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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0337 (SEED 335423)

Triple Block Symmetry S2-0337: 73-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0337 (seed 335423) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 73 hands (36 Banker, 33 Player, 4 Tie). Its 33 logical columns span 33 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 66 Big Eye Boy marks (32R/34B), 64 Small Road marks (36R/28B), and 63 Cockroach Pig marks (29R/34B).

Verified 8-Deck Hands
73 (S2-0337)
Outcome Split
36B / 33P / 4T
Longest Streaks
7B · 4P
Big Road Columns
33 Cols
Engine-Verified Scoreboard · 73 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 P B B B B B B P B B P P B B P B P B B P P B B P P P B B P B P P P P B P P P P B B B P P B B P P P B B B
Big Eye Boy = = ≠ = = ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ = = = = = ≠ ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = = = = = ≠ ≠ ≠ = ≠ ≠ = ≠ = = ≠ ≠ ≠ = = ≠ = = ≠ = ≠ = = = ≠ ≠ = =
Small Road ≠ ≠ = ≠ ≠ = = = ≠ ≠ ≠ = ≠ = = = = ≠ = = ≠ ≠ = ≠ = = ≠ = = = = = ≠ ≠ = = = ≠ ≠ = = ≠ ≠ ≠ = = ≠ = = = = = ≠ = ≠ = ≠ = ≠ = ≠ ≠ = ≠
Cockroach Pig ≠ ≠ ≠ ≠ = ≠ ≠ = = = = ≠ = = = = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ ≠ = = ≠ ≠ = ≠ = ≠ = ≠ = = ≠ = = ≠ ≠ ≠ = ≠ = = = = ≠

S2-0337 (seed 335423): 73 hands (36B / 33P / 4T), max streaks 7B & 4P across 33 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)
S2-0337 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.

S2-0337 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.

S2-0337 CP Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 3.
  2. Column 3 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 3 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

S2-0337 8-Deck Hand Count
73 Hands (36 Banker / 33 Player / 4 Tie)

Seed 335423 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H13,H26,H29,H37).

S2-0337 Big Road Span & Max Streaks
Max 7B / Max 4P Across 33 Logical Cols (33 Display Cols)

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

S2-0337 Big Eye Boy Rule Split
66 Marks (32R / 34B · 48.5% Red Across 29 Cols)

Rule 1: 31 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 35.

S2-0337 Small Road & Cockroach Pig Split
SR: 36R/28B (56.3% Red) · CP: 29R/34B (46.0% Red)

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

S2-0337 Hand #74 Next-Hand Probe
If B -> BEB BLUE, SR RED, CP RED | If P -> BEB RED, SR BLUE, CP BLUE

Verified via getNextRoadPredictions() at Hand #73 of S2-0337.

S2-0337 SCOREBOARD STRUCTURE

S2-0337 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Seed 335423 generates shoe S2-0337 with 73 total hands (36B/33P/4T), forming 33 logical columns over 33 6-row display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) 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.

In S2-0337, Banker peaks at 7 and Player peaks at 4 (ties: H13,H26,H29,H37), partitioning Big Eye Boy into 31 Rule 1, 0 Case 1, 0 Case 2, and 35 Case 3 decisions.

Opening 9 Big Road Columns of S2-0337 (Seed 335423)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0337-C1:H1-2S2-0337:2BS2-0337:2B/0P/+0TS2-0337:R2StopS2-0337:2vs2
S2-0337-C2:H3-4S2-0337:2PS2-0337:2B/2P/+0TS2-0337:R2StopS2-0337:2vs2
S2-0337-C3:H5-5S2-0337:1BS2-0337:3B/2P/+0TS2-0337:R1StopS2-0337:1vs2
S2-0337-C4:H6-6S2-0337:1PS2-0337:3B/3P/+0TS2-0337:R1StopS2-0337:1vs1
S2-0337-C5:H7-7S2-0337:1BS2-0337:4B/3P/+0TS2-0337:R1StopS2-0337:1vs1
S2-0337-C6:H8-9S2-0337:2PS2-0337:4B/5P/+0TS2-0337:R2StopS2-0337:2vs1
S2-0337-C7:H10-10S2-0337:1BS2-0337:5B/5P/+0TS2-0337:R1StopS2-0337:1vs2
S2-0337-C8:H11-13S2-0337:2PS2-0337:5B/7P/+1TS2-0337:R2StopS2-0337:2vs1
S2-0337-C9:H14-15S2-0337:2BS2-0337:7B/7P/+0TS2-0337:R2StopS2-0337:2vs2
  • S2-0337 BEB #7 (BLUE): Column 6 has 2 beads. Column 5 has 1 bead. Different depth → blue (≠).
  • S2-0337 SR #2 (BLUE): Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0337 CP #3 (BLUE): This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).
S2-0337 DERIVED-ROAD & NEXT-HAND PROBE

S2-0337 Lookback Audit (32R/34B BEB · 36R/28B SR · 29R/34B CP)

Symmetry ratios in S2-0337 stand at 32R:34B (48.5% Red) for Lookback 1, 36R:28B (56.3% Red) for Lookback 2, and 29R:34B (46.0% Red) for Lookback 3. Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats.

Final next-hand audit on S2-0337 at Hand #74 outputs BEB BLUE, SR RED, CP RED for Banker and BEB RED, SR BLUE, CP BLUE for Player.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0337 causes a Blue mark on Row 2.
TruthRow 2 in S2-0337 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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