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TWIN 2x2 COLUMN SYMMETRY · CATALOG DDT16 (SEED 204316)

Double-Double Twin Shoe DDT16: 71-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DDT16 (seed 204316) 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 (28 Banker, 35 Player, 8 Tie). Its 28 logical Big Road columns occupy 28 display columns (C1:3P · C2:3B · C3:4P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B) and generate 59 Big Eye Boy marks (26R/33B), 56 Small Road marks (25R/31B), and 52 Cockroach Pig marks (37R/15B).

Verified 8-Deck Hands
71 (DDT16)
Outcome Split
28B / 35P / 8T
Peak Streaks
4B · 4P
Big Road Columns
28 Cols
Engine-Verified Scoreboard · 71 Hands

Read the Board at Table Speed

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

DDT16 (seed 204316): 71 hands (28B / 35P / 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)
DDT16 Big Eye Boy Entry #6

This bead is at Row 4. Column 2 stopped at Row 3, one row above → blue (≠).

  1. Column 3 goes down to Row 4, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 stopped at Row 3, one row above → blue (≠).

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.

DDT16 Small Road Entry #2

This bead is at Row 3. Column 1 has a bead at Row 3 too → red (=).

  1. Column 3 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 has a bead at Row 3 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.

DDT16 Cockroach Pig Entry #4

Column 5 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

DDT16 8-Deck Hand Distribution
71 Hands (28 Banker / 35 Player / 8 Tie)

Seed 204316 opening column signature: C1:3P · C2:3B · C3:4P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B.

DDT16 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.

DDT16 Big Eye Boy Rule Breakdown
59 Marks (26R / 33B · 44.1% Red across 28 Display Cols)

Rule 1: 26 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 33.

DDT16 Small Road & Cockroach Pig Tally
SR: 25R/31B (44.6% Red) · CP: 37R/15B (71.2% 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.

DDT16 Hand #72 Next-Hand Probe
If B → BEB red, SR blue, CP red | If P → BEB blue, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #71 of DDT16.

DDT16 COLUMN GEOMETRY (DOUBLE-DOUBLE-TWIN)

DDT16 Scoreboard Structure: C1:3P · C2:3B · C3:4P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B

In catalog shoe DDT16 (seed 204316), 71 total hands resolve into 28 Banker wins, 35 Player wins, and 8 Ties across 28 logical columns (C1:3P · C2:3B · C3:4P · 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 DDT16 column by column shows peak runs of 4B and 4P spreading across 28 Big Road display columns: DDT16 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 33 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DDT16 (Seed 204316)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DDT16-C01 (H1–H4)3P (PPP) [DDT16]0B/3P (+1T @DDT16-C1)DDT16 Row3 Stop (Col1)NextColVsDDT16-C1: 3v3
DDT16-C02 (H5–H7)3B (BBB) [DDT16]3B/3P (+0T @DDT16-C2)DDT16 Row3 Stop (Col2)NextColVsDDT16-C1: 3v3
DDT16-C03 (H8–H12)4P (PPPP) [DDT16]3B/7P (+1T @DDT16-C3)DDT16 Row4 Stop (Col3)NextColVsDDT16-C2: 4v3
DDT16-C04 (H13–H14)2B (BB) [DDT16]5B/7P (+0T @DDT16-C4)DDT16 Row2 Stop (Col4)NextColVsDDT16-C3: 2v4
DDT16-C05 (H15–H16)2P (PP) [DDT16]5B/9P (+0T @DDT16-C5)DDT16 Row2 Stop (Col5)NextColVsDDT16-C4: 2v2
DDT16-C06 (H17–H19)2B (BB) [DDT16]7B/9P (+1T @DDT16-C6)DDT16 Row2 Stop (Col6)NextColVsDDT16-C5: 2v2
DDT16-C07 (H20–H21)2P (PP) [DDT16]7B/11P (+0T @DDT16-C7)DDT16 Row2 Stop (Col7)NextColVsDDT16-C6: 2v2
DDT16-C08 (H22–H23)2B (BB) [DDT16]9B/11P (+0T @DDT16-C8)DDT16 Row2 Stop (Col8)NextColVsDDT16-C7: 2v2
DDT16-C09 (H24–H28)4P (PPPP) [DDT16]9B/15P (+1T @DDT16-C9)DDT16 Row4 Stop (Col9)NextColVsDDT16-C8: 4v2
DDT16-C10 (H29–H29)1B (B) [DDT16]10B/15P (+0T @DDT16-C10)DDT16 Row1 Stop (Col10)NextColVsDDT16-C9: 1v4
  • DDT16 BEB #6 (BLUE): verified at DDT16 lookback-1 index 5 (26R/33B total).
  • DDT16 SR #2 (RED): verified at DDT16 lookback-2 index 1 (25R/31B total).
  • DDT16 CP #4 (BLUE): verified at DDT16 lookback-3 index 3 (37R/15B total).
DDT16 DERIVED-ROAD & CUT-CARD PROBE

DDT16 Lookback Split (26R/33B BEB · 25R/31B SR · 37R/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 DDT16, Big Eye Boy prints 26 Red (44.1%) and 33 Blue marks, Small Road prints 25 Red (44.6%) and 31 Blue marks, and Cockroach Pig prints 37 Red (71.2%) and 15 Blue marks.

At the DDT16 cut card after Hand #71, probing Hand #72 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP RED and Player → BEB BLUE / SR RED / CP BLUE for DDT16.

Table Reality Check

Myth vs. Truth

MythThe second bead of each pair in DDT16 marks Blue because the 2-bead column is about to end.
TruthAt Row 2 in DDT16, 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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