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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0340 (SEED 362951)

Triple Block Symmetry S2-0340: 64-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0340 (seed 362951) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 64 hands (28 Banker, 31 Player, 5 Tie). Its 35 logical columns span 35 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 56 Big Eye Boy marks (23R/33B), 54 Small Road marks (24R/30B), and 53 Cockroach Pig marks (22R/31B).

Verified 8-Deck Hands
64 (S2-0340)
Outcome Split
28B / 31P / 5T
Longest Streaks
4B · 4P
Big Road Columns
35 Cols
Engine-Verified Scoreboard · 64 Hands

Read the Board at Table Speed

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

S2-0340 (seed 362951): 64 hands (28B / 31P / 5T), max streaks 4B & 4P across 35 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)
S2-0340 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.

S2-0340 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.

S2-0340 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

S2-0340 8-Deck Hand Count
64 Hands (28 Banker / 31 Player / 5 Tie)

Seed 362951 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H24,H27,H41,H44).

S2-0340 Big Road Span & Max Streaks
Max 4B / Max 4P Across 35 Logical Cols (35 Display Cols)

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

S2-0340 Big Eye Boy Rule Split
56 Marks (23R / 33B · 41.1% Red Across 31 Cols)

Rule 1: 33 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 23.

S2-0340 Small Road & Cockroach Pig Split
SR: 24R/30B (44.4% Red) · CP: 22R/31B (41.5% Red)

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

S2-0340 Hand #65 Next-Hand Probe
If B -> BEB RED, SR RED, CP BLUE | If P -> BEB BLUE, SR BLUE, CP RED

Verified via getNextRoadPredictions() at Hand #64 of S2-0340.

S2-0340 SCOREBOARD STRUCTURE

S2-0340 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

In 8-deck record S2-0340 (seed 362951), 35 logical columns (35 display columns, C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) organize 64 hands (28B, 31P, 5T) 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.

Scoreboard metrics on S2-0340 list 4B and 4P max runs (ties H24,H27,H41,H44) with 33 Rule 1, 0 Case 1, 0 Case 2, and 23 Case 3 Lookback-1 outcomes.

Opening 9 Big Road Columns of S2-0340 (Seed 362951)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0340-C1:H1-2S2-0340:2BS2-0340:2B/0P/+0TS2-0340:R2StopS2-0340:2vs2
S2-0340-C2:H3-4S2-0340:2PS2-0340:2B/2P/+0TS2-0340:R2StopS2-0340:2vs2
S2-0340-C3:H5-5S2-0340:1BS2-0340:3B/2P/+0TS2-0340:R1StopS2-0340:1vs2
S2-0340-C4:H6-6S2-0340:1PS2-0340:3B/3P/+0TS2-0340:R1StopS2-0340:1vs1
S2-0340-C5:H7-7S2-0340:1BS2-0340:4B/3P/+0TS2-0340:R1StopS2-0340:1vs1
S2-0340-C6:H8-9S2-0340:2PS2-0340:4B/5P/+0TS2-0340:R2StopS2-0340:2vs1
S2-0340-C7:H10-10S2-0340:1BS2-0340:5B/5P/+0TS2-0340:R1StopS2-0340:1vs2
S2-0340-C8:H11-12S2-0340:2PS2-0340:5B/7P/+0TS2-0340:R2StopS2-0340:2vs1
S2-0340-C9:H13-16S2-0340:4BS2-0340:9B/7P/+0TS2-0340:R4StopS2-0340:4vs2
  • S2-0340 BEB #2 (RED): Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
  • S2-0340 SR #2 (BLUE): Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0340 CP #1 (BLUE): Column 4 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠).
S2-0340 DERIVED-ROAD & NEXT-HAND PROBE

S2-0340 Lookback Audit (23R/33B BEB · 24R/30B SR · 22R/31B CP)

Across all three derived grids in S2-0340, Lookback 1 posts 23R/33B (41.1% Red), Lookback 2 posts 24R/30B (44.4% Red), and Lookback 3 posts 22R/31B (41.5% Red). Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats.

For hypothetical Hand #65 in S2-0340, Banker produces BEB RED, SR RED, and CP BLUE while Player produces BEB BLUE, SR BLUE, and CP RED, reflecting opposite Rule 1 and Rule 2 branches.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0340 causes a Blue mark on Row 2.
TruthRow 2 in S2-0340 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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