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TWIN 2x2 COLUMN SYMMETRY · CATALOG DDT35 (SEED 204335)

Double-Double Twin Shoe DDT35: 76-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DDT35 (seed 204335) captures a repeating 2-bead BB-PP-BB-PP twin columns testing Rule 1 and Rule 2 Case 1 in tandem across 76 dealt 8-deck hands (33 Banker, 36 Player, 7 Tie). Its 31 logical Big Road columns occupy 31 display columns (C1:3B · C2:4P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:2P) and generate 65 Big Eye Boy marks (32R/33B), 61 Small Road marks (32R/29B), and 59 Cockroach Pig marks (43R/16B).

Verified 8-Deck Hands
76 (DDT35)
Outcome Split
33B / 36P / 7T
Peak Streaks
4B · 4P
Big Road Columns
31 Cols
Engine-Verified Scoreboard · 76 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P P P B B P B B P P B B P B B P 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 B P P P B
Big Eye Boy = = ≠ ≠ = ≠ = = = = = = ≠ = = = ≠ ≠ ≠ = = = ≠ = = = ≠ ≠ ≠ = = = ≠ = = = ≠ = = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠
Small Road = ≠ = ≠ = = = = = = ≠ = = = ≠ ≠ = = = = ≠ ≠ ≠ ≠ = = = ≠ ≠ ≠ ≠ = = = = ≠ ≠ ≠ = = ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ = = ≠ ≠ = = ≠
Cockroach Pig = ≠ = ≠ = = = = = = ≠ = = = ≠ ≠ = = = ≠ ≠ = = = ≠ = = = = = = = ≠ = = ≠ ≠ = = = = ≠ = = = = = = ≠ ≠ = = = = ≠ ≠ = = =

DDT35 (seed 204335): 76 hands (33B / 36P / 7T), peak streaks 4B & 4P across 31 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)
DDT35 Big Eye Boy Entry #7

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.

DDT35 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.

DDT35 Cockroach Pig Entry #3

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

DDT35 8-Deck Hand Distribution
76 Hands (33 Banker / 36 Player / 7 Tie)

Seed 204335 opening column signature: C1:3B · C2:4P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:2P.

DDT35 Big Road Span & Max Streaks
Max 4B / Max 4P Across 31 Logical Cols (31 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.

DDT35 Big Eye Boy Rule Breakdown
65 Marks (32R / 33B · 49.2% Red across 30 Display Cols)

Rule 1: 29 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 36.

DDT35 Small Road & Cockroach Pig Tally
SR: 32R/29B (52.5% Red) · CP: 43R/16B (72.9% 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.

DDT35 Hand #77 Next-Hand Probe
If B → BEB red, SR blue, CP red | If P → BEB blue, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #76 of DDT35.

DDT35 COLUMN GEOMETRY (DOUBLE-DOUBLE-TWIN)

DDT35 Scoreboard Structure: C1:3B · C2:4P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:2P

In catalog shoe DDT35 (seed 204335), 76 total hands resolve into 33 Banker wins, 36 Player wins, and 7 Ties across 31 logical columns (C1:3B · C2:4P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:2P). 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 DDT35 column by column shows peak runs of 4B and 4P spreading across 31 Big Road display columns: DDT35 records 29 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 DDT35 (Seed 204335)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DDT35-C01 (H1–H4)3B (BBB) [DDT35]3B/0P (+1T @DDT35-C1)DDT35 Row3 Stop (Col1)NextColVsDDT35-C1: 3v3
DDT35-C02 (H5–H8)4P (PPPP) [DDT35]3B/4P (+0T @DDT35-C2)DDT35 Row4 Stop (Col2)NextColVsDDT35-C1: 4v3
DDT35-C03 (H9–H10)2B (BB) [DDT35]5B/4P (+0T @DDT35-C3)DDT35 Row2 Stop (Col3)NextColVsDDT35-C2: 2v4
DDT35-C04 (H11–H13)2P (PP) [DDT35]5B/6P (+1T @DDT35-C4)DDT35 Row2 Stop (Col4)NextColVsDDT35-C3: 2v2
DDT35-C05 (H14–H15)2B (BB) [DDT35]7B/6P (+0T @DDT35-C5)DDT35 Row2 Stop (Col5)NextColVsDDT35-C4: 2v2
DDT35-C06 (H16–H17)2P (PP) [DDT35]7B/8P (+0T @DDT35-C6)DDT35 Row2 Stop (Col6)NextColVsDDT35-C5: 2v2
DDT35-C07 (H18–H19)2B (BB) [DDT35]9B/8P (+0T @DDT35-C7)DDT35 Row2 Stop (Col7)NextColVsDDT35-C6: 2v2
DDT35-C08 (H20–H22)2P (PP) [DDT35]9B/10P (+1T @DDT35-C8)DDT35 Row2 Stop (Col8)NextColVsDDT35-C7: 2v2
DDT35-C09 (H23–H24)2B (BB) [DDT35]11B/10P (+0T @DDT35-C9)DDT35 Row2 Stop (Col9)NextColVsDDT35-C8: 2v2
DDT35-C10 (H25–H26)2P (PP) [DDT35]11B/12P (+0T @DDT35-C10)DDT35 Row2 Stop (Col10)NextColVsDDT35-C9: 2v2
  • DDT35 BEB #7 (RED): verified at DDT35 lookback-1 index 6 (32R/33B total).
  • DDT35 SR #6 (RED): verified at DDT35 lookback-2 index 5 (32R/29B total).
  • DDT35 CP #3 (RED): verified at DDT35 lookback-3 index 2 (43R/16B total).
DDT35 DERIVED-ROAD & CUT-CARD PROBE

DDT35 Lookback Split (32R/33B BEB · 32R/29B SR · 43R/16B 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 DDT35, Big Eye Boy prints 32 Red (49.2%) and 33 Blue marks, Small Road prints 32 Red (52.5%) and 29 Blue marks, and Cockroach Pig prints 43 Red (72.9%) and 16 Blue marks.

At the DDT35 cut card after Hand #76, probing Hand #77 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP RED and Player → BEB BLUE / SR RED / CP BLUE for DDT35.

Table Reality Check

Myth vs. Truth

MythThe second bead of each pair in DDT35 marks Blue because the 2-bead column is about to end.
TruthAt Row 2 in DDT35, 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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