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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0346 (SEED 418007)

Triple Block Symmetry S2-0346: 80-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0346 (seed 418007) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 80 hands (35 Banker, 43 Player, 2 Tie). Its 36 logical columns span 36 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:6B) and produce 75 Big Eye Boy marks (37R/38B), 73 Small Road marks (40R/33B), and 72 Cockroach Pig marks (40R/32B).

Verified 8-Deck Hands
80 (S2-0346)
Outcome Split
35B / 43P / 2T
Longest Streaks
6B · 6P
Big Road Columns
36 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 B B B B B P B P B P B B P P P B P P P P P B P B P P B P B B B B B B P B B B P P P P P B P P P P P B P P P B B P B B P P P P B P P P
Big Eye Boy = = ≠ = = ≠ ≠ = ≠ = = = ≠ ≠ = = = = ≠ ≠ = ≠ ≠ ≠ ≠ = = = ≠ ≠ = = ≠ ≠ ≠ = ≠ = = = = ≠ ≠ ≠ = = ≠ = = = ≠ = ≠ ≠ ≠ = = = ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ =
Small Road ≠ ≠ = ≠ ≠ ≠ = = = = ≠ ≠ ≠ = = = ≠ ≠ ≠ = ≠ ≠ = = ≠ = ≠ = ≠ = ≠ ≠ = ≠ ≠ = = = = ≠ = = = = ≠ ≠ = = = = ≠ ≠ = = = = ≠ = = = ≠ ≠ ≠ ≠ = = ≠ = = ≠ ≠ = =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ = = = = ≠ = ≠ ≠ = = ≠ ≠ ≠ = ≠ = = ≠ = = ≠ ≠ = ≠ ≠ ≠ = = = ≠ = = = ≠ = ≠ = = ≠ = = = = = = ≠ ≠ ≠ ≠ = = = ≠ = = = ≠ = = ≠ = ≠ = ≠ = = ≠

S2-0346 (seed 418007): 80 hands (35B / 43P / 2T), max streaks 6B & 6P across 36 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)
S2-0346 BEB Mark #8

This bead is at Row 2. Column 6 has a bead at Row 2 too → red (=).

  1. Column 7 goes down to Row 2, so use Rule 2: look 1 column back, at Column 6.
  2. Column 6 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 6 stopped exactly one row above this bead.

S2-0346 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.

S2-0346 CP Mark #2

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

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

S2-0346 8-Deck Hand Count
80 Hands (35 Banker / 43 Player / 2 Tie)

Seed 418007 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:6B (ties at H49,H57).

S2-0346 Big Road Span & Max Streaks
Max 6B / Max 6P Across 36 Logical Cols (36 Display Cols)

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

S2-0346 Big Eye Boy Rule Split
75 Marks (37R / 38B · 49.3% Red Across 37 Cols)

Rule 1: 34 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 41.

S2-0346 Small Road & Cockroach Pig Split
SR: 40R/33B (54.8% Red) · CP: 40R/32B (55.6% Red)

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

S2-0346 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 S2-0346.

S2-0346 SCOREBOARD STRUCTURE

S2-0346 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:6B)

Big Road audit S2-0346 (seed 418007) tracks 80 hands (35 Banker, 43 Player, 2 Tie) through 36 column transitions (36 display columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:6B) 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 S2-0346 hand by hand confirms max streaks of 6B and 6P (tie indices H49,H57) and Lookback-1 totals of 34 Rule 1, 0 Case 1, 0 Case 2, and 41 Case 3.

Opening 9 Big Road Columns of S2-0346 (Seed 418007)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0346-C1:H1-2S2-0346:2BS2-0346:2B/0P/+0TS2-0346:R2StopS2-0346:2vs2
S2-0346-C2:H3-4S2-0346:2PS2-0346:2B/2P/+0TS2-0346:R2StopS2-0346:2vs2
S2-0346-C3:H5-5S2-0346:1BS2-0346:3B/2P/+0TS2-0346:R1StopS2-0346:1vs2
S2-0346-C4:H6-6S2-0346:1PS2-0346:3B/3P/+0TS2-0346:R1StopS2-0346:1vs1
S2-0346-C5:H7-7S2-0346:1BS2-0346:4B/3P/+0TS2-0346:R1StopS2-0346:1vs1
S2-0346-C6:H8-9S2-0346:2PS2-0346:4B/5P/+0TS2-0346:R2StopS2-0346:2vs1
S2-0346-C7:H10-15S2-0346:6BS2-0346:10B/5P/+0TS2-0346:R6StopS2-0346:6vs2
S2-0346-C8:H16-16S2-0346:1PS2-0346:10B/6P/+0TS2-0346:R1StopS2-0346:1vs6
S2-0346-C9:H17-17S2-0346:1BS2-0346:11B/6P/+0TS2-0346:R1StopS2-0346:1vs1
  • S2-0346 BEB #8 (RED): This bead is at Row 2. Column 6 has a bead at Row 2 too → red (=).
  • S2-0346 SR #2 (BLUE): Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0346 CP #2 (BLUE): Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
S2-0346 DERIVED-ROAD & NEXT-HAND PROBE

S2-0346 Lookback Audit (37R/38B BEB · 40R/33B SR · 40R/32B CP)

When S2-0346 reaches the cut card, BEB shows 37R/38B (49.3% Red), SR shows 40R/33B (54.8% Red), and CP shows 40R/32B (55.6% Red). Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats.

Probing Hand #81 at the end of S2-0346 via getNextRoadPredictions() yields Banker -> BEB BLUE, SR BLUE, CP BLUE and Player -> BEB RED, SR RED, CP RED; each deal remains statistically independent.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0346 causes a Blue mark on Row 2.
TruthRow 2 in S2-0346 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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