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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0339 (SEED 353775)

Triple Block Symmetry S2-0339: 82-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0339 (seed 353775) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 82 hands (42 Banker, 32 Player, 8 Tie). Its 45 logical columns span 45 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B) and produce 71 Big Eye Boy marks (38R/33B), 69 Small Road marks (36R/33B), and 68 Cockroach Pig marks (33R/35B).

Verified 8-Deck Hands
82 (S2-0339)
Outcome Split
42B / 32P / 8T
Longest Streaks
7B · 5P
Big Road Columns
45 Cols
Engine-Verified Scoreboard · 82 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 B P B P P P P B B B B B B P P B B B B B P B B P B P B B P B B P B P B P B B P B P B B P B P B P B P B P B B
Big Eye Boy = = ≠ = = ≠ ≠ = ≠ ≠ ≠ = = = ≠ = = = ≠ = = = = ≠ = ≠ = ≠ = ≠ = = = ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ = = ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ = = ≠ ≠ ≠ = = = = = = ≠ = =
Small Road ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ = = ≠ = = = ≠ ≠ = = = = = ≠ = ≠ = = = = = ≠ ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = = = = ≠ ≠ ≠ = ≠ = ≠ ≠ = ≠ = = = = = = ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ = ≠ = = = ≠ ≠ = = = = = ≠ ≠ ≠ = = = = ≠ ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ = = = = = ≠ ≠ ≠ = = ≠ = = = = = = ≠

S2-0339 (seed 353775): 82 hands (42B / 32P / 8T), max streaks 7B & 5P across 45 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)
S2-0339 BEB Mark #1

This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).

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

S2-0339 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.

S2-0339 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

S2-0339 8-Deck Hand Count
82 Hands (42 Banker / 32 Player / 8 Tie)

Seed 353775 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B (ties at H13,H21,H37,H39).

S2-0339 Big Road Span & Max Streaks
Max 7B / Max 5P Across 45 Logical Cols (45 Display Cols)

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

S2-0339 Big Eye Boy Rule Split
71 Marks (38R / 33B · 53.5% Red Across 33 Cols)

Rule 1: 43 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 28.

S2-0339 Small Road & Cockroach Pig Split
SR: 36R/33B (52.2% Red) · CP: 33R/35B (48.5% Red)

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

S2-0339 Hand #83 Next-Hand Probe
If B -> BEB RED, SR RED, CP RED | If P -> BEB BLUE, SR BLUE, CP BLUE

Verified via getNextRoadPredictions() at Hand #82 of S2-0339.

S2-0339 SCOREBOARD STRUCTURE

S2-0339 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B)

Over 82 verified hands (42B, 32P, 8T), S2-0339 (seed 353775) populates 45 logical columns (45 display columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B) to document 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.

Longest streaks of 7 Banker and 5 Player in S2-0339 (ties at H13,H21,H37,H39) break down on Lookback 1 into 43 new-column checks, 0 covered-row checks, 0 one-past-bottom breaks, and 28 deep overhang marks.

Opening 9 Big Road Columns of S2-0339 (Seed 353775)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0339-C1:H1-2S2-0339:2BS2-0339:2B/0P/+0TS2-0339:R2StopS2-0339:2vs2
S2-0339-C2:H3-4S2-0339:2PS2-0339:2B/2P/+0TS2-0339:R2StopS2-0339:2vs2
S2-0339-C3:H5-5S2-0339:1BS2-0339:3B/2P/+0TS2-0339:R1StopS2-0339:1vs2
S2-0339-C4:H6-6S2-0339:1PS2-0339:3B/3P/+0TS2-0339:R1StopS2-0339:1vs1
S2-0339-C5:H7-7S2-0339:1BS2-0339:4B/3P/+0TS2-0339:R1StopS2-0339:1vs1
S2-0339-C6:H8-9S2-0339:2PS2-0339:4B/5P/+0TS2-0339:R2StopS2-0339:2vs1
S2-0339-C7:H10-13S2-0339:3BS2-0339:7B/5P/+1TS2-0339:R3StopS2-0339:3vs2
S2-0339-C8:H14-14S2-0339:1PS2-0339:7B/6P/+0TS2-0339:R1StopS2-0339:1vs3
S2-0339-C9:H15-15S2-0339:1BS2-0339:8B/6P/+0TS2-0339:R1StopS2-0339:1vs1
  • S2-0339 BEB #1 (RED): This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).
  • S2-0339 SR #6 (BLUE): This bead is at Row 2. Column 5 stopped at Row 1, one row above → blue (≠).
  • S2-0339 CP #5 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
S2-0339 DERIVED-ROAD & NEXT-HAND PROBE

S2-0339 Lookback Audit (38R/33B BEB · 36R/33B SR · 33R/35B CP)

In shoe S2-0339, Red (=) repeating shares settle at 53.5% on BEB (38R/33B), 52.2% on SR (36R/33B), and 48.5% on CP (33R/35B). Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats.

Cut-card probe #83 for S2-0339 resolves Banker to BEB RED / SR RED / CP RED and Player to BEB BLUE / SR BLUE / CP BLUE using exact Big Road column depths.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0339 causes a Blue mark on Row 2.
TruthRow 2 in S2-0339 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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