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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0309 (SEED 78495)

Triple Block Symmetry S2-0309: 74-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0309 (seed 78495) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 74 hands (39 Banker, 32 Player, 3 Tie). Its 41 logical columns span 41 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:4B) and produce 68 Big Eye Boy marks (37R/31B), 66 Small Road marks (29R/37B), and 65 Cockroach Pig marks (29R/36B).

Verified 8-Deck Hands
74 (S2-0309)
Outcome Split
39B / 32P / 3T
Longest Streaks
5B · 4P
Big Road Columns
41 Cols
Engine-Verified Scoreboard · 74 Hands

Read the Board at Table Speed

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

S2-0309 (seed 78495): 74 hands (39B / 32P / 3T), max streaks 5B & 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)
S2-0309 BEB Mark #3

Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 2, 1 column further back.
  2. Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

S2-0309 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.

S2-0309 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

S2-0309 8-Deck Hand Count
74 Hands (39 Banker / 32 Player / 3 Tie)

Seed 78495 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:4B (ties at H17,H28,H40).

S2-0309 Big Road Span & Max Streaks
Max 5B / 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.

S2-0309 Big Eye Boy Rule Split
68 Marks (37R / 31B · 54.4% Red Across 38 Cols)

Rule 1: 39 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 29.

S2-0309 Small Road & Cockroach Pig Split
SR: 29R/37B (43.9% Red) · CP: 29R/36B (44.6% Red)

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

S2-0309 Hand #75 Next-Hand Probe
If B -> BEB RED, SR BLUE, CP BLUE | If P -> BEB BLUE, SR RED, CP RED

Verified via getNextRoadPredictions() at Hand #74 of S2-0309.

S2-0309 SCOREBOARD STRUCTURE

S2-0309 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:4B)

Seed 78495 generates shoe S2-0309 with 74 total hands (39B/32P/3T), forming 41 logical columns over 41 6-row display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:4B) 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.

In S2-0309, Banker peaks at 5 and Player peaks at 4 (ties: H17,H28,H40), partitioning Big Eye Boy into 39 Rule 1, 0 Case 1, 0 Case 2, and 29 Case 3 decisions.

Opening 9 Big Road Columns of S2-0309 (Seed 78495)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0309-C1:H1-2S2-0309:2BS2-0309:2B/0P/+0TS2-0309:R2StopS2-0309:2vs2
S2-0309-C2:H3-4S2-0309:2PS2-0309:2B/2P/+0TS2-0309:R2StopS2-0309:2vs2
S2-0309-C3:H5-5S2-0309:1BS2-0309:3B/2P/+0TS2-0309:R1StopS2-0309:1vs2
S2-0309-C4:H6-6S2-0309:1PS2-0309:3B/3P/+0TS2-0309:R1StopS2-0309:1vs1
S2-0309-C5:H7-7S2-0309:1BS2-0309:4B/3P/+0TS2-0309:R1StopS2-0309:1vs1
S2-0309-C6:H8-9S2-0309:2PS2-0309:4B/5P/+0TS2-0309:R2StopS2-0309:2vs1
S2-0309-C7:H10-13S2-0309:4BS2-0309:8B/5P/+0TS2-0309:R4StopS2-0309:4vs2
S2-0309-C8:H14-14S2-0309:1PS2-0309:8B/6P/+0TS2-0309:R1StopS2-0309:1vs4
S2-0309-C9:H15-17S2-0309:2BS2-0309:10B/6P/+1TS2-0309:R2StopS2-0309:2vs1
  • S2-0309 BEB #3 (BLUE): Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0309 SR #6 (BLUE): This bead is at Row 2. Column 5 stopped at Row 1, one row above → blue (≠).
  • S2-0309 CP #5 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
S2-0309 DERIVED-ROAD & NEXT-HAND PROBE

S2-0309 Lookback Audit (37R/31B BEB · 29R/37B SR · 29R/36B CP)

Symmetry ratios in S2-0309 stand at 37R:31B (54.4% Red) for Lookback 1, 29R:37B (43.9% Red) for Lookback 2, and 29R:36B (44.6% Red) for Lookback 3. Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats.

Final next-hand audit on S2-0309 at Hand #75 outputs BEB RED, SR BLUE, CP BLUE for Banker and BEB BLUE, SR RED, CP RED for Player.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0309 causes a Blue mark on Row 2.
TruthRow 2 in S2-0309 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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