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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0344 (SEED 399655)

Triple Block Symmetry S2-0344: 71-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0344 (seed 399655) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 71 hands (34 Banker, 36 Player, 1 Tie). Its 36 logical columns span 36 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) and produce 67 Big Eye Boy marks (34R/33B), 65 Small Road marks (31R/34B), and 64 Cockroach Pig marks (29R/35B).

Verified 8-Deck Hands
71 (S2-0344)
Outcome Split
34B / 36P / 1T
Longest Streaks
6B · 4P
Big Road Columns
36 Cols
Engine-Verified Scoreboard · 71 Hands

Read the Board at Table Speed

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

S2-0344 (seed 399655): 71 hands (34B / 36P / 1T), max streaks 6B & 4P across 36 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)
S2-0344 BEB Mark #6

This bead is at Row 2. Column 5 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 1 column back, at Column 5.
  2. Column 5 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 5 stopped exactly one row above this bead.

S2-0344 SR Mark #4

This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 4.
  2. Column 4 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 4 stopped exactly one row above this bead.

S2-0344 CP Mark #5

This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).

  1. Column 7 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 4.
  2. Column 4 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 4 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

S2-0344 8-Deck Hand Count
71 Hands (34 Banker / 36 Player / 1 Tie)

Seed 399655 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B (ties at H30).

S2-0344 Big Road Span & Max Streaks
Max 6B / Max 4P Across 36 Logical Cols (36 Display Cols)

Three-row blocks test one Rule 1 new-column comparison and two consecutive Rule 2 Case 1 downward checks per column.

S2-0344 Big Eye Boy Rule Split
67 Marks (34R / 33B · 50.7% Red Across 31 Cols)

Rule 1: 34 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 33.

S2-0344 Small Road & Cockroach Pig Split
SR: 31R/34B (47.7% Red) · CP: 29R/35B (45.3% Red)

Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats.

S2-0344 Hand #72 Next-Hand Probe
If B -> BEB BLUE, SR BLUE, CP BLUE | If P -> BEB RED, SR RED, CP RED

Verified via getNextRoadPredictions() at Hand #71 of S2-0344.

S2-0344 SCOREBOARD STRUCTURE

S2-0344 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B)

Shoe S2-0344 (seed 399655) completes 71 hands (34 Banker / 36 Player / 1 Tie) across 36 columns and 36 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B), demonstrating a three-deep BBB-PPP column blocks testing Lookback-2 parity. Three-row blocks test one Rule 1 new-column comparison and two consecutive Rule 2 Case 1 downward checks per column.

Peak runs in S2-0344 reach 6B and 4P (tie positions H30), while Big Eye Boy logs 34 Rule 1 checks, 0 Rule 2 Case 1 checks, 0 Case 2 breaks, and 33 Case 3 overhang marks.

Opening 9 Big Road Columns of S2-0344 (Seed 399655)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0344-C1:H1-2S2-0344:2BS2-0344:2B/0P/+0TS2-0344:R2StopS2-0344:2vs2
S2-0344-C2:H3-4S2-0344:2PS2-0344:2B/2P/+0TS2-0344:R2StopS2-0344:2vs2
S2-0344-C3:H5-5S2-0344:1BS2-0344:3B/2P/+0TS2-0344:R1StopS2-0344:1vs2
S2-0344-C4:H6-6S2-0344:1PS2-0344:3B/3P/+0TS2-0344:R1StopS2-0344:1vs1
S2-0344-C5:H7-7S2-0344:1BS2-0344:4B/3P/+0TS2-0344:R1StopS2-0344:1vs1
S2-0344-C6:H8-9S2-0344:2PS2-0344:4B/5P/+0TS2-0344:R2StopS2-0344:2vs1
S2-0344-C7:H10-11S2-0344:2BS2-0344:6B/5P/+0TS2-0344:R2StopS2-0344:2vs2
S2-0344-C8:H12-13S2-0344:2PS2-0344:6B/7P/+0TS2-0344:R2StopS2-0344:2vs2
S2-0344-C9:H14-14S2-0344:1BS2-0344:7B/7P/+0TS2-0344:R1StopS2-0344:1vs2
  • S2-0344 BEB #6 (BLUE): This bead is at Row 2. Column 5 stopped at Row 1, one row above → blue (≠).
  • S2-0344 SR #4 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
  • S2-0344 CP #5 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
S2-0344 DERIVED-ROAD & NEXT-HAND PROBE

S2-0344 Lookback Audit (34R/33B BEB · 31R/34B SR · 29R/35B CP)

Comparing lookback distances k=1, k=2, and k=3 in S2-0344 yields 34R/33B (50.7% Red) on BEB, 31R/34B (47.7% Red) on SR, and 29R/35B (45.3% Red) on CP. Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats.

After 71 hands in S2-0344, testing Hand #72 assigns BEB BLUE, SR BLUE, CP BLUE on a Banker win and BEB RED, SR RED, CP RED on a Player win.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0344 causes a Blue mark on Row 2.
TruthRow 2 in S2-0344 is still covered by the 3-bead reference column (Red =); the depth mismatch registers on the next column's Row 1 bead.
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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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