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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0326 (SEED 234487)

Triple Block Symmetry S2-0326: 64-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0326 (seed 234487) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 64 hands (30 Banker, 31 Player, 3 Tie). Its 31 logical columns span 31 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) and produce 58 Big Eye Boy marks (33R/25B), 56 Small Road marks (22R/34B), and 55 Cockroach Pig marks (25R/30B).

Verified 8-Deck Hands
64 (S2-0326)
Outcome Split
30B / 31P / 3T
Longest Streaks
4B · 5P
Big Road Columns
31 Cols
Engine-Verified Scoreboard · 64 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 B P B P P P P P B P P P P B B B P P P B B B P B B P P B P B B P B P B B B B P P P B P B B B
Big Eye Boy = = ≠ = = ≠ ≠ = = ≠ = = = ≠ = = = ≠ = ≠ = ≠ = ≠ = = ≠ = = ≠ ≠ = = ≠ ≠ ≠ ≠ = = ≠ = ≠ ≠ = = ≠ = ≠ = = ≠ = = ≠ ≠ = ≠ =
Small Road ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ = = = ≠ ≠ ≠ = = = ≠ = ≠ ≠ = = = = = = ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = ≠ = = = ≠ ≠ ≠ ≠ = = ≠ = = ≠ = ≠ = ≠ = = ≠ ≠ = ≠ = ≠ = ≠ = = ≠ ≠ = ≠ = ≠ = ≠ ≠ = ≠ = ≠ = =

S2-0326 (seed 234487): 64 hands (30B / 31P / 3T), max streaks 4B & 5P 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)
S2-0326 BEB Mark #4

Column 4 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 3, 1 column further back.
  2. Column 4 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 3.

S2-0326 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.

S2-0326 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

S2-0326 8-Deck Hand Count
64 Hands (30 Banker / 31 Player / 3 Tie)

Seed 234487 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B (ties at H22,H32,H49).

S2-0326 Big Road Span & Max Streaks
Max 4B / Max 5P 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.

S2-0326 Big Eye Boy Rule Split
58 Marks (33R / 25B · 56.9% Red Across 37 Cols)

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

S2-0326 Small Road & Cockroach Pig Split
SR: 22R/34B (39.3% Red) · CP: 25R/30B (45.5% Red)

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

S2-0326 Hand #65 Next-Hand Probe
If B -> BEB RED, SR RED, CP BLUE | If P -> BEB BLUE, SR BLUE, CP RED

Verified via getNextRoadPredictions() at Hand #64 of S2-0326.

S2-0326 SCOREBOARD STRUCTURE

S2-0326 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B)

In 8-deck record S2-0326 (seed 234487), 31 logical columns (31 display columns, C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) organize 64 hands (30B, 31P, 3T) 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.

Scoreboard metrics on S2-0326 list 4B and 5P max runs (ties H22,H32,H49) with 29 Rule 1, 0 Case 1, 0 Case 2, and 29 Case 3 Lookback-1 outcomes.

Opening 9 Big Road Columns of S2-0326 (Seed 234487)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0326-C1:H1-2S2-0326:2BS2-0326:2B/0P/+0TS2-0326:R2StopS2-0326:2vs2
S2-0326-C2:H3-4S2-0326:2PS2-0326:2B/2P/+0TS2-0326:R2StopS2-0326:2vs2
S2-0326-C3:H5-5S2-0326:1BS2-0326:3B/2P/+0TS2-0326:R1StopS2-0326:1vs2
S2-0326-C4:H6-6S2-0326:1PS2-0326:3B/3P/+0TS2-0326:R1StopS2-0326:1vs1
S2-0326-C5:H7-7S2-0326:1BS2-0326:4B/3P/+0TS2-0326:R1StopS2-0326:1vs1
S2-0326-C6:H8-9S2-0326:2PS2-0326:4B/5P/+0TS2-0326:R2StopS2-0326:2vs1
S2-0326-C7:H10-11S2-0326:2BS2-0326:6B/5P/+0TS2-0326:R2StopS2-0326:2vs2
S2-0326-C8:H12-12S2-0326:1PS2-0326:6B/6P/+0TS2-0326:R1StopS2-0326:1vs2
S2-0326-C9:H13-13S2-0326:1BS2-0326:7B/6P/+0TS2-0326:R1StopS2-0326:1vs1
  • S2-0326 BEB #4 (RED): Column 4 has 1 bead. Column 3 has 1 bead. Same depth → red (=).
  • S2-0326 SR #4 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
  • S2-0326 CP #2 (BLUE): Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
S2-0326 DERIVED-ROAD & NEXT-HAND PROBE

S2-0326 Lookback Audit (33R/25B BEB · 22R/34B SR · 25R/30B CP)

Across all three derived grids in S2-0326, Lookback 1 posts 33R/25B (56.9% Red), Lookback 2 posts 22R/34B (39.3% Red), and Lookback 3 posts 25R/30B (45.5% Red). Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats.

For hypothetical Hand #65 in S2-0326, Banker produces BEB RED, SR RED, and CP BLUE while Player produces BEB BLUE, SR BLUE, and CP RED, reflecting opposite Rule 1 and Rule 2 branches.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0326 causes a Blue mark on Row 2.
TruthRow 2 in S2-0326 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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