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TWIN 2x2 COLUMN SYMMETRY · CATALOG DDT10 (SEED 204310)

Double-Double Twin Shoe DDT10: 77-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DDT10 (seed 204310) 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 (33 Banker, 37 Player, 7 Tie). Its 33 logical Big Road columns occupy 33 display columns (C1:1P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B) and generate 68 Big Eye Boy marks (31R/37B), 66 Small Road marks (33R/33B), and 64 Cockroach Pig marks (47R/17B).

Verified 8-Deck Hands
77 (DDT10)
Outcome Split
33B / 37P / 7T
Peak Streaks
4B · 4P
Big Road Columns
33 Cols
Engine-Verified Scoreboard · 77 Hands

Read the Board at Table Speed

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

DDT10 (seed 204310): 77 hands (33B / 37P / 7T), peak streaks 4B & 4P across 33 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)
DDT10 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.

DDT10 Small Road Entry #6

Column 5 has 2 beads. Column 3 has 2 beads. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 2 beads. Column 3 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

DDT10 Cockroach Pig Entry #2

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

DDT10 8-Deck Hand Distribution
77 Hands (33 Banker / 37 Player / 7 Tie)

Seed 204310 opening column signature: C1:1P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B.

DDT10 Big Road Span & Max Streaks
Max 4B / Max 4P Across 33 Logical Cols (33 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.

DDT10 Big Eye Boy Rule Breakdown
68 Marks (31R / 37B · 45.6% Red across 31 Display Cols)

Rule 1: 31 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 37.

DDT10 Small Road & Cockroach Pig Tally
SR: 33R/33B (50.0% Red) · CP: 47R/17B (73.4% 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.

DDT10 Hand #78 Next-Hand Probe
If B → BEB blue, SR blue, CP red | If P → BEB red, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #77 of DDT10.

DDT10 COLUMN GEOMETRY (DOUBLE-DOUBLE-TWIN)

DDT10 Scoreboard Structure: C1:1P · C2:2B · C3:2P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B

In catalog shoe DDT10 (seed 204310), 77 total hands resolve into 33 Banker wins, 37 Player wins, and 7 Ties across 33 logical columns (C1:1P · 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 DDT10 column by column shows peak runs of 4B and 4P spreading across 33 Big Road display columns: DDT10 records 31 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 DDT10 (Seed 204310)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DDT10-C01 (H1–H2)1P (P) [DDT10]0B/1P (+1T @DDT10-C1)DDT10 Row1 Stop (Col1)NextColVsDDT10-C1: 1v1
DDT10-C02 (H3–H4)2B (BB) [DDT10]2B/1P (+0T @DDT10-C2)DDT10 Row2 Stop (Col2)NextColVsDDT10-C1: 2v1
DDT10-C03 (H5–H6)2P (PP) [DDT10]2B/3P (+0T @DDT10-C3)DDT10 Row2 Stop (Col3)NextColVsDDT10-C2: 2v2
DDT10-C04 (H7–H8)2B (BB) [DDT10]4B/3P (+0T @DDT10-C4)DDT10 Row2 Stop (Col4)NextColVsDDT10-C3: 2v2
DDT10-C05 (H9–H11)2P (PP) [DDT10]4B/5P (+1T @DDT10-C5)DDT10 Row2 Stop (Col5)NextColVsDDT10-C4: 2v2
DDT10-C06 (H12–H13)2B (BB) [DDT10]6B/5P (+0T @DDT10-C6)DDT10 Row2 Stop (Col6)NextColVsDDT10-C5: 2v2
DDT10-C07 (H14–H15)2P (PP) [DDT10]6B/7P (+0T @DDT10-C7)DDT10 Row2 Stop (Col7)NextColVsDDT10-C6: 2v2
DDT10-C08 (H16–H17)2B (BB) [DDT10]8B/7P (+0T @DDT10-C8)DDT10 Row2 Stop (Col8)NextColVsDDT10-C7: 2v2
DDT10-C09 (H18–H20)2P (PP) [DDT10]8B/9P (+1T @DDT10-C9)DDT10 Row2 Stop (Col9)NextColVsDDT10-C8: 2v2
DDT10-C10 (H21–H22)2B (BB) [DDT10]10B/9P (+0T @DDT10-C10)DDT10 Row2 Stop (Col10)NextColVsDDT10-C9: 2v2
  • DDT10 BEB #6 (RED): verified at DDT10 lookback-1 index 5 (31R/37B total).
  • DDT10 SR #6 (RED): verified at DDT10 lookback-2 index 5 (33R/33B total).
  • DDT10 CP #2 (BLUE): verified at DDT10 lookback-3 index 1 (47R/17B total).
DDT10 DERIVED-ROAD & CUT-CARD PROBE

DDT10 Lookback Split (31R/37B BEB · 33R/33B SR · 47R/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 DDT10, Big Eye Boy prints 31 Red (45.6%) and 37 Blue marks, Small Road prints 33 Red (50.0%) and 33 Blue marks, and Cockroach Pig prints 47 Red (73.4%) and 17 Blue marks.

At the DDT10 cut card after Hand #77, probing Hand #78 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP RED and Player → BEB RED / SR RED / CP BLUE for DDT10.

Table Reality Check

Myth vs. Truth

MythThe second bead of each pair in DDT10 marks Blue because the 2-bead column is about to end.
TruthAt Row 2 in DDT10, 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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