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TWIN 2x2 COLUMN SYMMETRY · CATALOG DDT34 (SEED 204334)

Double-Double Twin Shoe DDT34: 71-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DDT34 (seed 204334) captures a repeating 2-bead BB-PP-BB-PP twin columns testing Rule 1 and Rule 2 Case 1 in tandem across 71 dealt 8-deck hands (32 Banker, 33 Player, 6 Tie). Its 31 logical Big Road columns occupy 31 display columns (C1:2P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B) and generate 62 Big Eye Boy marks (29R/33B), 60 Small Road marks (30R/30B), and 58 Cockroach Pig marks (44R/14B).

Verified 8-Deck Hands
71 (DDT34)
Outcome Split
32B / 33P / 6T
Peak Streaks
4B · 4P
Big Road Columns
31 Cols
Engine-Verified Scoreboard · 71 Hands

Read the Board at Table Speed

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

DDT34 (seed 204334): 71 hands (32B / 33P / 6T), peak streaks 4B & 4P across 31 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)
DDT34 Big Eye Boy Entry #6

Column 4 has 2 beads. Column 3 has 2 beads. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 3.

DDT34 Small Road Entry #5

This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 3.
  2. Column 3 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 3 stopped exactly one row above this bead.

DDT34 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

DDT34 8-Deck Hand Distribution
71 Hands (32 Banker / 33 Player / 6 Tie)

Seed 204334 opening column signature: C1:2P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B.

DDT34 Big Road Span & Max Streaks
Max 4B / Max 4P Across 31 Logical Cols (31 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.

DDT34 Big Eye Boy Rule Breakdown
62 Marks (29R / 33B · 46.8% Red across 26 Display Cols)

Rule 1: 29 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 33.

DDT34 Small Road & Cockroach Pig Tally
SR: 30R/30B (50.0% Red) · CP: 44R/14B (75.9% 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.

DDT34 Hand #72 Next-Hand Probe
If B → BEB red, SR blue, CP blue | If P → BEB blue, SR red, CP red

Computed by getNextRoadPredictions() after Hand #71 of DDT34.

DDT34 COLUMN GEOMETRY (DOUBLE-DOUBLE-TWIN)

DDT34 Scoreboard Structure: C1:2P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B

In catalog shoe DDT34 (seed 204334), 71 total hands resolve into 32 Banker wins, 33 Player wins, and 6 Ties across 31 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 DDT34 column by column shows peak runs of 4B and 4P spreading across 31 Big Road display columns: DDT34 records 29 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 33 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DDT34 (Seed 204334)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DDT34-C01 (H1–H2)2P (PP) [DDT34]0B/2P (+0T @DDT34-C1)DDT34 Row2 Stop (Col1)NextColVsDDT34-C1: 2v2
DDT34-C02 (H3–H4)2B (BB) [DDT34]2B/2P (+0T @DDT34-C2)DDT34 Row2 Stop (Col2)NextColVsDDT34-C1: 2v2
DDT34-C03 (H5–H7)2P (PP) [DDT34]2B/4P (+1T @DDT34-C3)DDT34 Row2 Stop (Col3)NextColVsDDT34-C2: 2v2
DDT34-C04 (H8–H9)2B (BB) [DDT34]4B/4P (+0T @DDT34-C4)DDT34 Row2 Stop (Col4)NextColVsDDT34-C3: 2v2
DDT34-C05 (H10–H11)2P (PP) [DDT34]4B/6P (+0T @DDT34-C5)DDT34 Row2 Stop (Col5)NextColVsDDT34-C4: 2v2
DDT34-C06 (H12–H13)2B (BB) [DDT34]6B/6P (+0T @DDT34-C6)DDT34 Row2 Stop (Col6)NextColVsDDT34-C5: 2v2
DDT34-C07 (H14–H15)2P (PP) [DDT34]6B/8P (+0T @DDT34-C7)DDT34 Row2 Stop (Col7)NextColVsDDT34-C6: 2v2
DDT34-C08 (H16–H18)2B (BB) [DDT34]8B/8P (+1T @DDT34-C8)DDT34 Row2 Stop (Col8)NextColVsDDT34-C7: 2v2
DDT34-C09 (H19–H20)2P (PP) [DDT34]8B/10P (+0T @DDT34-C9)DDT34 Row2 Stop (Col9)NextColVsDDT34-C8: 2v2
DDT34-C10 (H21–H23)3B (BBB) [DDT34]11B/10P (+0T @DDT34-C10)DDT34 Row3 Stop (Col10)NextColVsDDT34-C9: 3v2
  • DDT34 BEB #6 (RED): verified at DDT34 lookback-1 index 5 (29R/33B total).
  • DDT34 SR #5 (RED): verified at DDT34 lookback-2 index 4 (30R/30B total).
  • DDT34 CP #2 (RED): verified at DDT34 lookback-3 index 1 (44R/14B total).
DDT34 DERIVED-ROAD & CUT-CARD PROBE

DDT34 Lookback Split (29R/33B BEB · 30R/30B SR · 44R/14B 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 DDT34, Big Eye Boy prints 29 Red (46.8%) and 33 Blue marks, Small Road prints 30 Red (50.0%) and 30 Blue marks, and Cockroach Pig prints 44 Red (75.9%) and 14 Blue marks.

At the DDT34 cut card after Hand #71, probing Hand #72 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP BLUE and Player → BEB BLUE / SR RED / CP RED for DDT34.

Table Reality Check

Myth vs. Truth

MythThe second bead of each pair in DDT34 marks Blue because the 2-bead column is about to end.
TruthAt Row 2 in DDT34, 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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