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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0304 (SEED 32615)

Triple Block Symmetry S2-0304: 78-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0304 (seed 32615) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 78 hands (40 Banker, 34 Player, 4 Tie). Its 38 logical columns span 38 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) and produce 71 Big Eye Boy marks (30R/41B), 69 Small Road marks (30R/39B), and 68 Cockroach Pig marks (32R/36B).

Verified 8-Deck Hands
78 (S2-0304)
Outcome Split
40B / 34P / 4T
Longest Streaks
4B · 7P
Big Road Columns
38 Cols
Engine-Verified Scoreboard · 78 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 B B B P P P P P B B B P B B P P B B B P B B B P B B P B P P B P B B B B P P B B B B P P P P P P B P P P B P
Big Eye Boy = = ≠ = = ≠ ≠ = = ≠ ≠ ≠ ≠ = = ≠ = ≠ = ≠ ≠ ≠ = ≠ = = ≠ ≠ ≠ ≠ ≠ = = = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ = ≠ = = ≠ = ≠ = ≠ = ≠ = = = ≠ = = ≠ ≠ ≠ ≠ ≠
Small Road ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = = = ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ = = ≠ ≠ = = ≠ = ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ = = = = = ≠ = = = = ≠ ≠ = ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = = = ≠ = ≠ ≠ = ≠ ≠ ≠ = = = = = ≠ = ≠ = = ≠ = ≠ ≠ = ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ = = = = = = ≠ = ≠ ≠ ≠ ≠ = = ≠ = = = ≠ = = ≠ ≠ = ≠ ≠

S2-0304 (seed 32615): 78 hands (40B / 34P / 4T), max streaks 4B & 7P across 38 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)
S2-0304 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.

S2-0304 SR Mark #2

Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

S2-0304 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

S2-0304 8-Deck Hand Count
78 Hands (40 Banker / 34 Player / 4 Tie)

Seed 32615 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B (ties at H14,H25,H30,H46).

S2-0304 Big Road Span & Max Streaks
Max 4B / Max 7P Across 38 Logical Cols (38 Display Cols)

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

S2-0304 Big Eye Boy Rule Split
71 Marks (30R / 41B · 42.3% Red Across 36 Cols)

Rule 1: 36 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 35.

S2-0304 Small Road & Cockroach Pig Split
SR: 30R/39B (43.5% Red) · CP: 32R/36B (47.1% Red)

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

S2-0304 Hand #79 Next-Hand Probe
If B -> BEB RED, SR BLUE, CP RED | If P -> BEB BLUE, SR RED, CP BLUE

Verified via getNextRoadPredictions() at Hand #78 of S2-0304.

S2-0304 SCOREBOARD STRUCTURE

S2-0304 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B)

Big Road audit S2-0304 (seed 32615) tracks 78 hands (40 Banker, 34 Player, 4 Tie) through 38 column transitions (38 display columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) 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 S2-0304 hand by hand confirms max streaks of 4B and 7P (tie indices H14,H25,H30,H46) and Lookback-1 totals of 36 Rule 1, 0 Case 1, 0 Case 2, and 35 Case 3.

Opening 9 Big Road Columns of S2-0304 (Seed 32615)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0304-C1:H1-2S2-0304:2BS2-0304:2B/0P/+0TS2-0304:R2StopS2-0304:2vs2
S2-0304-C2:H3-4S2-0304:2PS2-0304:2B/2P/+0TS2-0304:R2StopS2-0304:2vs2
S2-0304-C3:H5-5S2-0304:1BS2-0304:3B/2P/+0TS2-0304:R1StopS2-0304:1vs2
S2-0304-C4:H6-6S2-0304:1PS2-0304:3B/3P/+0TS2-0304:R1StopS2-0304:1vs1
S2-0304-C5:H7-7S2-0304:1BS2-0304:4B/3P/+0TS2-0304:R1StopS2-0304:1vs1
S2-0304-C6:H8-9S2-0304:2PS2-0304:4B/5P/+0TS2-0304:R2StopS2-0304:2vs1
S2-0304-C7:H10-11S2-0304:2BS2-0304:6B/5P/+0TS2-0304:R2StopS2-0304:2vs2
S2-0304-C8:H12-12S2-0304:1PS2-0304:6B/6P/+0TS2-0304:R1StopS2-0304:1vs2
S2-0304-C9:H13-15S2-0304:2BS2-0304:8B/6P/+1TS2-0304:R2StopS2-0304:2vs1
  • S2-0304 BEB #6 (BLUE): This bead is at Row 2. Column 5 stopped at Row 1, one row above → blue (≠).
  • S2-0304 SR #2 (BLUE): Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0304 CP #5 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
S2-0304 DERIVED-ROAD & NEXT-HAND PROBE

S2-0304 Lookback Audit (30R/41B BEB · 30R/39B SR · 32R/36B CP)

When S2-0304 reaches the cut card, BEB shows 30R/41B (42.3% Red), SR shows 30R/39B (43.5% Red), and CP shows 32R/36B (47.1% Red). Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats.

Probing Hand #79 at the end of S2-0304 via getNextRoadPredictions() yields Banker -> BEB RED, SR BLUE, CP RED and Player -> BEB BLUE, SR RED, CP BLUE; each deal remains statistically independent.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0304 causes a Blue mark on Row 2.
TruthRow 2 in S2-0304 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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