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TWIN 2x2 COLUMN SYMMETRY · CATALOG DDT22 (SEED 204322)

Double-Double Twin Shoe DDT22: 65-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DDT22 (seed 204322) captures a repeating 2-bead BB-PP-BB-PP twin columns testing Rule 1 and Rule 2 Case 1 in tandem across 65 dealt 8-deck hands (29 Banker, 32 Player, 4 Tie). Its 28 logical Big Road columns occupy 28 display columns (C1:4P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B) and generate 56 Big Eye Boy marks (25R/31B), 54 Small Road marks (25R/29B), and 52 Cockroach Pig marks (39R/13B).

Verified 8-Deck Hands
65 (DDT22)
Outcome Split
29B / 32P / 4T
Peak Streaks
4B · 4P
Big Road Columns
28 Cols
Engine-Verified Scoreboard · 65 Hands

Read the Board at Table Speed

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

DDT22 (seed 204322): 65 hands (29B / 32P / 4T), 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)
DDT22 Big Eye Boy Entry #6

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.

DDT22 Small Road Entry #3

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

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

DDT22 Cockroach Pig Entry #2

Column 4 has 2 beads. Column 1 has 4 beads. 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 4 beads. 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

DDT22 8-Deck Hand Distribution
65 Hands (29 Banker / 32 Player / 4 Tie)

Seed 204322 opening column signature: C1:4P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B.

DDT22 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.

DDT22 Big Eye Boy Rule Breakdown
56 Marks (25R / 31B · 44.6% Red across 25 Display Cols)

Rule 1: 26 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 30.

DDT22 Small Road & Cockroach Pig Tally
SR: 25R/29B (46.3% Red) · CP: 39R/13B (75.0% 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.

DDT22 Hand #66 Next-Hand Probe
If B → BEB blue, SR red, CP red | If P → BEB red, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #65 of DDT22.

DDT22 COLUMN GEOMETRY (DOUBLE-DOUBLE-TWIN)

DDT22 Scoreboard Structure: C1:4P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B

In catalog shoe DDT22 (seed 204322), 65 total hands resolve into 29 Banker wins, 32 Player wins, and 4 Ties across 28 logical columns (C1:4P · 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 DDT22 column by column shows peak runs of 4B and 4P spreading across 28 Big Road display columns: DDT22 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 30 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DDT22 (Seed 204322)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DDT22-C01 (H1–H4)4P (PPPP) [DDT22]0B/4P (+0T @DDT22-C1)DDT22 Row4 Stop (Col1)NextColVsDDT22-C1: 4v4
DDT22-C02 (H5–H6)2B (BB) [DDT22]2B/4P (+0T @DDT22-C2)DDT22 Row2 Stop (Col2)NextColVsDDT22-C1: 2v4
DDT22-C03 (H7–H8)2P (PP) [DDT22]2B/6P (+0T @DDT22-C3)DDT22 Row2 Stop (Col3)NextColVsDDT22-C2: 2v2
DDT22-C04 (H9–H11)2B (BB) [DDT22]4B/6P (+1T @DDT22-C4)DDT22 Row2 Stop (Col4)NextColVsDDT22-C3: 2v2
DDT22-C05 (H12–H13)2P (PP) [DDT22]4B/8P (+0T @DDT22-C5)DDT22 Row2 Stop (Col5)NextColVsDDT22-C4: 2v2
DDT22-C06 (H14–H15)2B (BB) [DDT22]6B/8P (+0T @DDT22-C6)DDT22 Row2 Stop (Col6)NextColVsDDT22-C5: 2v2
DDT22-C07 (H16–H17)2P (PP) [DDT22]6B/10P (+0T @DDT22-C7)DDT22 Row2 Stop (Col7)NextColVsDDT22-C6: 2v2
DDT22-C08 (H18–H19)2B (BB) [DDT22]8B/10P (+0T @DDT22-C8)DDT22 Row2 Stop (Col8)NextColVsDDT22-C7: 2v2
DDT22-C09 (H20–H23)3P (PPP) [DDT22]8B/13P (+1T @DDT22-C9)DDT22 Row3 Stop (Col9)NextColVsDDT22-C8: 3v2
DDT22-C10 (H24–H24)1B (B) [DDT22]9B/13P (+0T @DDT22-C10)DDT22 Row1 Stop (Col10)NextColVsDDT22-C9: 1v3
  • DDT22 BEB #6 (RED): verified at DDT22 lookback-1 index 5 (25R/31B total).
  • DDT22 SR #3 (RED): verified at DDT22 lookback-2 index 2 (25R/29B total).
  • DDT22 CP #2 (BLUE): verified at DDT22 lookback-3 index 1 (39R/13B total).
DDT22 DERIVED-ROAD & CUT-CARD PROBE

DDT22 Lookback Split (25R/31B BEB · 25R/29B SR · 39R/13B 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 DDT22, Big Eye Boy prints 25 Red (44.6%) and 31 Blue marks, Small Road prints 25 Red (46.3%) and 29 Blue marks, and Cockroach Pig prints 39 Red (75.0%) and 13 Blue marks.

At the DDT22 cut card after Hand #65, probing Hand #66 via getNextRoadPredictions() yields Banker → BEB BLUE / SR RED / CP RED and Player → BEB RED / SR BLUE / CP BLUE for DDT22.

Table Reality Check

Myth vs. Truth

MythThe second bead of each pair in DDT22 marks Blue because the 2-bead column is about to end.
TruthAt Row 2 in DDT22, 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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