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TWIN 2x2 COLUMN SYMMETRY · CATALOG DDT28 (SEED 204328)

Double-Double Twin Shoe DDT28: 77-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DDT28 (seed 204328) captures a repeating 2-bead BB-PP-BB-PP twin columns testing Rule 1 and Rule 2 Case 1 in tandem across 77 dealt 8-deck hands (37 Banker, 35 Player, 5 Tie). Its 34 logical Big Road columns occupy 34 display columns (C1:2P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B) and generate 69 Big Eye Boy marks (32R/37B), 67 Small Road marks (36R/31B), and 65 Cockroach Pig marks (50R/15B).

Verified 8-Deck Hands
77 (DDT28)
Outcome Split
37B / 35P / 5T
Peak Streaks
4B · 4P
Big Road Columns
34 Cols
Engine-Verified Scoreboard · 77 Hands

Read the Board at Table Speed

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

DDT28 (seed 204328): 77 hands (37B / 35P / 5T), peak streaks 4B & 4P across 34 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)
DDT28 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.

DDT28 Small Road Entry #4

Column 4 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

  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 2 beads. Same depth → red (=).

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

DDT28 Cockroach Pig Entry #4

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

  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 2 beads. Same depth → red (=).

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

DDT28 8-Deck Hand Distribution
77 Hands (37 Banker / 35 Player / 5 Tie)

Seed 204328 opening column signature: C1:2P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B.

DDT28 Big Road Span & Max Streaks
Max 4B / Max 4P Across 34 Logical Cols (34 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.

DDT28 Big Eye Boy Rule Breakdown
69 Marks (32R / 37B · 46.4% Red across 29 Display Cols)

Rule 1: 32 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 37.

DDT28 Small Road & Cockroach Pig Tally
SR: 36R/31B (53.7% Red) · CP: 50R/15B (76.9% 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.

DDT28 Hand #78 Next-Hand Probe
If B → BEB red, SR red, CP red | If P → BEB blue, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #77 of DDT28.

DDT28 COLUMN GEOMETRY (DOUBLE-DOUBLE-TWIN)

DDT28 Scoreboard Structure: C1:2P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B

In catalog shoe DDT28 (seed 204328), 77 total hands resolve into 37 Banker wins, 35 Player wins, and 5 Ties across 34 logical columns (C1:2P · 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 DDT28 column by column shows peak runs of 4B and 4P spreading across 34 Big Road display columns: DDT28 records 32 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 DDT28 (Seed 204328)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DDT28-C01 (H1–H2)2P (PP) [DDT28]0B/2P (+0T @DDT28-C1)DDT28 Row2 Stop (Col1)NextColVsDDT28-C1: 2v2
DDT28-C02 (H3–H5)2B (BB) [DDT28]2B/2P (+1T @DDT28-C2)DDT28 Row2 Stop (Col2)NextColVsDDT28-C1: 2v2
DDT28-C03 (H6–H7)2P (PP) [DDT28]2B/4P (+0T @DDT28-C3)DDT28 Row2 Stop (Col3)NextColVsDDT28-C2: 2v2
DDT28-C04 (H8–H9)2B (BB) [DDT28]4B/4P (+0T @DDT28-C4)DDT28 Row2 Stop (Col4)NextColVsDDT28-C3: 2v2
DDT28-C05 (H10–H11)2P (PP) [DDT28]4B/6P (+0T @DDT28-C5)DDT28 Row2 Stop (Col5)NextColVsDDT28-C4: 2v2
DDT28-C06 (H12–H13)2B (BB) [DDT28]6B/6P (+0T @DDT28-C6)DDT28 Row2 Stop (Col6)NextColVsDDT28-C5: 2v2
DDT28-C07 (H14–H15)2P (PP) [DDT28]6B/8P (+0T @DDT28-C7)DDT28 Row2 Stop (Col7)NextColVsDDT28-C6: 2v2
DDT28-C08 (H16–H18)2B (BB) [DDT28]8B/8P (+1T @DDT28-C8)DDT28 Row2 Stop (Col8)NextColVsDDT28-C7: 2v2
DDT28-C09 (H19–H20)2P (PP) [DDT28]8B/10P (+0T @DDT28-C9)DDT28 Row2 Stop (Col9)NextColVsDDT28-C8: 2v2
DDT28-C10 (H21–H22)2B (BB) [DDT28]10B/10P (+0T @DDT28-C10)DDT28 Row2 Stop (Col10)NextColVsDDT28-C9: 2v2
  • DDT28 BEB #6 (RED): verified at DDT28 lookback-1 index 5 (32R/37B total).
  • DDT28 SR #4 (RED): verified at DDT28 lookback-2 index 3 (36R/31B total).
  • DDT28 CP #4 (RED): verified at DDT28 lookback-3 index 3 (50R/15B total).
DDT28 DERIVED-ROAD & CUT-CARD PROBE

DDT28 Lookback Split (32R/37B BEB · 36R/31B SR · 50R/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 DDT28, Big Eye Boy prints 32 Red (46.4%) and 37 Blue marks, Small Road prints 36 Red (53.7%) and 31 Blue marks, and Cockroach Pig prints 50 Red (76.9%) and 15 Blue marks.

At the DDT28 cut card after Hand #77, probing Hand #78 via getNextRoadPredictions() yields Banker → BEB RED / SR RED / CP RED and Player → BEB BLUE / SR BLUE / CP BLUE for DDT28.

Table Reality Check

Myth vs. Truth

MythThe second bead of each pair in DDT28 marks Blue because the 2-bead column is about to end.
TruthAt Row 2 in DDT28, 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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