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TWIN 2x2 COLUMN SYMMETRY · CATALOG DDT36 (SEED 204336)

Double-Double Twin Shoe DDT36: 81-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DDT36 (seed 204336) captures a repeating 2-bead BB-PP-BB-PP twin columns testing Rule 1 and Rule 2 Case 1 in tandem across 81 dealt 8-deck hands (34 Banker, 39 Player, 8 Tie). Its 36 logical Big Road columns occupy 36 display columns (C1:1P · C2:1B · C3:1P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B) and generate 71 Big Eye Boy marks (28R/43B), 70 Small Road marks (28R/42B), and 69 Cockroach Pig marks (47R/22B).

Verified 8-Deck Hands
81 (DDT36)
Outcome Split
34B / 39P / 8T
Peak Streaks
4B · 4P
Big Road Columns
36 Cols
Engine-Verified Scoreboard · 81 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 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 P P P B B P P P B P P B B B P B B P P P B
Big Eye Boy = = ≠ ≠ = = = = = = ≠ ≠ = = = ≠ = = = ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ ≠
Small Road = ≠ ≠ ≠ ≠ = = = = = = ≠ = = = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ = = ≠ ≠ = = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = = = = = = ≠ = ≠ ≠ = = ≠ = = ≠ ≠ = = = = ≠ = = = = = = ≠ ≠ = = = = ≠ ≠ = = = ≠ = = = = = = = ≠ = = ≠ ≠ = = = = ≠ = = = = = =

DDT36 (seed 204336): 81 hands (34B / 39P / 8T), peak streaks 4B & 4P across 36 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)
DDT36 Big Eye Boy Entry #8

Column 6 has 2 beads. Column 5 has 2 beads. Same depth → red (=).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 5, 1 column further back.
  2. Column 6 has 2 beads. Column 5 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 5.

DDT36 Small Road Entry #2

This bead is at Row 2. Column 2 stopped at Row 1, one row above → blue (≠).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 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.

DDT36 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

DDT36 8-Deck Hand Distribution
81 Hands (34 Banker / 39 Player / 8 Tie)

Seed 204336 opening column signature: C1:1P · C2:1B · C3:1P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B.

DDT36 Big Road Span & Max Streaks
Max 4B / Max 4P Across 36 Logical Cols (36 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.

DDT36 Big Eye Boy Rule Breakdown
71 Marks (28R / 43B · 39.4% Red across 36 Display Cols)

Rule 1: 34 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 37.

DDT36 Small Road & Cockroach Pig Tally
SR: 28R/42B (40.0% Red) · CP: 47R/22B (68.1% 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.

DDT36 Hand #82 Next-Hand Probe
If B → BEB red, SR red, CP blue | If P → BEB blue, SR blue, CP red

Computed by getNextRoadPredictions() after Hand #81 of DDT36.

DDT36 COLUMN GEOMETRY (DOUBLE-DOUBLE-TWIN)

DDT36 Scoreboard Structure: C1:1P · C2:1B · C3:1P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B

In catalog shoe DDT36 (seed 204336), 81 total hands resolve into 34 Banker wins, 39 Player wins, and 8 Ties across 36 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 DDT36 column by column shows peak runs of 4B and 4P spreading across 36 Big Road display columns: DDT36 records 34 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 DDT36 (Seed 204336)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DDT36-C01 (H1–H1)1P (P) [DDT36]0B/1P (+0T @DDT36-C1)DDT36 Row1 Stop (Col1)NextColVsDDT36-C1: 1v1
DDT36-C02 (H2–H2)1B (B) [DDT36]1B/1P (+0T @DDT36-C2)DDT36 Row1 Stop (Col2)NextColVsDDT36-C1: 1v1
DDT36-C03 (H3–H4)1P (P) [DDT36]1B/2P (+1T @DDT36-C3)DDT36 Row1 Stop (Col3)NextColVsDDT36-C2: 1v1
DDT36-C04 (H5–H6)2B (BB) [DDT36]3B/2P (+0T @DDT36-C4)DDT36 Row2 Stop (Col4)NextColVsDDT36-C3: 2v1
DDT36-C05 (H7–H8)2P (PP) [DDT36]3B/4P (+0T @DDT36-C5)DDT36 Row2 Stop (Col5)NextColVsDDT36-C4: 2v2
DDT36-C06 (H9–H10)2B (BB) [DDT36]5B/4P (+0T @DDT36-C6)DDT36 Row2 Stop (Col6)NextColVsDDT36-C5: 2v2
DDT36-C07 (H11–H13)2P (PP) [DDT36]5B/6P (+1T @DDT36-C7)DDT36 Row2 Stop (Col7)NextColVsDDT36-C6: 2v2
DDT36-C08 (H14–H15)2B (BB) [DDT36]7B/6P (+0T @DDT36-C8)DDT36 Row2 Stop (Col8)NextColVsDDT36-C7: 2v2
DDT36-C09 (H16–H17)2P (PP) [DDT36]7B/8P (+0T @DDT36-C9)DDT36 Row2 Stop (Col9)NextColVsDDT36-C8: 2v2
DDT36-C10 (H18–H18)1B (B) [DDT36]8B/8P (+0T @DDT36-C10)DDT36 Row1 Stop (Col10)NextColVsDDT36-C9: 1v2
  • DDT36 BEB #8 (RED): verified at DDT36 lookback-1 index 7 (28R/43B total).
  • DDT36 SR #2 (BLUE): verified at DDT36 lookback-2 index 1 (28R/42B total).
  • DDT36 CP #4 (BLUE): verified at DDT36 lookback-3 index 3 (47R/22B total).
DDT36 DERIVED-ROAD & CUT-CARD PROBE

DDT36 Lookback Split (28R/43B BEB · 28R/42B SR · 47R/22B 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 DDT36, Big Eye Boy prints 28 Red (39.4%) and 43 Blue marks, Small Road prints 28 Red (40.0%) and 42 Blue marks, and Cockroach Pig prints 47 Red (68.1%) and 22 Blue marks.

At the DDT36 cut card after Hand #81, probing Hand #82 via getNextRoadPredictions() yields Banker → BEB RED / SR RED / CP BLUE and Player → BEB BLUE / SR BLUE / CP RED for DDT36.

Table Reality Check

Myth vs. Truth

MythThe second bead of each pair in DDT36 marks Blue because the 2-bead column is about to end.
TruthAt Row 2 in DDT36, 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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