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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0330 (SEED 271191)

Triple Block Symmetry S2-0330: 75-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0330 (seed 271191) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 75 hands (42 Banker, 28 Player, 5 Tie). Its 38 logical columns span 38 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) and produce 67 Big Eye Boy marks (32R/35B), 65 Small Road marks (25R/40B), and 64 Cockroach Pig marks (24R/40B).

Verified 8-Deck Hands
75 (S2-0330)
Outcome Split
42B / 28P / 5T
Longest Streaks
4B · 2P
Big Road Columns
38 Cols
Engine-Verified Scoreboard · 75 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 P B B B P B B P B P P B B P B B B B B P B B B P B B P P B B B P B B P P B B P B B B P P B B B B B P P
Big Eye Boy = = ≠ = = ≠ ≠ = = ≠ = ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ = = = = = = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = = ≠ ≠ ≠ ≠ ≠ = = = = ≠ ≠ = = ≠ = ≠ ≠ = ≠ = = ≠ =
Small Road ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = = = ≠ ≠ ≠ ≠ ≠ ≠ = = = = ≠ = ≠ ≠ = = = = = = ≠ ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ = = ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ ≠
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ = = ≠ = ≠ = = ≠ ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ = = = ≠ ≠ ≠ ≠ = ≠ = ≠ = = = ≠ = ≠ = ≠ ≠

S2-0330 (seed 271191): 75 hands (42B / 28P / 5T), max streaks 4B & 2P across 38 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)
S2-0330 BEB Mark #8

This bead is at Row 2. Column 6 has a bead at Row 2 too → red (=).

  1. Column 7 goes down to Row 2, so use Rule 2: look 1 column back, at Column 6.
  2. Column 6 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 6 stopped exactly one row above this bead.

S2-0330 SR Mark #6

This bead is at Row 2. Column 5 stopped at Row 1, one row above → blue (≠).

  1. Column 7 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 5.
  2. Column 5 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 5 stopped exactly one row above this bead.

S2-0330 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

S2-0330 8-Deck Hand Count
75 Hands (42 Banker / 28 Player / 5 Tie)

Seed 271191 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B (ties at H21,H31,H36,H62).

S2-0330 Big Road Span & Max Streaks
Max 4B / Max 2P Across 38 Logical Cols (38 Display Cols)

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

S2-0330 Big Eye Boy Rule Split
67 Marks (32R / 35B · 47.8% Red Across 33 Cols)

Rule 1: 36 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 31.

S2-0330 Small Road & Cockroach Pig Split
SR: 25R/40B (38.5% Red) · CP: 24R/40B (37.5% Red)

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

S2-0330 Hand #76 Next-Hand Probe
If B -> BEB BLUE, SR BLUE, CP BLUE | If P -> BEB RED, SR RED, CP RED

Verified via getNextRoadPredictions() at Hand #75 of S2-0330.

S2-0330 SCOREBOARD STRUCTURE

S2-0330 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B)

Shoe S2-0330 (seed 271191) completes 75 hands (42 Banker / 28 Player / 5 Tie) across 38 columns and 38 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B), demonstrating 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.

Peak runs in S2-0330 reach 4B and 2P (tie positions H21,H31,H36,H62), while Big Eye Boy logs 36 Rule 1 checks, 0 Rule 2 Case 1 checks, 0 Case 2 breaks, and 31 Case 3 overhang marks.

Opening 9 Big Road Columns of S2-0330 (Seed 271191)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0330-C1:H1-2S2-0330:2BS2-0330:2B/0P/+0TS2-0330:R2StopS2-0330:2vs2
S2-0330-C2:H3-4S2-0330:2PS2-0330:2B/2P/+0TS2-0330:R2StopS2-0330:2vs2
S2-0330-C3:H5-5S2-0330:1BS2-0330:3B/2P/+0TS2-0330:R1StopS2-0330:1vs2
S2-0330-C4:H6-6S2-0330:1PS2-0330:3B/3P/+0TS2-0330:R1StopS2-0330:1vs1
S2-0330-C5:H7-7S2-0330:1BS2-0330:4B/3P/+0TS2-0330:R1StopS2-0330:1vs1
S2-0330-C6:H8-9S2-0330:2PS2-0330:4B/5P/+0TS2-0330:R2StopS2-0330:2vs1
S2-0330-C7:H10-11S2-0330:2BS2-0330:6B/5P/+0TS2-0330:R2StopS2-0330:2vs2
S2-0330-C8:H12-12S2-0330:1PS2-0330:6B/6P/+0TS2-0330:R1StopS2-0330:1vs2
S2-0330-C9:H13-13S2-0330:1BS2-0330:7B/6P/+0TS2-0330:R1StopS2-0330:1vs1
  • S2-0330 BEB #8 (RED): This bead is at Row 2. Column 6 has a bead at Row 2 too → red (=).
  • S2-0330 SR #6 (BLUE): This bead is at Row 2. Column 5 stopped at Row 1, one row above → blue (≠).
  • S2-0330 CP #1 (BLUE): Column 4 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠).
S2-0330 DERIVED-ROAD & NEXT-HAND PROBE

S2-0330 Lookback Audit (32R/35B BEB · 25R/40B SR · 24R/40B CP)

Comparing lookback distances k=1, k=2, and k=3 in S2-0330 yields 32R/35B (47.8% Red) on BEB, 25R/40B (38.5% Red) on SR, and 24R/40B (37.5% Red) on CP. Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats.

After 75 hands in S2-0330, testing Hand #76 assigns BEB BLUE, SR BLUE, CP BLUE on a Banker win and BEB RED, SR RED, CP RED on a Player win.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0330 causes a Blue mark on Row 2.
TruthRow 2 in S2-0330 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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