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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0332 (SEED 289543)

Triple Block Symmetry S2-0332: 77-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0332 (seed 289543) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 77 hands (39 Banker, 35 Player, 3 Tie). Its 41 logical columns span 41 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 71 Big Eye Boy marks (31R/40B), 69 Small Road marks (31R/38B), and 68 Cockroach Pig marks (33R/35B).

Verified 8-Deck Hands
77 (S2-0332)
Outcome Split
39B / 35P / 3T
Longest Streaks
4B · 4P
Big Road Columns
41 Cols
Engine-Verified Scoreboard · 77 Hands

Read the Board at Table Speed

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

S2-0332 (seed 289543): 77 hands (39B / 35P / 3T), max streaks 4B & 4P across 41 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)
S2-0332 BEB Mark #2

Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

S2-0332 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.

S2-0332 CP Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 3.
  2. Column 3 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 3 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

S2-0332 8-Deck Hand Count
77 Hands (39 Banker / 35 Player / 3 Tie)

Seed 289543 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H22,H45,H47).

S2-0332 Big Road Span & Max Streaks
Max 4B / Max 4P Across 41 Logical Cols (41 Display Cols)

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

S2-0332 Big Eye Boy Rule Split
71 Marks (31R / 40B · 43.7% Red Across 37 Cols)

Rule 1: 39 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 32.

S2-0332 Small Road & Cockroach Pig Split
SR: 31R/38B (44.9% 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.

S2-0332 Hand #78 Next-Hand Probe
If B -> BEB RED, SR RED, CP RED | If P -> BEB BLUE, SR BLUE, CP BLUE

Verified via getNextRoadPredictions() at Hand #77 of S2-0332.

S2-0332 SCOREBOARD STRUCTURE

S2-0332 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Big Road audit S2-0332 (seed 289543) tracks 77 hands (39 Banker, 35 Player, 3 Tie) through 41 column transitions (41 display columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) featuring 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.

Tracking S2-0332 hand by hand confirms max streaks of 4B and 4P (tie indices H22,H45,H47) and Lookback-1 totals of 39 Rule 1, 0 Case 1, 0 Case 2, and 32 Case 3.

Opening 9 Big Road Columns of S2-0332 (Seed 289543)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0332-C1:H1-2S2-0332:2BS2-0332:2B/0P/+0TS2-0332:R2StopS2-0332:2vs2
S2-0332-C2:H3-4S2-0332:2PS2-0332:2B/2P/+0TS2-0332:R2StopS2-0332:2vs2
S2-0332-C3:H5-5S2-0332:1BS2-0332:3B/2P/+0TS2-0332:R1StopS2-0332:1vs2
S2-0332-C4:H6-6S2-0332:1PS2-0332:3B/3P/+0TS2-0332:R1StopS2-0332:1vs1
S2-0332-C5:H7-7S2-0332:1BS2-0332:4B/3P/+0TS2-0332:R1StopS2-0332:1vs1
S2-0332-C6:H8-9S2-0332:2PS2-0332:4B/5P/+0TS2-0332:R2StopS2-0332:2vs1
S2-0332-C7:H10-10S2-0332:1BS2-0332:5B/5P/+0TS2-0332:R1StopS2-0332:1vs2
S2-0332-C8:H11-11S2-0332:1PS2-0332:5B/6P/+0TS2-0332:R1StopS2-0332:1vs1
S2-0332-C9:H12-13S2-0332:2BS2-0332:7B/6P/+0TS2-0332:R2StopS2-0332:2vs1
  • S2-0332 BEB #2 (RED): Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
  • S2-0332 SR #4 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
  • S2-0332 CP #3 (BLUE): This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).
S2-0332 DERIVED-ROAD & NEXT-HAND PROBE

S2-0332 Lookback Audit (31R/40B BEB · 31R/38B SR · 33R/35B CP)

When S2-0332 reaches the cut card, BEB shows 31R/40B (43.7% Red), SR shows 31R/38B (44.9% Red), and CP shows 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.

Probing Hand #78 at the end of S2-0332 via getNextRoadPredictions() yields Banker -> BEB RED, SR RED, CP RED and Player -> BEB BLUE, SR BLUE, CP BLUE; each deal remains statistically independent.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0332 causes a Blue mark on Row 2.
TruthRow 2 in S2-0332 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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