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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0341 (SEED 372127)

Triple Block Symmetry S2-0341: 84-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0341 (seed 372127) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 84 hands (39 Banker, 38 Player, 7 Tie). Its 34 logical columns span 34 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) and produce 74 Big Eye Boy marks (38R/36B), 72 Small Road marks (34R/38B), and 71 Cockroach Pig marks (34R/37B).

Verified 8-Deck Hands
84 (S2-0341)
Outcome Split
39B / 38P / 7T
Longest Streaks
7B · 5P
Big Road Columns
34 Cols
Engine-Verified Scoreboard · 84 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 P P B B P P P P B P B B B P B B B P B B P P P P B B P P P P B B P B P P B B B B B B P B B B P P B P P B B B B B P P
Big Eye Boy = = ≠ = = ≠ ≠ = = = ≠ ≠ = ≠ = ≠ = ≠ ≠ = ≠ = = ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ = ≠ = ≠ = = ≠ = ≠ ≠ = = = ≠ ≠ = ≠ = = = = ≠ ≠ ≠ ≠ = = ≠ ≠ = = ≠ = = = ≠ ≠ =
Small Road ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ = = = = ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = = ≠ ≠ = ≠ ≠ = = ≠ = = = = = ≠ ≠ = = ≠ ≠ = = ≠ ≠ ≠ = = = = = ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ = = = ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = = = ≠ = ≠ ≠ ≠ = = = = ≠ ≠ ≠ = ≠ ≠ = = = = ≠ ≠ ≠ ≠ = ≠ = = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ = = = = = ≠ = = = = ≠ = = ≠ = ≠ = ≠ = = ≠ ≠

S2-0341 (seed 372127): 84 hands (39B / 38P / 7T), max streaks 7B & 5P across 34 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)
S2-0341 BEB Mark #3

Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

S2-0341 SR Mark #4

This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 2 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.

S2-0341 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

S2-0341 8-Deck Hand Count
84 Hands (39 Banker / 38 Player / 7 Tie)

Seed 372127 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B (ties at H26,H29,H46,H52).

S2-0341 Big Road Span & Max Streaks
Max 7B / Max 5P Across 34 Logical Cols (34 Display Cols)

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

S2-0341 Big Eye Boy Rule Split
74 Marks (38R / 36B · 51.4% Red Across 45 Cols)

Rule 1: 32 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 42.

S2-0341 Small Road & Cockroach Pig Split
SR: 34R/38B (47.2% Red) · CP: 34R/37B (47.9% Red)

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

S2-0341 Hand #85 Next-Hand Probe
If B -> BEB BLUE, SR BLUE, CP BLUE | If P -> BEB RED, SR RED, CP RED

Verified via getNextRoadPredictions() at Hand #84 of S2-0341.

S2-0341 SCOREBOARD STRUCTURE

S2-0341 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B)

With 39B, 38P, and 7T in 84 hands, S2-0341 (seed 372127) builds 34 logical columns across 34 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) to highlight 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.

With ties landing at H26,H29,H46,H52 and streaks peaking at 7B/5P, S2-0341 records 32 Rule 1, 0 Rule 2 Case 1, 0 Case 2, and 42 Case 3 marks on Big Eye Boy.

Opening 9 Big Road Columns of S2-0341 (Seed 372127)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0341-C1:H1-2S2-0341:2BS2-0341:2B/0P/+0TS2-0341:R2StopS2-0341:2vs2
S2-0341-C2:H3-4S2-0341:2PS2-0341:2B/2P/+0TS2-0341:R2StopS2-0341:2vs2
S2-0341-C3:H5-5S2-0341:1BS2-0341:3B/2P/+0TS2-0341:R1StopS2-0341:1vs2
S2-0341-C4:H6-6S2-0341:1PS2-0341:3B/3P/+0TS2-0341:R1StopS2-0341:1vs1
S2-0341-C5:H7-7S2-0341:1BS2-0341:4B/3P/+0TS2-0341:R1StopS2-0341:1vs1
S2-0341-C6:H8-9S2-0341:2PS2-0341:4B/5P/+0TS2-0341:R2StopS2-0341:2vs1
S2-0341-C7:H10-11S2-0341:2BS2-0341:6B/5P/+0TS2-0341:R2StopS2-0341:2vs2
S2-0341-C8:H12-14S2-0341:3PS2-0341:6B/8P/+0TS2-0341:R3StopS2-0341:3vs2
S2-0341-C9:H15-16S2-0341:2BS2-0341:8B/8P/+0TS2-0341:R2StopS2-0341:2vs3
  • S2-0341 BEB #3 (BLUE): Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0341 SR #4 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
  • S2-0341 CP #2 (BLUE): Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
S2-0341 DERIVED-ROAD & NEXT-HAND PROBE

S2-0341 Lookback Audit (38R/36B BEB · 34R/38B SR · 34R/37B CP)

Summarizing S2-0341 across derived roads: BEB prints 38R/36B (51.4% Red), SR prints 34R/38B (47.2% Red), and CP prints 34R/37B (47.9% Red). Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats.

If Hand #85 were dealt in S2-0341, a Banker outcome would mark BEB BLUE / SR BLUE / CP BLUE whereas a Player outcome would mark BEB RED / SR RED / CP RED under deterministic lookback rules.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0341 causes a Blue mark on Row 2.
TruthRow 2 in S2-0341 is still covered by the 3-bead reference column (Red =); the depth mismatch registers on the next column's Row 1 bead.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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