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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0354 (SEED 491415)

Triple Block Symmetry S2-0354: 81-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0354 (seed 491415) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 81 hands (37 Banker, 38 Player, 6 Tie). Its 39 logical columns span 39 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) and produce 72 Big Eye Boy marks (34R/38B), 70 Small Road marks (31R/39B), and 69 Cockroach Pig marks (33R/36B).

Verified 8-Deck Hands
81 (S2-0354)
Outcome Split
37B / 38P / 6T
Longest Streaks
6B · 4P
Big Road Columns
39 Cols
Engine-Verified Scoreboard · 81 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 P B P B B B B B P B P P B P P P P B B P P B B B P P B P B B P P B P B B B P B P P P B P P B P P P B B B B P B B
Big Eye Boy = = ≠ = = ≠ ≠ = = = ≠ ≠ ≠ = ≠ = = = = ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ = ≠ = = = ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ = = = = ≠ = ≠ ≠ = ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ = = ≠ ≠ ≠ ≠
Small Road ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = = = = ≠ ≠ = ≠ ≠ = ≠ = = ≠ = ≠ ≠ ≠ = ≠ = ≠ ≠ = = ≠ = = ≠ ≠ ≠ ≠ = = = ≠ = ≠ = ≠ ≠ = = ≠ = = ≠ = = ≠ ≠ ≠ = = ≠ ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ = = ≠ ≠ = ≠ = = ≠ ≠ ≠ = = ≠ = = ≠ ≠ = = ≠ = = ≠ = ≠ = = = ≠ ≠ = = ≠ = ≠ = = = = ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ = ≠ = ≠ = =

S2-0354 (seed 491415): 81 hands (37B / 38P / 6T), max streaks 6B & 4P across 39 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)
S2-0354 BEB Mark #8

This bead is at Row 2. Column 6 has a bead at Row 2 too → red (=).

  1. Column 7 goes down to Row 2, so use Rule 2: look 1 column back, at Column 6.
  2. Column 6 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 6 stopped exactly one row above this bead.

S2-0354 SR Mark #6

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

  1. Column 7 goes down to Row 2, so use Rule 2: look 2 columns 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.

S2-0354 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

S2-0354 8-Deck Hand Count
81 Hands (37 Banker / 38 Player / 6 Tie)

Seed 491415 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B (ties at H23,H25,H28,H48).

S2-0354 Big Road Span & Max Streaks
Max 6B / Max 4P Across 39 Logical Cols (39 Display Cols)

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

S2-0354 Big Eye Boy Rule Split
72 Marks (34R / 38B · 47.2% Red Across 34 Cols)

Rule 1: 37 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 35.

S2-0354 Small Road & Cockroach Pig Split
SR: 31R/39B (44.3% Red) · CP: 33R/36B (47.8% Red)

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

S2-0354 Hand #82 Next-Hand Probe
If B -> BEB RED, SR RED, CP RED | If P -> BEB BLUE, SR BLUE, CP BLUE

Verified via getNextRoadPredictions() at Hand #81 of S2-0354.

S2-0354 SCOREBOARD STRUCTURE

S2-0354 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B)

In 8-deck record S2-0354 (seed 491415), 39 logical columns (39 display columns, C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) organize 81 hands (37B, 38P, 6T) around 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.

Scoreboard metrics on S2-0354 list 6B and 4P max runs (ties H23,H25,H28,H48) with 37 Rule 1, 0 Case 1, 0 Case 2, and 35 Case 3 Lookback-1 outcomes.

Opening 9 Big Road Columns of S2-0354 (Seed 491415)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0354-C1:H1-2S2-0354:2BS2-0354:2B/0P/+0TS2-0354:R2StopS2-0354:2vs2
S2-0354-C2:H3-4S2-0354:2PS2-0354:2B/2P/+0TS2-0354:R2StopS2-0354:2vs2
S2-0354-C3:H5-5S2-0354:1BS2-0354:3B/2P/+0TS2-0354:R1StopS2-0354:1vs2
S2-0354-C4:H6-6S2-0354:1PS2-0354:3B/3P/+0TS2-0354:R1StopS2-0354:1vs1
S2-0354-C5:H7-7S2-0354:1BS2-0354:4B/3P/+0TS2-0354:R1StopS2-0354:1vs1
S2-0354-C6:H8-9S2-0354:2PS2-0354:4B/5P/+0TS2-0354:R2StopS2-0354:2vs1
S2-0354-C7:H10-11S2-0354:2BS2-0354:6B/5P/+0TS2-0354:R2StopS2-0354:2vs2
S2-0354-C8:H12-14S2-0354:3PS2-0354:6B/8P/+0TS2-0354:R3StopS2-0354:3vs2
S2-0354-C9:H15-15S2-0354:1BS2-0354:7B/8P/+0TS2-0354:R1StopS2-0354:1vs3
  • S2-0354 BEB #8 (RED): This bead is at Row 2. Column 6 has a bead at Row 2 too → red (=).
  • S2-0354 SR #6 (BLUE): This bead is at Row 2. Column 5 stopped at Row 1, one row above → blue (≠).
  • S2-0354 CP #5 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
S2-0354 DERIVED-ROAD & NEXT-HAND PROBE

S2-0354 Lookback Audit (34R/38B BEB · 31R/39B SR · 33R/36B CP)

Across all three derived grids in S2-0354, Lookback 1 posts 34R/38B (47.2% Red), Lookback 2 posts 31R/39B (44.3% Red), and Lookback 3 posts 33R/36B (47.8% Red). Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats.

For hypothetical Hand #82 in S2-0354, Banker produces BEB RED, SR RED, and CP RED while Player produces BEB BLUE, SR BLUE, and CP BLUE, reflecting opposite Rule 1 and Rule 2 branches.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0354 causes a Blue mark on Row 2.
TruthRow 2 in S2-0354 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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