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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0335 (SEED 317071)

Triple Block Symmetry S2-0335: 71-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0335 (seed 317071) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 71 hands (38 Banker, 27 Player, 6 Tie). Its 39 logical columns span 39 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B) and produce 62 Big Eye Boy marks (26R/36B), 60 Small Road marks (18R/42B), and 59 Cockroach Pig marks (25R/34B).

Verified 8-Deck Hands
71 (S2-0335)
Outcome Split
38B / 27P / 6T
Longest Streaks
4B · 2P
Big Road Columns
39 Cols
Engine-Verified Scoreboard · 71 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 P P B P P B P B P P B B P P B B P B P B B P P B P B B P B B B P B P B P B B B B P P B B B P B
Big Eye Boy = = ≠ = = ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ = ≠ ≠ = ≠ ≠ ≠ = = ≠ ≠ = = ≠ = ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ = = ≠ ≠ ≠ ≠ = = ≠ = ≠ = ≠ ≠ ≠
Small Road ≠ ≠ = ≠ ≠ ≠ = ≠ = = ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ = ≠ ≠ ≠ = = ≠ ≠
Cockroach Pig ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ = = = ≠ = = ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ = = ≠ ≠ = ≠ = = = ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ = = ≠ = = ≠ = ≠ ≠

S2-0335 (seed 317071): 71 hands (38B / 27P / 6T), max streaks 4B & 2P across 39 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)
S2-0335 BEB Mark #5

Column 5 has 1 bead. Column 4 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 4, 1 column further back.
  2. Column 5 has 1 bead. Column 4 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 4.

S2-0335 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.

S2-0335 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

S2-0335 8-Deck Hand Count
71 Hands (38 Banker / 27 Player / 6 Tie)

Seed 317071 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B (ties at H19,H26,H31,H36).

S2-0335 Big Road Span & Max Streaks
Max 4B / Max 2P Across 39 Logical Cols (39 Display Cols)

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

S2-0335 Big Eye Boy Rule Split
62 Marks (26R / 36B · 41.9% Red Across 34 Cols)

Rule 1: 37 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 25.

S2-0335 Small Road & Cockroach Pig Split
SR: 18R/42B (30.0% Red) · CP: 25R/34B (42.4% Red)

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

S2-0335 Hand #72 Next-Hand Probe
If B -> BEB BLUE, SR RED, CP RED | If P -> BEB RED, SR BLUE, CP BLUE

Verified via getNextRoadPredictions() at Hand #71 of S2-0335.

S2-0335 SCOREBOARD STRUCTURE

S2-0335 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B)

Evaluating S2-0335 (seed 317071) over 71 hands (38B, 27P, 6T) reveals 39 Big Road columns spanning 39 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B) with 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.

Every column transition in S2-0335 (peak 4B/2P, ties H19,H26,H31,H36) contributes to 37 Rule 1, 0 Case 1, 0 Case 2, and 25 Case 3 marks on Big Eye Boy.

Opening 9 Big Road Columns of S2-0335 (Seed 317071)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0335-C1:H1-2S2-0335:2BS2-0335:2B/0P/+0TS2-0335:R2StopS2-0335:2vs2
S2-0335-C2:H3-4S2-0335:2PS2-0335:2B/2P/+0TS2-0335:R2StopS2-0335:2vs2
S2-0335-C3:H5-5S2-0335:1BS2-0335:3B/2P/+0TS2-0335:R1StopS2-0335:1vs2
S2-0335-C4:H6-6S2-0335:1PS2-0335:3B/3P/+0TS2-0335:R1StopS2-0335:1vs1
S2-0335-C5:H7-7S2-0335:1BS2-0335:4B/3P/+0TS2-0335:R1StopS2-0335:1vs1
S2-0335-C6:H8-9S2-0335:2PS2-0335:4B/5P/+0TS2-0335:R2StopS2-0335:2vs1
S2-0335-C7:H10-12S2-0335:3BS2-0335:7B/5P/+0TS2-0335:R3StopS2-0335:3vs2
S2-0335-C8:H13-14S2-0335:2PS2-0335:7B/7P/+0TS2-0335:R2StopS2-0335:2vs3
S2-0335-C9:H15-15S2-0335:1BS2-0335:8B/7P/+0TS2-0335:R1StopS2-0335:1vs2
  • S2-0335 BEB #5 (RED): Column 5 has 1 bead. Column 4 has 1 bead. Same depth → red (=).
  • S2-0335 SR #4 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
  • S2-0335 CP #1 (BLUE): Column 4 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠).
S2-0335 DERIVED-ROAD & NEXT-HAND PROBE

S2-0335 Lookback Audit (26R/36B BEB · 18R/42B SR · 25R/34B CP)

Derived-road totals for S2-0335 reach 26R/36B on Big Eye Boy (41.9% Red), 18R/42B on Small Road (30.0% Red), and 25R/34B on Cockroach Pig (42.4% Red). Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats.

Next-entry verification on S2-0335 (Hand #72) confirms Banker -> BEB BLUE, SR RED, CP RED versus Player -> BEB RED, SR BLUE, CP BLUE; scoreboard probes describe geometry, never card memory.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0335 causes a Blue mark on Row 2.
TruthRow 2 in S2-0335 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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