6)DDT25 Row2 Stop (Col6)NextColVsDDT25-C5: 2v2
DDT25-C07 (H14–H15)2B (BB) [DDT25]8B/6P (+0T @DDT25-C7)DDT25 Row2 Stop (Col7)NextColVsDDT25-C6: 2v2
DDT25-C08 (H16–H18)2P (PP) [DDT25]8B/8P (+1T @DDT25-C8)DDT25 Row2 Stop (Col8)NextColVsDDT25-C7: 2v2
DDT25-C09 (H19–H20)2B (BB) [DDT25]10B/8P (+0T @DDT25-C9)DDT25 Row2 Stop (Col9)NextColVsDDT25-C8: 2v2
DDT25-C10 (H21–H23)3P (PPP) [DDT25]10B/11P (+0T @DDT25-C10)DDT25 Row3 Stop (Col10)NextColVsDDT25-C9: 3v2
  • DDT25 BEB #3 (RED): verified at DDT25 lookback-1 index 2 (33R/37B total).
  • DDT25 SR #6 (RED): verified at DDT25 lookback-2 index 5 (33R/35B total).
  • DDT25 CP #1 (RED): verified at DDT25 lookback-3 index 0 (51R/15B total).
DDT25 DERIVED-ROAD & CUT-CARD PROBE

DDT25 Lookback Split (33R/37B BEB · 33R/35B SR · 51R/15B 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 DDT25, Big Eye Boy prints 33 Red (47.1%) and 37 Blue marks, Small Road prints 33 Red (48.5%) and 35 Blue marks, and Cockroach Pig prints 51 Red (77.3%) and 15 Blue marks.

At the DDT25 cut card after Hand #80, probing Hand #81 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP BLUE and Player → BEB BLUE / SR RED / CP RED for DDT25.

Table Reality Check

Myth vs. Truth

MythThe second bead of each pair in DDT25 marks Blue because the 2-bead column is about to end.
TruthAt Row 2 in DDT25, 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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