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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0345 (SEED 408831)

Triple Block Symmetry S2-0345: 74-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0345 (seed 408831) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 74 hands (39 Banker, 31 Player, 4 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 67 Big Eye Boy marks (31R/36B), 65 Small Road marks (28R/37B), and 64 Cockroach Pig marks (29R/35B).

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Verified 8-Deck Hands
74 (S2-0345)
Outcome Split
39B / 31P / 4T
Longest Streaks
6B · 3P
Big Road Columns
40 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 P B B B B P B P P B P P P B P P B P B B P P P B P B B P B B P P P B B B P B P B B B B B P B P B P B B P B B B B
Big Eye Boy = = ≠ = = ≠ ≠ ≠ = ≠ = = ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = = = ≠ = = ≠ = = = ≠ ≠ = = = = ≠ ≠ = = = ≠ = = = ≠
Small Road ≠ ≠ = ≠ ≠ = ≠ ≠ = = ≠ = ≠ ≠ ≠ = = ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = = = ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ = = = ≠ = ≠ = = = ≠ ≠ ≠ ≠ = ≠ = = = ≠
Cockroach Pig ≠ ≠ ≠ ≠ = = = ≠ = ≠ = = = ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ = = = ≠ = ≠ = ≠ = ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = = = ≠ = = ≠ = = ≠ ≠ ≠ ≠ ≠ = = = = ≠

S2-0345 (seed 408831): 74 hands (39B / 31P / 4T), max streaks 6B & 3P 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)
S2-0345 BEB Mark #7

Column 6 has 2 beads. Column 5 has 1 bead. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 5, 1 column further back.
  2. Column 6 has 2 beads. Column 5 has 1 bead. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 5.

S2-0345 SR Mark #6

Column 7 has 1 bead. Column 5 has 1 bead. Same depth → red (=).

  1. Column 8 starts, so use Rule 1: compare Column 7 with Column 5, 2 columns further back.
  2. Column 7 has 1 bead. Column 5 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 7, the one that just finished, with Column 5.

S2-0345 CP Mark #1

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

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

S2-0345 8-Deck Hand Count
74 Hands (39 Banker / 31 Player / 4 Tie)

Seed 408831 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H64,H67,H71,H74).

S2-0345 Big Road Span & Max Streaks
Max 6B / Max 3P 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.

S2-0345 Big Eye Boy Rule Split
67 Marks (31R / 36B · 46.3% Red Across 32 Cols)

Rule 1: 38 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 29.

S2-0345 Small Road & Cockroach Pig Split
SR: 28R/37B (43.1% Red) · CP: 29R/35B (45.3% Red)

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

S2-0345 Hand #75 Next-Hand Probe
If B -> BEB BLUE, SR BLUE, CP BLUE | If P -> BEB RED, SR RED, CP RED

Verified via getNextRoadPredictions() at Hand #74 of S2-0345.

S2-0345 SCOREBOARD STRUCTURE

S2-0345 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Dealing 74 hands from seed 408831, shoe S2-0345 posts 39 Banker, 31 Player, and 4 Tie outcomes across 40 columns (40 display columns; C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) in 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.

For S2-0345, peak vertical runs of 6B and 3P and tie hands H64,H67,H71,H74 translate into 38 Rule 1, 0 Case 1, 0 Case 2, and 29 Case 3 Big Eye Boy marks.

Opening 9 Big Road Columns of S2-0345 (Seed 408831)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0345-C1:H1-2S2-0345:2BS2-0345:2B/0P/+0TS2-0345:R2StopS2-0345:2vs2
S2-0345-C2:H3-4S2-0345:2PS2-0345:2B/2P/+0TS2-0345:R2StopS2-0345:2vs2
S2-0345-C3:H5-5S2-0345:1BS2-0345:3B/2P/+0TS2-0345:R1StopS2-0345:1vs2
S2-0345-C4:H6-6S2-0345:1PS2-0345:3B/3P/+0TS2-0345:R1StopS2-0345:1vs1
S2-0345-C5:H7-7S2-0345:1BS2-0345:4B/3P/+0TS2-0345:R1StopS2-0345:1vs1
S2-0345-C6:H8-9S2-0345:2PS2-0345:4B/5P/+0TS2-0345:R2StopS2-0345:2vs1
S2-0345-C7:H10-10S2-0345:1BS2-0345:5B/5P/+0TS2-0345:R1StopS2-0345:1vs2
S2-0345-C8:H11-11S2-0345:1PS2-0345:5B/6P/+0TS2-0345:R1StopS2-0345:1vs1
S2-0345-C9:H12-15S2-0345:4BS2-0345:9B/6P/+0TS2-0345:R4StopS2-0345:4vs1
  • S2-0345 BEB #7 (BLUE): Column 6 has 2 beads. Column 5 has 1 bead. Different depth → blue (≠).
  • S2-0345 SR #6 (RED): Column 7 has 1 bead. Column 5 has 1 bead. Same depth → red (=).
  • S2-0345 CP #1 (BLUE): Column 4 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠).
S2-0345 DERIVED-ROAD & NEXT-HAND PROBE

S2-0345 Lookback Audit (31R/36B BEB · 28R/37B SR · 29R/35B CP)

Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats. In S2-0345, Big Eye Boy finishes 31R/36B (46.3% Red), Small Road finishes 28R/37B (43.1% Red), and Cockroach Pig finishes 29R/35B (45.3% Red).

Evaluating getNextRoadPredictions() after Hand #74 in S2-0345 maps Banker on Hand #75 to BEB BLUE, SR BLUE, CP BLUE and Player on Hand #75 to BEB RED, SR RED, CP RED.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0345 causes a Blue mark on Row 2.
TruthRow 2 in S2-0345 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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