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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0319 (SEED 170255)

Triple Block Symmetry S2-0319: 80-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0319 (seed 170255) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 80 hands (41 Banker, 34 Player, 5 Tie). Its 40 logical columns span 40 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 72 Big Eye Boy marks (39R/33B), 70 Small Road marks (31R/39B), and 69 Cockroach Pig marks (26R/43B).

Verified 8-Deck Hands
80 (S2-0319)
Outcome Split
41B / 34P / 5T
Longest Streaks
6B · 4P
Big Road Columns
40 Cols
Engine-Verified Scoreboard · 80 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 B P B P B B P P B P B B P B P P P P B P P P B B P P B B P B P B B B B B B P P B B P P B B B P B B B B P P P B B P
Big Eye Boy = = ≠ = = ≠ ≠ ≠ = ≠ = ≠ ≠ = = ≠ ≠ = = = = ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = ≠ = = = = ≠ = = ≠ = = = = ≠ = = ≠ = ≠ = = = ≠ ≠ ≠ ≠ = = ≠ = = = = = ≠
Small Road ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠ = = ≠ = ≠ ≠ = ≠ ≠ ≠ = = = = = ≠ ≠ ≠ ≠ = ≠ = = ≠ ≠ = ≠ = = = = ≠ ≠ = ≠ = ≠ = ≠ = ≠ ≠ ≠ = = ≠ ≠ ≠ = = ≠ = ≠
Cockroach Pig ≠ ≠ ≠ ≠ = = = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠ = ≠ = = ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = = = = ≠ ≠ = ≠ ≠ ≠ = ≠ = = = ≠ = ≠ = ≠ = = ≠ ≠ ≠ ≠

S2-0319 (seed 170255): 80 hands (41B / 34P / 5T), max streaks 6B & 4P across 40 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)
S2-0319 BEB Mark #5

Column 5 has 1 bead. Column 4 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 4, 1 column further back.
  2. Column 5 has 1 bead. Column 4 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 4.

S2-0319 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.

S2-0319 CP Mark #5

Column 7 has 1 bead. Column 4 has 1 bead. Same depth → red (=).

  1. Column 8 starts, so use Rule 1: compare Column 7 with Column 4, 3 columns further back.
  2. Column 7 has 1 bead. Column 4 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 7, the one that just finished, with Column 4.

Verified Reference Data

Key Facts & Table Specifications

S2-0319 8-Deck Hand Count
80 Hands (41 Banker / 34 Player / 5 Tie)

Seed 170255 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H23,H27,H35,H59).

S2-0319 Big Road Span & Max Streaks
Max 6B / Max 4P Across 40 Logical Cols (40 Display Cols)

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

S2-0319 Big Eye Boy Rule Split
72 Marks (39R / 33B · 54.2% Red Across 36 Cols)

Rule 1: 38 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 34.

S2-0319 Small Road & Cockroach Pig Split
SR: 31R/39B (44.3% Red) · CP: 26R/43B (37.7% Red)

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

S2-0319 Hand #81 Next-Hand Probe
If B -> BEB BLUE, SR BLUE, CP BLUE | If P -> BEB RED, SR RED, CP RED

Verified via getNextRoadPredictions() at Hand #80 of S2-0319.

S2-0319 SCOREBOARD STRUCTURE

S2-0319 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Recording 41 Banker wins, 34 Player wins, and 5 Ties over 80 hands, catalog entry S2-0319 (seed 170255) maps 40 logical columns onto 40 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) as 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.

Auditing S2-0319 shows maximum runs of 6B and 4P (ties at H23,H27,H35,H59) alongside 38 Rule 1 checks, 0 Case 1 checks, 0 Case 2 checks, and 34 Case 3 checks.

Opening 9 Big Road Columns of S2-0319 (Seed 170255)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0319-C1:H1-2S2-0319:2BS2-0319:2B/0P/+0TS2-0319:R2StopS2-0319:2vs2
S2-0319-C2:H3-4S2-0319:2PS2-0319:2B/2P/+0TS2-0319:R2StopS2-0319:2vs2
S2-0319-C3:H5-5S2-0319:1BS2-0319:3B/2P/+0TS2-0319:R1StopS2-0319:1vs2
S2-0319-C4:H6-6S2-0319:1PS2-0319:3B/3P/+0TS2-0319:R1StopS2-0319:1vs1
S2-0319-C5:H7-7S2-0319:1BS2-0319:4B/3P/+0TS2-0319:R1StopS2-0319:1vs1
S2-0319-C6:H8-9S2-0319:2PS2-0319:4B/5P/+0TS2-0319:R2StopS2-0319:2vs1
S2-0319-C7:H10-10S2-0319:1BS2-0319:5B/5P/+0TS2-0319:R1StopS2-0319:1vs2
S2-0319-C8:H11-11S2-0319:1PS2-0319:5B/6P/+0TS2-0319:R1StopS2-0319:1vs1
S2-0319-C9:H12-14S2-0319:3BS2-0319:8B/6P/+0TS2-0319:R3StopS2-0319:3vs1
  • S2-0319 BEB #5 (RED): Column 5 has 1 bead. Column 4 has 1 bead. Same depth → red (=).
  • S2-0319 SR #2 (BLUE): Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0319 CP #5 (RED): Column 7 has 1 bead. Column 4 has 1 bead. Same depth → red (=).
S2-0319 DERIVED-ROAD & NEXT-HAND PROBE

S2-0319 Lookback Audit (39R/33B BEB · 31R/39B SR · 26R/43B CP)

On the lower boards of S2-0319, Big Eye Boy marks 39R/33B (54.2% Red), Small Road marks 31R/39B (44.3% Red), and Cockroach Pig marks 26R/43B (37.7% Red). Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats.

Hand #81 projection table for S2-0319: Banker triggers BEB BLUE, SR BLUE, CP BLUE; Player triggers BEB RED, SR RED, CP RED.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0319 causes a Blue mark on Row 2.
TruthRow 2 in S2-0319 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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