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TWIN 2x2 COLUMN SYMMETRY · CATALOG DDT27 (SEED 204327)

Double-Double Twin Shoe DDT27: 72-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DDT27 (seed 204327) captures a repeating 2-bead BB-PP-BB-PP twin columns testing Rule 1 and Rule 2 Case 1 in tandem across 72 dealt 8-deck hands (35 Banker, 33 Player, 4 Tie). Its 33 logical Big Road columns occupy 33 display columns (C1:3B · C2:1P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:2P) and generate 64 Big Eye Boy marks (23R/41B), 63 Small Road marks (27R/36B), and 61 Cockroach Pig marks (46R/15B).

Verified 8-Deck Hands
72 (DDT27)
Outcome Split
35B / 33P / 4T
Peak Streaks
4B · 4P
Big Road Columns
33 Cols
Engine-Verified Scoreboard · 72 Hands

Read the Board at Table Speed

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

DDT27 (seed 204327): 72 hands (35B / 33P / 4T), peak streaks 4B & 4P across 33 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)
DDT27 Big Eye Boy Entry #5

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.

DDT27 Small Road Entry #3

This bead is at Row 2. Column 2 stopped at Row 1, one row above → blue (≠).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 stopped at Row 1, 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.

DDT27 Cockroach Pig Entry #3

This bead is at Row 2. Column 2 stopped at Row 1, one row above → blue (≠).

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 stopped at Row 1, 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.

Verified Reference Data

Key Facts & Table Specifications

DDT27 8-Deck Hand Distribution
72 Hands (35 Banker / 33 Player / 4 Tie)

Seed 204327 opening column signature: C1:3B · C2:1P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:2P.

DDT27 Big Road Span & Max Streaks
Max 4B / Max 4P Across 33 Logical Cols (33 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.

DDT27 Big Eye Boy Rule Breakdown
64 Marks (23R / 41B · 35.9% Red across 28 Display Cols)

Rule 1: 31 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 33.

DDT27 Small Road & Cockroach Pig Tally
SR: 27R/36B (42.9% Red) · CP: 46R/15B (75.4% 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.

DDT27 Hand #73 Next-Hand Probe
If B → BEB blue, SR red, CP red | If P → BEB red, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #72 of DDT27.

DDT27 COLUMN GEOMETRY (DOUBLE-DOUBLE-TWIN)

DDT27 Scoreboard Structure: C1:3B · C2:1P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:2P

In catalog shoe DDT27 (seed 204327), 72 total hands resolve into 35 Banker wins, 33 Player wins, and 4 Ties across 33 logical columns (C1:3B · C2:1P · 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 DDT27 column by column shows peak runs of 4B and 4P spreading across 33 Big Road display columns: DDT27 records 31 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 DDT27 (Seed 204327)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DDT27-C01 (H1–H3)3B (BBB) [DDT27]3B/0P (+0T @DDT27-C1)DDT27 Row3 Stop (Col1)NextColVsDDT27-C1: 3v3
DDT27-C02 (H4–H4)1P (P) [DDT27]3B/1P (+0T @DDT27-C2)DDT27 Row1 Stop (Col2)NextColVsDDT27-C1: 1v3
DDT27-C03 (H5–H6)2B (BB) [DDT27]5B/1P (+0T @DDT27-C3)DDT27 Row2 Stop (Col3)NextColVsDDT27-C2: 2v1
DDT27-C04 (H7–H8)2P (PP) [DDT27]5B/3P (+0T @DDT27-C4)DDT27 Row2 Stop (Col4)NextColVsDDT27-C3: 2v2
DDT27-C05 (H9–H10)2B (BB) [DDT27]7B/3P (+0T @DDT27-C5)DDT27 Row2 Stop (Col5)NextColVsDDT27-C4: 2v2
DDT27-C06 (H11–H12)2P (PP) [DDT27]7B/5P (+0T @DDT27-C6)DDT27 Row2 Stop (Col6)NextColVsDDT27-C5: 2v2
DDT27-C07 (H13–H15)2B (BB) [DDT27]9B/5P (+1T @DDT27-C7)DDT27 Row2 Stop (Col7)NextColVsDDT27-C6: 2v2
DDT27-C08 (H16–H17)2P (PP) [DDT27]9B/7P (+0T @DDT27-C8)DDT27 Row2 Stop (Col8)NextColVsDDT27-C7: 2v2
DDT27-C09 (H18–H18)1B (B) [DDT27]10B/7P (+0T @DDT27-C9)DDT27 Row1 Stop (Col9)NextColVsDDT27-C8: 1v2
DDT27-C10 (H19–H20)2P (PP) [DDT27]10B/9P (+0T @DDT27-C10)DDT27 Row2 Stop (Col10)NextColVsDDT27-C9: 2v1
  • DDT27 BEB #5 (RED): verified at DDT27 lookback-1 index 4 (23R/41B total).
  • DDT27 SR #3 (BLUE): verified at DDT27 lookback-2 index 2 (27R/36B total).
  • DDT27 CP #3 (BLUE): verified at DDT27 lookback-3 index 2 (46R/15B total).
DDT27 DERIVED-ROAD & CUT-CARD PROBE

DDT27 Lookback Split (23R/41B BEB · 27R/36B SR · 46R/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 DDT27, Big Eye Boy prints 23 Red (35.9%) and 41 Blue marks, Small Road prints 27 Red (42.9%) and 36 Blue marks, and Cockroach Pig prints 46 Red (75.4%) and 15 Blue marks.

At the DDT27 cut card after Hand #72, probing Hand #73 via getNextRoadPredictions() yields Banker → BEB BLUE / SR RED / CP RED and Player → BEB RED / SR BLUE / CP BLUE for DDT27.

Table Reality Check

Myth vs. Truth

MythThe second bead of each pair in DDT27 marks Blue because the 2-bead column is about to end.
TruthAt Row 2 in DDT27, 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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