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TWIN 2x2 COLUMN SYMMETRY · CATALOG DDT02 (SEED 204302)

Double-Double Twin Shoe DDT02: 73-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DDT02 (seed 204302) 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 (35 Banker, 34 Player, 4 Tie). Its 32 logical Big Road columns occupy 32 display columns (C1:2P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:2P · C8:3B) and generate 66 Big Eye Boy marks (28R/38B), 64 Small Road marks (29R/35B), and 62 Cockroach Pig marks (45R/17B).

Verified 8-Deck Hands
73 (DDT02)
Outcome Split
35B / 34P / 4T
Peak Streaks
4B · 4P
Big Road Columns
32 Cols
Engine-Verified Scoreboard · 73 Hands

Read the Board at Table Speed

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

DDT02 (seed 204302): 73 hands (35B / 34P / 4T), 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)
DDT02 Big Eye Boy Entry #4

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

DDT02 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.

DDT02 Cockroach Pig Entry #2

Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  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 2 beads. Same depth → red (=).

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

DDT02 8-Deck Hand Distribution
73 Hands (35 Banker / 34 Player / 4 Tie)

Seed 204302 opening column signature: C1:2P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:2P · C8:3B.

DDT02 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.

DDT02 Big Eye Boy Rule Breakdown
66 Marks (28R / 38B · 42.4% Red across 31 Display Cols)

Rule 1: 30 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 36.

DDT02 Small Road & Cockroach Pig Tally
SR: 29R/35B (45.3% Red) · CP: 45R/17B (72.6% 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.

DDT02 Hand #74 Next-Hand Probe
If B → BEB red, SR red, CP blue | If P → BEB blue, SR blue, CP red

Computed by getNextRoadPredictions() after Hand #73 of DDT02.

DDT02 COLUMN GEOMETRY (DOUBLE-DOUBLE-TWIN)

DDT02 Scoreboard Structure: C1:2P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:2P · C8:3B

In catalog shoe DDT02 (seed 204302), 73 total hands resolve into 35 Banker wins, 34 Player wins, and 4 Ties across 32 logical columns (C1:2P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:2P · C8:3B). 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 DDT02 column by column shows peak runs of 4B and 4P spreading across 32 Big Road display columns: DDT02 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 36 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DDT02 (Seed 204302)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DDT02-C01 (H1–H3)2P (PP) [DDT02]0B/2P (+1T @DDT02-C1)DDT02 Row2 Stop (Col1)NextColVsDDT02-C1: 2v2
DDT02-C02 (H4–H5)2B (BB) [DDT02]2B/2P (+0T @DDT02-C2)DDT02 Row2 Stop (Col2)NextColVsDDT02-C1: 2v2
DDT02-C03 (H6–H7)2P (PP) [DDT02]2B/4P (+0T @DDT02-C3)DDT02 Row2 Stop (Col3)NextColVsDDT02-C2: 2v2
DDT02-C04 (H8–H9)2B (BB) [DDT02]4B/4P (+0T @DDT02-C4)DDT02 Row2 Stop (Col4)NextColVsDDT02-C3: 2v2
DDT02-C05 (H10–H11)2P (PP) [DDT02]4B/6P (+0T @DDT02-C5)DDT02 Row2 Stop (Col5)NextColVsDDT02-C4: 2v2
DDT02-C06 (H12–H13)2B (BB) [DDT02]6B/6P (+0T @DDT02-C6)DDT02 Row2 Stop (Col6)NextColVsDDT02-C5: 2v2
DDT02-C07 (H14–H16)2P (PP) [DDT02]6B/8P (+1T @DDT02-C7)DDT02 Row2 Stop (Col7)NextColVsDDT02-C6: 2v2
DDT02-C08 (H17–H19)3B (BBB) [DDT02]9B/8P (+0T @DDT02-C8)DDT02 Row3 Stop (Col8)NextColVsDDT02-C7: 3v2
DDT02-C09 (H20–H20)1P (P) [DDT02]9B/9P (+0T @DDT02-C9)DDT02 Row1 Stop (Col9)NextColVsDDT02-C8: 1v3
DDT02-C10 (H21–H22)2B (BB) [DDT02]11B/9P (+0T @DDT02-C10)DDT02 Row2 Stop (Col10)NextColVsDDT02-C9: 2v1
  • DDT02 BEB #4 (RED): verified at DDT02 lookback-1 index 3 (28R/38B total).
  • DDT02 SR #3 (RED): verified at DDT02 lookback-2 index 2 (29R/35B total).
  • DDT02 CP #2 (RED): verified at DDT02 lookback-3 index 1 (45R/17B total).
DDT02 DERIVED-ROAD & CUT-CARD PROBE

DDT02 Lookback Split (28R/38B BEB · 29R/35B SR · 45R/17B 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 DDT02, Big Eye Boy prints 28 Red (42.4%) and 38 Blue marks, Small Road prints 29 Red (45.3%) and 35 Blue marks, and Cockroach Pig prints 45 Red (72.6%) and 17 Blue marks.

At the DDT02 cut card after Hand #73, probing Hand #74 via getNextRoadPredictions() yields Banker → BEB RED / SR RED / CP BLUE and Player → BEB BLUE / SR BLUE / CP RED for DDT02.

Table Reality Check

Myth vs. Truth

MythThe second bead of each pair in DDT02 marks Blue because the 2-bead column is about to end.
TruthAt Row 2 in DDT02, 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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