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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0329 (SEED 262015)

Triple Block Symmetry S2-0329: 69-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0329 (seed 262015) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 69 hands (32 Banker, 32 Player, 5 Tie). Its 31 logical columns span 31 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 61 Big Eye Boy marks (30R/31B), 59 Small Road marks (29R/30B), and 58 Cockroach Pig marks (27R/31B).

Verified 8-Deck Hands
69 (S2-0329)
Outcome Split
32B / 32P / 5T
Longest Streaks
5B · 7P
Big Road Columns
31 Cols
Engine-Verified Scoreboard · 69 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 P B B B B P B B B P B B P P B B P P P B B B B P B P P P P P P B P P P P P P B B P B B B P B
Big Eye Boy = = ≠ = = ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = = = ≠ = ≠ = ≠ = = ≠ = ≠ ≠ = ≠ = = = = ≠ ≠ ≠ = = = = = ≠ = ≠ ≠ ≠ = ≠ ≠
Small Road ≠ ≠ = ≠ ≠ = = = ≠ ≠ ≠ = ≠ = ≠ = = = ≠ = = ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠ = = = ≠ ≠ ≠ ≠ = = = = ≠ = = = = = = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ = ≠ ≠ = = = = ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ = = = ≠ = ≠ = = = = ≠ ≠ = ≠ = = = = = ≠ = ≠ = = = ≠ ≠

S2-0329 (seed 262015): 69 hands (32B / 32P / 5T), max streaks 5B & 7P across 31 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)
S2-0329 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.

S2-0329 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.

S2-0329 CP Mark #5

Column 7 has 1 bead. Column 4 has 1 bead. Same depth → red (=).

  1. Column 8 starts, so use Rule 1: compare Column 7 with Column 4, 3 columns further back.
  2. Column 7 has 1 bead. Column 4 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 7, the one that just finished, with Column 4.

Verified Reference Data

Key Facts & Table Specifications

S2-0329 8-Deck Hand Count
69 Hands (32 Banker / 32 Player / 5 Tie)

Seed 262015 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H15,H33,H35,H41).

S2-0329 Big Road Span & Max Streaks
Max 5B / Max 7P Across 31 Logical Cols (31 Display Cols)

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

S2-0329 Big Eye Boy Rule Split
61 Marks (30R / 31B · 49.2% Red Across 30 Cols)

Rule 1: 29 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 32.

S2-0329 Small Road & Cockroach Pig Split
SR: 29R/30B (49.2% Red) · CP: 27R/31B (46.6% Red)

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

S2-0329 Hand #70 Next-Hand Probe
If B -> BEB BLUE, SR RED, CP BLUE | If P -> BEB RED, SR BLUE, CP RED

Verified via getNextRoadPredictions() at Hand #69 of S2-0329.

S2-0329 SCOREBOARD STRUCTURE

S2-0329 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Walkthrough S2-0329 (seed 262015) examines a three-deep BBB-PPP column blocks testing Lookback-2 parity across 69 verified 8-deck hands (32B, 32P, 5T) arranged into 31 logical columns and 31 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B). Three-row blocks test one Rule 1 new-column comparison and two consecutive Rule 2 Case 1 downward checks per column.

Column depth extremes of 5B and 7P in S2-0329 (tie hands H15,H33,H35,H41) produce 29 Rule 1 entries, 0 Rule 2 Case 1 entries, 0 Case 2 entries, and 32 Case 3 entries on Big Eye Boy.

Opening 9 Big Road Columns of S2-0329 (Seed 262015)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0329-C1:H1-2S2-0329:2BS2-0329:2B/0P/+0TS2-0329:R2StopS2-0329:2vs2
S2-0329-C2:H3-4S2-0329:2PS2-0329:2B/2P/+0TS2-0329:R2StopS2-0329:2vs2
S2-0329-C3:H5-5S2-0329:1BS2-0329:3B/2P/+0TS2-0329:R1StopS2-0329:1vs2
S2-0329-C4:H6-6S2-0329:1PS2-0329:3B/3P/+0TS2-0329:R1StopS2-0329:1vs1
S2-0329-C5:H7-7S2-0329:1BS2-0329:4B/3P/+0TS2-0329:R1StopS2-0329:1vs1
S2-0329-C6:H8-9S2-0329:2PS2-0329:4B/5P/+0TS2-0329:R2StopS2-0329:2vs1
S2-0329-C7:H10-10S2-0329:1BS2-0329:5B/5P/+0TS2-0329:R1StopS2-0329:1vs2
S2-0329-C8:H11-12S2-0329:2PS2-0329:5B/7P/+0TS2-0329:R2StopS2-0329:2vs1
S2-0329-C9:H13-15S2-0329:2BS2-0329:7B/7P/+1TS2-0329:R2StopS2-0329:2vs2
  • S2-0329 BEB #7 (BLUE): Column 6 has 2 beads. Column 5 has 1 bead. Different depth → blue (≠).
  • S2-0329 SR #4 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
  • S2-0329 CP #5 (RED): Column 7 has 1 bead. Column 4 has 1 bead. Same depth → red (=).
S2-0329 DERIVED-ROAD & NEXT-HAND PROBE

S2-0329 Lookback Audit (30R/31B BEB · 29R/30B SR · 27R/31B CP)

Final derived-road splits in S2-0329 are BEB 30R/31B (49.2% Red), SR 29R/30B (49.2% Red), and CP 27R/31B (46.6% Red). Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats.

Running the ?B and ?P probe at Hand #70 of S2-0329 returns BEB BLUE, SR RED, CP BLUE for ?B and BEB RED, SR BLUE, CP RED for ?P.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0329 causes a Blue mark on Row 2.
TruthRow 2 in S2-0329 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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