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TWIN 2x2 COLUMN SYMMETRY · CATALOG DDT30 (SEED 204330)

Double-Double Twin Shoe DDT30: 69-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DDT30 (seed 204330) captures a repeating 2-bead BB-PP-BB-PP twin columns testing Rule 1 and Rule 2 Case 1 in tandem across 69 dealt 8-deck hands (31 Banker, 31 Player, 7 Tie). Its 31 logical Big Road columns occupy 31 display columns (C1:1P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B) and generate 60 Big Eye Boy marks (28R/32B), 58 Small Road marks (27R/31B), and 56 Cockroach Pig marks (42R/14B).

Verified 8-Deck Hands
69 (DDT30)
Outcome Split
31B / 31P / 7T
Peak Streaks
4B · 4P
Big Road Columns
31 Cols
Engine-Verified Scoreboard · 69 Hands

Read the Board at Table Speed

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

DDT30 (seed 204330): 69 hands (31B / 31P / 7T), 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)
DDT30 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.

DDT30 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.

DDT30 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

DDT30 8-Deck Hand Distribution
69 Hands (31 Banker / 31 Player / 7 Tie)

Seed 204330 opening column signature: C1:1P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B.

DDT30 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.

DDT30 Big Eye Boy Rule Breakdown
60 Marks (28R / 32B · 46.7% Red across 27 Display Cols)

Rule 1: 29 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 31.

DDT30 Small Road & Cockroach Pig Tally
SR: 27R/31B (46.6% Red) · CP: 42R/14B (75.0% 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.

DDT30 Hand #70 Next-Hand Probe
If B → BEB red, SR blue, CP blue | If P → BEB blue, SR red, CP red

Computed by getNextRoadPredictions() after Hand #69 of DDT30.

DDT30 COLUMN GEOMETRY (DOUBLE-DOUBLE-TWIN)

DDT30 Scoreboard Structure: C1:1P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B

In catalog shoe DDT30 (seed 204330), 69 total hands resolve into 31 Banker wins, 31 Player wins, and 7 Ties across 31 logical columns (C1:1P · 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 DDT30 column by column shows peak runs of 4B and 4P spreading across 31 Big Road display columns: DDT30 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 31 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DDT30 (Seed 204330)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DDT30-C01 (H1–H2)1P (P) [DDT30]0B/1P (+1T @DDT30-C1)DDT30 Row1 Stop (Col1)NextColVsDDT30-C1: 1v1
DDT30-C02 (H3–H4)2B (BB) [DDT30]2B/1P (+0T @DDT30-C2)DDT30 Row2 Stop (Col2)NextColVsDDT30-C1: 2v1
DDT30-C03 (H5–H6)2P (PP) [DDT30]2B/3P (+0T @DDT30-C3)DDT30 Row2 Stop (Col3)NextColVsDDT30-C2: 2v2
DDT30-C04 (H7–H8)2B (BB) [DDT30]4B/3P (+0T @DDT30-C4)DDT30 Row2 Stop (Col4)NextColVsDDT30-C3: 2v2
DDT30-C05 (H9–H11)2P (PP) [DDT30]4B/5P (+1T @DDT30-C5)DDT30 Row2 Stop (Col5)NextColVsDDT30-C4: 2v2
DDT30-C06 (H12–H13)2B (BB) [DDT30]6B/5P (+0T @DDT30-C6)DDT30 Row2 Stop (Col6)NextColVsDDT30-C5: 2v2
DDT30-C07 (H14–H15)2P (PP) [DDT30]6B/7P (+0T @DDT30-C7)DDT30 Row2 Stop (Col7)NextColVsDDT30-C6: 2v2
DDT30-C08 (H16–H18)2B (BB) [DDT30]8B/7P (+1T @DDT30-C8)DDT30 Row2 Stop (Col8)NextColVsDDT30-C7: 2v2
DDT30-C09 (H19–H20)2P (PP) [DDT30]8B/9P (+0T @DDT30-C9)DDT30 Row2 Stop (Col9)NextColVsDDT30-C8: 2v2
DDT30-C10 (H21–H22)2B (BB) [DDT30]10B/9P (+0T @DDT30-C10)DDT30 Row2 Stop (Col10)NextColVsDDT30-C9: 2v2
  • DDT30 BEB #8 (RED): verified at DDT30 lookback-1 index 7 (28R/32B total).
  • DDT30 SR #6 (RED): verified at DDT30 lookback-2 index 5 (27R/31B total).
  • DDT30 CP #2 (BLUE): verified at DDT30 lookback-3 index 1 (42R/14B total).
DDT30 DERIVED-ROAD & CUT-CARD PROBE

DDT30 Lookback Split (28R/32B BEB · 27R/31B SR · 42R/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 DDT30, Big Eye Boy prints 28 Red (46.7%) and 32 Blue marks, Small Road prints 27 Red (46.6%) and 31 Blue marks, and Cockroach Pig prints 42 Red (75.0%) and 14 Blue marks.

At the DDT30 cut card after Hand #69, probing Hand #70 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP BLUE and Player → BEB BLUE / SR RED / CP RED for DDT30.

Table Reality Check

Myth vs. Truth

MythThe second bead of each pair in DDT30 marks Blue because the 2-bead column is about to end.
TruthAt Row 2 in DDT30, 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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