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TWIN 2x2 COLUMN SYMMETRY · CATALOG DDT20 (SEED 204320)

Double-Double Twin Shoe DDT20: 73-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DDT20 (seed 204320) captures a repeating 2-bead BB-PP-BB-PP twin columns testing Rule 1 and Rule 2 Case 1 in tandem across 73 dealt 8-deck hands (31 Banker, 35 Player, 7 Tie). Its 33 logical Big Road columns occupy 33 display columns (C1:1P · C2:1B · C3:1P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B) and generate 64 Big Eye Boy marks (33R/31B), 63 Small Road marks (31R/32B), and 62 Cockroach Pig marks (43R/19B).

Verified 8-Deck Hands
73 (DDT20)
Outcome Split
31B / 35P / 7T
Peak Streaks
4B · 4P
Big Road Columns
33 Cols
Engine-Verified Scoreboard · 73 Hands

Read the Board at Table Speed

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

DDT20 (seed 204320): 73 hands (31B / 35P / 7T), 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)
DDT20 Big Eye Boy Entry #4

Column 4 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).

  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 1 bead. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 3.

DDT20 Small Road Entry #6

This bead is at Row 2. Column 4 has a bead at Row 2 too → red (=).

  1. Column 6 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 4.
  2. Column 4 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 4 stopped exactly one row above this bead.

DDT20 Cockroach Pig Entry #4

Column 5 has 2 beads. Column 2 has 1 bead. 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 1 bead. 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

DDT20 8-Deck Hand Distribution
73 Hands (31 Banker / 35 Player / 7 Tie)

Seed 204320 opening column signature: C1:1P · C2:1B · C3:1P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B.

DDT20 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.

DDT20 Big Eye Boy Rule Breakdown
64 Marks (33R / 31B · 51.6% Red across 29 Display Cols)

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

DDT20 Small Road & Cockroach Pig Tally
SR: 31R/32B (49.2% Red) · CP: 43R/19B (69.4% 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.

DDT20 Hand #74 Next-Hand Probe
If B → BEB red, SR blue, CP blue | If P → BEB blue, SR red, CP red

Computed by getNextRoadPredictions() after Hand #73 of DDT20.

DDT20 COLUMN GEOMETRY (DOUBLE-DOUBLE-TWIN)

DDT20 Scoreboard Structure: C1:1P · C2:1B · C3:1P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B

In catalog shoe DDT20 (seed 204320), 73 total hands resolve into 31 Banker wins, 35 Player wins, and 7 Ties across 33 logical columns (C1:1P · C2:1B · C3:1P · 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 DDT20 column by column shows peak runs of 4B and 4P spreading across 33 Big Road display columns: DDT20 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 DDT20 (Seed 204320)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DDT20-C01 (H1–H1)1P (P) [DDT20]0B/1P (+0T @DDT20-C1)DDT20 Row1 Stop (Col1)NextColVsDDT20-C1: 1v1
DDT20-C02 (H2–H2)1B (B) [DDT20]1B/1P (+0T @DDT20-C2)DDT20 Row1 Stop (Col2)NextColVsDDT20-C1: 1v1
DDT20-C03 (H3–H4)1P (P) [DDT20]1B/2P (+1T @DDT20-C3)DDT20 Row1 Stop (Col3)NextColVsDDT20-C2: 1v1
DDT20-C04 (H5–H6)2B (BB) [DDT20]3B/2P (+0T @DDT20-C4)DDT20 Row2 Stop (Col4)NextColVsDDT20-C3: 2v1
DDT20-C05 (H7–H8)2P (PP) [DDT20]3B/4P (+0T @DDT20-C5)DDT20 Row2 Stop (Col5)NextColVsDDT20-C4: 2v2
DDT20-C06 (H9–H10)2B (BB) [DDT20]5B/4P (+0T @DDT20-C6)DDT20 Row2 Stop (Col6)NextColVsDDT20-C5: 2v2
DDT20-C07 (H11–H13)2P (PP) [DDT20]5B/6P (+1T @DDT20-C7)DDT20 Row2 Stop (Col7)NextColVsDDT20-C6: 2v2
DDT20-C08 (H14–H15)2B (BB) [DDT20]7B/6P (+0T @DDT20-C8)DDT20 Row2 Stop (Col8)NextColVsDDT20-C7: 2v2
DDT20-C09 (H16–H17)2P (PP) [DDT20]7B/8P (+0T @DDT20-C9)DDT20 Row2 Stop (Col9)NextColVsDDT20-C8: 2v2
DDT20-C10 (H18–H19)2B (BB) [DDT20]9B/8P (+0T @DDT20-C10)DDT20 Row2 Stop (Col10)NextColVsDDT20-C9: 2v2
  • DDT20 BEB #4 (BLUE): verified at DDT20 lookback-1 index 3 (33R/31B total).
  • DDT20 SR #6 (RED): verified at DDT20 lookback-2 index 5 (31R/32B total).
  • DDT20 CP #4 (BLUE): verified at DDT20 lookback-3 index 3 (43R/19B total).
DDT20 DERIVED-ROAD & CUT-CARD PROBE

DDT20 Lookback Split (33R/31B BEB · 31R/32B SR · 43R/19B 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 DDT20, Big Eye Boy prints 33 Red (51.6%) and 31 Blue marks, Small Road prints 31 Red (49.2%) and 32 Blue marks, and Cockroach Pig prints 43 Red (69.4%) and 19 Blue marks.

At the DDT20 cut card after Hand #73, probing Hand #74 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP BLUE and Player → BEB BLUE / SR RED / CP RED for DDT20.

Table Reality Check

Myth vs. Truth

MythThe second bead of each pair in DDT20 marks Blue because the 2-bead column is about to end.
TruthAt Row 2 in DDT20, 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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