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TWIN 2x2 COLUMN SYMMETRY · CATALOG DDT21 (SEED 204321)

Double-Double Twin Shoe DDT21: 78-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DDT21 (seed 204321) captures a repeating 2-bead BB-PP-BB-PP twin columns testing Rule 1 and Rule 2 Case 1 in tandem across 78 dealt 8-deck hands (36 Banker, 34 Player, 8 Tie). Its 32 logical Big Road columns occupy 32 display columns (C1:2B · C2:2P · C3:2B · C4:2P · C5:2B · C6:2P · C7:4B · C8:1P) and generate 67 Big Eye Boy marks (26R/41B), 65 Small Road marks (29R/36B), and 63 Cockroach Pig marks (49R/14B).

Verified 8-Deck Hands
78 (DDT21)
Outcome Split
36B / 34P / 8T
Peak Streaks
4B · 4P
Big Road Columns
32 Cols
Engine-Verified Scoreboard · 78 Hands

Read the Board at Table Speed

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

DDT21 (seed 204321): 78 hands (36B / 34P / 8T), 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)
DDT21 Big Eye Boy Entry #5

This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 1 column back, at Column 3.
  2. Column 3 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 3 stopped exactly one row above this bead.

DDT21 Small Road Entry #2

Column 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 1, 2 columns further back.
  2. Column 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

DDT21 Cockroach Pig Entry #1

This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 1.
  2. Column 1 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 1 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

DDT21 8-Deck Hand Distribution
78 Hands (36 Banker / 34 Player / 8 Tie)

Seed 204321 opening column signature: C1:2B · C2:2P · C3:2B · C4:2P · C5:2B · C6:2P · C7:4B · C8:1P.

DDT21 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.

DDT21 Big Eye Boy Rule Breakdown
67 Marks (26R / 41B · 38.8% Red across 31 Display Cols)

Rule 1: 30 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 37.

DDT21 Small Road & Cockroach Pig Tally
SR: 29R/36B (44.6% Red) · CP: 49R/14B (77.8% 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.

DDT21 Hand #79 Next-Hand Probe
If B → BEB blue, SR blue, CP blue | If P → BEB red, SR red, CP red

Computed by getNextRoadPredictions() after Hand #78 of DDT21.

DDT21 COLUMN GEOMETRY (DOUBLE-DOUBLE-TWIN)

DDT21 Scoreboard Structure: C1:2B · C2:2P · C3:2B · C4:2P · C5:2B · C6:2P · C7:4B · C8:1P

In catalog shoe DDT21 (seed 204321), 78 total hands resolve into 36 Banker wins, 34 Player wins, and 8 Ties across 32 logical columns (C1:2B · C2:2P · C3:2B · C4:2P · C5:2B · C6:2P · C7:4B · C8:1P). 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 DDT21 column by column shows peak runs of 4B and 4P spreading across 32 Big Road display columns: DDT21 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 37 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DDT21 (Seed 204321)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DDT21-C01 (H1–H2)2B (BB) [DDT21]2B/0P (+0T @DDT21-C1)DDT21 Row2 Stop (Col1)NextColVsDDT21-C1: 2v2
DDT21-C02 (H3–H4)2P (PP) [DDT21]2B/2P (+0T @DDT21-C2)DDT21 Row2 Stop (Col2)NextColVsDDT21-C1: 2v2
DDT21-C03 (H5–H7)2B (BB) [DDT21]4B/2P (+1T @DDT21-C3)DDT21 Row2 Stop (Col3)NextColVsDDT21-C2: 2v2
DDT21-C04 (H8–H9)2P (PP) [DDT21]4B/4P (+0T @DDT21-C4)DDT21 Row2 Stop (Col4)NextColVsDDT21-C3: 2v2
DDT21-C05 (H10–H11)2B (BB) [DDT21]6B/4P (+0T @DDT21-C5)DDT21 Row2 Stop (Col5)NextColVsDDT21-C4: 2v2
DDT21-C06 (H12–H13)2P (PP) [DDT21]6B/6P (+0T @DDT21-C6)DDT21 Row2 Stop (Col6)NextColVsDDT21-C5: 2v2
DDT21-C07 (H14–H18)4B (BBBB) [DDT21]10B/6P (+1T @DDT21-C7)DDT21 Row4 Stop (Col7)NextColVsDDT21-C6: 4v2
DDT21-C08 (H19–H19)1P (P) [DDT21]10B/7P (+0T @DDT21-C8)DDT21 Row1 Stop (Col8)NextColVsDDT21-C7: 1v4
DDT21-C09 (H20–H21)2B (BB) [DDT21]12B/7P (+0T @DDT21-C9)DDT21 Row2 Stop (Col9)NextColVsDDT21-C8: 2v1
DDT21-C10 (H22–H25)3P (PPP) [DDT21]12B/10P (+1T @DDT21-C10)DDT21 Row3 Stop (Col10)NextColVsDDT21-C9: 3v2
  • DDT21 BEB #5 (RED): verified at DDT21 lookback-1 index 4 (26R/41B total).
  • DDT21 SR #2 (RED): verified at DDT21 lookback-2 index 1 (29R/36B total).
  • DDT21 CP #1 (RED): verified at DDT21 lookback-3 index 0 (49R/14B total).
DDT21 DERIVED-ROAD & CUT-CARD PROBE

DDT21 Lookback Split (26R/41B BEB · 29R/36B SR · 49R/14B 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 DDT21, Big Eye Boy prints 26 Red (38.8%) and 41 Blue marks, Small Road prints 29 Red (44.6%) and 36 Blue marks, and Cockroach Pig prints 49 Red (77.8%) and 14 Blue marks.

At the DDT21 cut card after Hand #78, probing Hand #79 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP BLUE and Player → BEB RED / SR RED / CP RED for DDT21.

Table Reality Check

Myth vs. Truth

MythThe second bead of each pair in DDT21 marks Blue because the 2-bead column is about to end.
TruthAt Row 2 in DDT21, 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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