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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0310 (SEED 87671)

Triple Block Symmetry S2-0310: 80-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0310 (seed 87671) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 80 hands (37 Banker, 35 Player, 8 Tie). Its 38 logical columns span 38 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 69 Big Eye Boy marks (28R/41B), 67 Small Road marks (32R/35B), and 66 Cockroach Pig marks (37R/29B).

Verified 8-Deck Hands
80 (S2-0310)
Outcome Split
37B / 35P / 8T
Longest Streaks
5B · 4P
Big Road Columns
38 Cols
Engine-Verified Scoreboard · 80 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P B P B P P B P P B B B B P B B B P P P B P B B P P B B P P P B P B P P P P B B P B B P P P P B P B B P B B B B P B B B P
Big Eye Boy = = ≠ = = ≠ ≠ ≠ ≠ ≠ = ≠ = = ≠ ≠ ≠ ≠ ≠ = ≠ = = ≠ ≠ = ≠ ≠ = = = = ≠ ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ = = = ≠ ≠ ≠ = ≠
Small Road ≠ ≠ = ≠ ≠ = = = ≠ = = = ≠ ≠ = ≠ = ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠ ≠ = = ≠ = = ≠ ≠ ≠ = = = = ≠ = ≠ ≠ ≠ ≠ = = ≠ = = ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ = = ≠ = = = ≠
Cockroach Pig ≠ ≠ ≠ ≠ = ≠ ≠ = ≠ = = ≠ = = = ≠ = = ≠ = ≠ = = = ≠ ≠ ≠ ≠ ≠ ≠ = = = = = = ≠ ≠ = = = ≠ = = = = ≠ = ≠ = ≠ = = = = ≠ = = ≠ = = ≠ ≠ ≠ = ≠

S2-0310 (seed 87671): 80 hands (37B / 35P / 8T), max streaks 5B & 4P 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)
S2-0310 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.

S2-0310 SR Mark #2

Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

S2-0310 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

S2-0310 8-Deck Hand Count
80 Hands (37 Banker / 35 Player / 8 Tie)

Seed 87671 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H18,H23,H26,H40).

S2-0310 Big Road Span & Max Streaks
Max 5B / Max 4P 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.

S2-0310 Big Eye Boy Rule Split
69 Marks (28R / 41B · 40.6% Red Across 32 Cols)

Rule 1: 36 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 33.

S2-0310 Small Road & Cockroach Pig Split
SR: 32R/35B (47.8% Red) · CP: 37R/29B (56.1% Red)

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

S2-0310 Hand #81 Next-Hand Probe
If B -> BEB BLUE, SR RED, CP BLUE | If P -> BEB RED, SR BLUE, CP RED

Verified via getNextRoadPredictions() at Hand #80 of S2-0310.

S2-0310 SCOREBOARD STRUCTURE

S2-0310 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Inside shoe S2-0310 (deterministic seed 87671), 80 dealt outcomes split 37 Banker, 35 Player, and 8 Tie across 38 Big Road columns (38 grid columns; opening sequence C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) to illustrate 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.

Across S2-0310, top streaks of 5B and 4P and tie index set H18,H23,H26,H40 yield 36 Rule 1 marks, 0 Case 1 marks, 0 Case 2 marks, and 33 Case 3 marks on Lookback 1.

Opening 9 Big Road Columns of S2-0310 (Seed 87671)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0310-C1:H1-2S2-0310:2BS2-0310:2B/0P/+0TS2-0310:R2StopS2-0310:2vs2
S2-0310-C2:H3-4S2-0310:2PS2-0310:2B/2P/+0TS2-0310:R2StopS2-0310:2vs2
S2-0310-C3:H5-5S2-0310:1BS2-0310:3B/2P/+0TS2-0310:R1StopS2-0310:1vs2
S2-0310-C4:H6-6S2-0310:1PS2-0310:3B/3P/+0TS2-0310:R1StopS2-0310:1vs1
S2-0310-C5:H7-7S2-0310:1BS2-0310:4B/3P/+0TS2-0310:R1StopS2-0310:1vs1
S2-0310-C6:H8-9S2-0310:2PS2-0310:4B/5P/+0TS2-0310:R2StopS2-0310:2vs1
S2-0310-C7:H10-10S2-0310:1BS2-0310:5B/5P/+0TS2-0310:R1StopS2-0310:1vs2
S2-0310-C8:H11-12S2-0310:2PS2-0310:5B/7P/+0TS2-0310:R2StopS2-0310:2vs1
S2-0310-C9:H13-18S2-0310:5BS2-0310:10B/7P/+1TS2-0310:R5StopS2-0310:5vs2
  • S2-0310 BEB #4 (RED): Column 4 has 1 bead. Column 3 has 1 bead. Same depth → red (=).
  • S2-0310 SR #2 (BLUE): Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0310 CP #1 (BLUE): Column 4 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠).
S2-0310 DERIVED-ROAD & NEXT-HAND PROBE

S2-0310 Lookback Audit (28R/41B BEB · 32R/35B SR · 37R/29B CP)

Lookback audit S2-0310 records 28R/41B (40.6% Red) on Big Eye Boy, 32R/35B (47.8% Red) on Small Road, and 37R/29B (56.1% Red) on Cockroach Pig. Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats.

Should S2-0310 deal Hand #81, ?B records BEB BLUE, SR RED, CP BLUE while ?P records BEB RED, SR BLUE, CP RED across the three derived grids.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0310 causes a Blue mark on Row 2.
TruthRow 2 in S2-0310 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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