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TWIN 2x2 COLUMN SYMMETRY · CATALOG DDT23 (SEED 204323)

Double-Double Twin Shoe DDT23: 70-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DDT23 (seed 204323) captures a repeating 2-bead BB-PP-BB-PP twin columns testing Rule 1 and Rule 2 Case 1 in tandem across 70 dealt 8-deck hands (33 Banker, 32 Player, 5 Tie). Its 32 logical Big Road columns occupy 32 display columns (C1:1B · C2:1P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:2P) and generate 63 Big Eye Boy marks (28R/35B), 62 Small Road marks (28R/34B), and 60 Cockroach Pig marks (42R/18B).

Verified 8-Deck Hands
70 (DDT23)
Outcome Split
33B / 32P / 5T
Peak Streaks
4B · 4P
Big Road Columns
32 Cols
Engine-Verified Scoreboard · 70 Hands

Read the Board at Table Speed

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

DDT23 (seed 204323): 70 hands (33B / 32P / 5T), peak streaks 4B & 4P across 32 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)
DDT23 Big Eye Boy Entry #7

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.

DDT23 Small Road Entry #4

Column 4 has 2 beads. Column 2 has 1 bead. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 2 beads. Column 2 has 1 bead. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

DDT23 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

DDT23 8-Deck Hand Distribution
70 Hands (33 Banker / 32 Player / 5 Tie)

Seed 204323 opening column signature: C1:1B · C2:1P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:2P.

DDT23 Big Road Span & Max Streaks
Max 4B / Max 4P Across 32 Logical Cols (32 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.

DDT23 Big Eye Boy Rule Breakdown
63 Marks (28R / 35B · 44.4% Red across 28 Display Cols)

Rule 1: 30 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 33.

DDT23 Small Road & Cockroach Pig Tally
SR: 28R/34B (45.2% Red) · CP: 42R/18B (70.0% 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.

DDT23 Hand #71 Next-Hand Probe
If B → BEB red, SR blue, CP blue | If P → BEB blue, SR red, CP red

Computed by getNextRoadPredictions() after Hand #70 of DDT23.

DDT23 COLUMN GEOMETRY (DOUBLE-DOUBLE-TWIN)

DDT23 Scoreboard Structure: C1:1B · C2:1P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:2P

In catalog shoe DDT23 (seed 204323), 70 total hands resolve into 33 Banker wins, 32 Player wins, and 5 Ties across 32 logical columns (C1:1B · 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 DDT23 column by column shows peak runs of 4B and 4P spreading across 32 Big Road display columns: DDT23 records 30 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 DDT23 (Seed 204323)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DDT23-C01 (H1–H1)1B (B) [DDT23]1B/0P (+0T @DDT23-C1)DDT23 Row1 Stop (Col1)NextColVsDDT23-C1: 1v1
DDT23-C02 (H2–H3)1P (P) [DDT23]1B/1P (+1T @DDT23-C2)DDT23 Row1 Stop (Col2)NextColVsDDT23-C1: 1v1
DDT23-C03 (H4–H5)2B (BB) [DDT23]3B/1P (+0T @DDT23-C3)DDT23 Row2 Stop (Col3)NextColVsDDT23-C2: 2v1
DDT23-C04 (H6–H7)2P (PP) [DDT23]3B/3P (+0T @DDT23-C4)DDT23 Row2 Stop (Col4)NextColVsDDT23-C3: 2v2
DDT23-C05 (H8–H9)2B (BB) [DDT23]5B/3P (+0T @DDT23-C5)DDT23 Row2 Stop (Col5)NextColVsDDT23-C4: 2v2
DDT23-C06 (H10–H11)2P (PP) [DDT23]5B/5P (+0T @DDT23-C6)DDT23 Row2 Stop (Col6)NextColVsDDT23-C5: 2v2
DDT23-C07 (H12–H14)2B (BB) [DDT23]7B/5P (+1T @DDT23-C7)DDT23 Row2 Stop (Col7)NextColVsDDT23-C6: 2v2
DDT23-C08 (H15–H16)2P (PP) [DDT23]7B/7P (+0T @DDT23-C8)DDT23 Row2 Stop (Col8)NextColVsDDT23-C7: 2v2
DDT23-C09 (H17–H18)2B (BB) [DDT23]9B/7P (+0T @DDT23-C9)DDT23 Row2 Stop (Col9)NextColVsDDT23-C8: 2v2
DDT23-C10 (H19–H20)2P (PP) [DDT23]9B/9P (+0T @DDT23-C10)DDT23 Row2 Stop (Col10)NextColVsDDT23-C9: 2v2
  • DDT23 BEB #7 (RED): verified at DDT23 lookback-1 index 6 (28R/35B total).
  • DDT23 SR #4 (BLUE): verified at DDT23 lookback-2 index 3 (28R/34B total).
  • DDT23 CP #3 (BLUE): verified at DDT23 lookback-3 index 2 (42R/18B total).
DDT23 DERIVED-ROAD & CUT-CARD PROBE

DDT23 Lookback Split (28R/35B BEB · 28R/34B SR · 42R/18B 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 DDT23, Big Eye Boy prints 28 Red (44.4%) and 35 Blue marks, Small Road prints 28 Red (45.2%) and 34 Blue marks, and Cockroach Pig prints 42 Red (70.0%) and 18 Blue marks.

At the DDT23 cut card after Hand #70, probing Hand #71 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP BLUE and Player → BEB BLUE / SR RED / CP RED for DDT23.

Table Reality Check

Myth vs. Truth

MythThe second bead of each pair in DDT23 marks Blue because the 2-bead column is about to end.
TruthAt Row 2 in DDT23, 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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