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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0327 (SEED 243663)

Triple Block Symmetry S2-0327: 67-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0327 (seed 243663) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 67 hands (32 Banker, 32 Player, 3 Tie). Its 37 logical columns span 37 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 61 Big Eye Boy marks (36R/25B), 59 Small Road marks (28R/31B), and 58 Cockroach Pig marks (21R/37B).

Verified 8-Deck Hands
67 (S2-0327)
Outcome Split
32B / 32P / 3T
Longest Streaks
5B · 4P
Big Road Columns
37 Cols
Engine-Verified Scoreboard · 67 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 P B B P P B P B P P P P B B B B P P B B P P B P B B P B P B B P P P P B B B B P P P P B P B P B B
Big Eye Boy = = ≠ = = ≠ ≠ ≠ = = ≠ ≠ = = = = ≠ = = = = ≠ = ≠ = = ≠ ≠ = ≠ = = = = ≠ = ≠ ≠ ≠ = = ≠ ≠ = ≠ = ≠ = = = ≠ ≠ = = = ≠ ≠ = = = ≠
Small Road ≠ ≠ = ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ = = = ≠ = ≠ ≠ = = ≠ = ≠ = ≠ = = ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = = ≠ = ≠ = = ≠ = = = = ≠ ≠ = = ≠
Cockroach Pig ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = = = = ≠ ≠ ≠ ≠ = = ≠ ≠ = = = ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠

S2-0327 (seed 243663): 67 hands (32B / 32P / 3T), max streaks 5B & 4P across 37 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)
S2-0327 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.

S2-0327 SR Mark #6

Column 7 has 1 bead. Column 5 has 1 bead. Same depth → red (=).

  1. Column 8 starts, so use Rule 1: compare Column 7 with Column 5, 2 columns further back.
  2. Column 7 has 1 bead. Column 5 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 7, the one that just finished, with Column 5.

S2-0327 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

S2-0327 8-Deck Hand Count
67 Hands (32 Banker / 32 Player / 3 Tie)

Seed 243663 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H14,H25,H57).

S2-0327 Big Road Span & Max Streaks
Max 5B / Max 4P Across 37 Logical Cols (37 Display Cols)

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

S2-0327 Big Eye Boy Rule Split
61 Marks (36R / 25B · 59.0% Red Across 32 Cols)

Rule 1: 35 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 26.

S2-0327 Small Road & Cockroach Pig Split
SR: 28R/31B (47.5% Red) · CP: 21R/37B (36.2% Red)

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

S2-0327 Hand #68 Next-Hand Probe
If B -> BEB RED, SR RED, CP RED | If P -> BEB BLUE, SR BLUE, CP BLUE

Verified via getNextRoadPredictions() at Hand #67 of S2-0327.

S2-0327 SCOREBOARD STRUCTURE

S2-0327 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

With 32B, 32P, and 3T in 67 hands, S2-0327 (seed 243663) builds 37 logical columns across 37 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) 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 H14,H25,H57 and streaks peaking at 5B/4P, S2-0327 records 35 Rule 1, 0 Rule 2 Case 1, 0 Case 2, and 26 Case 3 marks on Big Eye Boy.

Opening 9 Big Road Columns of S2-0327 (Seed 243663)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0327-C1:H1-2S2-0327:2BS2-0327:2B/0P/+0TS2-0327:R2StopS2-0327:2vs2
S2-0327-C2:H3-4S2-0327:2PS2-0327:2B/2P/+0TS2-0327:R2StopS2-0327:2vs2
S2-0327-C3:H5-5S2-0327:1BS2-0327:3B/2P/+0TS2-0327:R1StopS2-0327:1vs2
S2-0327-C4:H6-6S2-0327:1PS2-0327:3B/3P/+0TS2-0327:R1StopS2-0327:1vs1
S2-0327-C5:H7-7S2-0327:1BS2-0327:4B/3P/+0TS2-0327:R1StopS2-0327:1vs1
S2-0327-C6:H8-9S2-0327:2PS2-0327:4B/5P/+0TS2-0327:R2StopS2-0327:2vs1
S2-0327-C7:H10-10S2-0327:1BS2-0327:5B/5P/+0TS2-0327:R1StopS2-0327:1vs2
S2-0327-C8:H11-11S2-0327:1PS2-0327:5B/6P/+0TS2-0327:R1StopS2-0327:1vs1
S2-0327-C9:H12-12S2-0327:1BS2-0327:6B/6P/+0TS2-0327:R1StopS2-0327:1vs1
  • S2-0327 BEB #5 (RED): Column 5 has 1 bead. Column 4 has 1 bead. Same depth → red (=).
  • S2-0327 SR #6 (RED): Column 7 has 1 bead. Column 5 has 1 bead. Same depth → red (=).
  • S2-0327 CP #3 (BLUE): This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).
S2-0327 DERIVED-ROAD & NEXT-HAND PROBE

S2-0327 Lookback Audit (36R/25B BEB · 28R/31B SR · 21R/37B CP)

Summarizing S2-0327 across derived roads: BEB prints 36R/25B (59.0% Red), SR prints 28R/31B (47.5% Red), and CP prints 21R/37B (36.2% Red). Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats.

If Hand #68 were dealt in S2-0327, a Banker outcome would mark BEB RED / SR RED / CP RED whereas a Player outcome would mark BEB BLUE / SR BLUE / CP BLUE under deterministic lookback rules.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0327 causes a Blue mark on Row 2.
TruthRow 2 in S2-0327 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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