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TWIN 2x2 COLUMN SYMMETRY · CATALOG DDT14 (SEED 204314)

Double-Double Twin Shoe DDT14: 79-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DDT14 (seed 204314) captures a repeating 2-bead BB-PP-BB-PP twin columns testing Rule 1 and Rule 2 Case 1 in tandem across 79 dealt 8-deck hands (38 Banker, 35 Player, 6 Tie). Its 35 logical Big Road columns occupy 35 display columns (C1:1P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B) and generate 71 Big Eye Boy marks (31R/40B), 69 Small Road marks (29R/40B), and 67 Cockroach Pig marks (50R/17B).

Verified 8-Deck Hands
79 (DDT14)
Outcome Split
38B / 35P / 6T
Peak Streaks
4B · 4P
Big Road Columns
35 Cols
Engine-Verified Scoreboard · 79 Hands

Read the Board at Table Speed

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

DDT14 (seed 204314): 79 hands (38B / 35P / 6T), 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)
DDT14 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.

DDT14 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.

DDT14 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

DDT14 8-Deck Hand Distribution
79 Hands (38 Banker / 35 Player / 6 Tie)

Seed 204314 opening column signature: C1:1P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B.

DDT14 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.

DDT14 Big Eye Boy Rule Breakdown
71 Marks (31R / 40B · 43.7% Red across 36 Display Cols)

Rule 1: 33 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 38.

DDT14 Small Road & Cockroach Pig Tally
SR: 29R/40B (42.0% Red) · CP: 50R/17B (74.6% 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.

DDT14 Hand #80 Next-Hand Probe
If B → BEB red, SR blue, CP blue | If P → BEB blue, SR red, CP red

Computed by getNextRoadPredictions() after Hand #79 of DDT14.

DDT14 COLUMN GEOMETRY (DOUBLE-DOUBLE-TWIN)

DDT14 Scoreboard Structure: C1:1P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B

In catalog shoe DDT14 (seed 204314), 79 total hands resolve into 38 Banker wins, 35 Player wins, and 6 Ties across 35 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 DDT14 column by column shows peak runs of 4B and 4P spreading across 35 Big Road display columns: DDT14 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 38 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DDT14 (Seed 204314)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DDT14-C01 (H1–H1)1P (P) [DDT14]0B/1P (+0T @DDT14-C1)DDT14 Row1 Stop (Col1)NextColVsDDT14-C1: 1v1
DDT14-C02 (H2–H4)2B (BB) [DDT14]2B/1P (+1T @DDT14-C2)DDT14 Row2 Stop (Col2)NextColVsDDT14-C1: 2v1
DDT14-C03 (H5–H6)2P (PP) [DDT14]2B/3P (+0T @DDT14-C3)DDT14 Row2 Stop (Col3)NextColVsDDT14-C2: 2v2
DDT14-C04 (H7–H8)2B (BB) [DDT14]4B/3P (+0T @DDT14-C4)DDT14 Row2 Stop (Col4)NextColVsDDT14-C3: 2v2
DDT14-C05 (H9–H10)2P (PP) [DDT14]4B/5P (+0T @DDT14-C5)DDT14 Row2 Stop (Col5)NextColVsDDT14-C4: 2v2
DDT14-C06 (H11–H12)2B (BB) [DDT14]6B/5P (+0T @DDT14-C6)DDT14 Row2 Stop (Col6)NextColVsDDT14-C5: 2v2
DDT14-C07 (H13–H15)2P (PP) [DDT14]6B/7P (+1T @DDT14-C7)DDT14 Row2 Stop (Col7)NextColVsDDT14-C6: 2v2
DDT14-C08 (H16–H17)2B (BB) [DDT14]8B/7P (+0T @DDT14-C8)DDT14 Row2 Stop (Col8)NextColVsDDT14-C7: 2v2
DDT14-C09 (H18–H19)2P (PP) [DDT14]8B/9P (+0T @DDT14-C9)DDT14 Row2 Stop (Col9)NextColVsDDT14-C8: 2v2
DDT14-C10 (H20–H20)1B (B) [DDT14]9B/9P (+0T @DDT14-C10)DDT14 Row1 Stop (Col10)NextColVsDDT14-C9: 1v2
  • DDT14 BEB #4 (RED): verified at DDT14 lookback-1 index 3 (31R/40B total).
  • DDT14 SR #5 (RED): verified at DDT14 lookback-2 index 4 (29R/40B total).
  • DDT14 CP #2 (BLUE): verified at DDT14 lookback-3 index 1 (50R/17B total).
DDT14 DERIVED-ROAD & CUT-CARD PROBE

DDT14 Lookback Split (31R/40B BEB · 29R/40B SR · 50R/17B 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 DDT14, Big Eye Boy prints 31 Red (43.7%) and 40 Blue marks, Small Road prints 29 Red (42.0%) and 40 Blue marks, and Cockroach Pig prints 50 Red (74.6%) and 17 Blue marks.

At the DDT14 cut card after Hand #79, probing Hand #80 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP BLUE and Player → BEB BLUE / SR RED / CP RED for DDT14.

Table Reality Check

Myth vs. Truth

MythThe second bead of each pair in DDT14 marks Blue because the 2-bead column is about to end.
TruthAt Row 2 in DDT14, 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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