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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0315 (SEED 133551)

Triple Block Symmetry S2-0315: 73-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0315 (seed 133551) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 73 hands (40 Banker, 27 Player, 6 Tie). Its 30 logical columns span 30 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B) and produce 64 Big Eye Boy marks (31R/33B), 62 Small Road marks (34R/28B), and 61 Cockroach Pig marks (29R/32B).

Verified 8-Deck Hands
73 (S2-0315)
Outcome Split
40B / 27P / 6T
Longest Streaks
5B · 4P
Big Road Columns
30 Cols
Engine-Verified Scoreboard · 73 Hands

Read the Board at Table Speed

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

S2-0315 (seed 133551): 73 hands (40B / 27P / 6T), max streaks 5B & 4P across 30 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)
S2-0315 BEB Mark #1

This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).

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

S2-0315 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.

S2-0315 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

S2-0315 8-Deck Hand Count
73 Hands (40 Banker / 27 Player / 6 Tie)

Seed 133551 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B (ties at H23,H31,H37,H48).

S2-0315 Big Road Span & Max Streaks
Max 5B / Max 4P Across 30 Logical Cols (30 Display Cols)

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

S2-0315 Big Eye Boy Rule Split
64 Marks (31R / 33B · 48.4% Red Across 31 Cols)

Rule 1: 28 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 36.

S2-0315 Small Road & Cockroach Pig Split
SR: 34R/28B (54.8% Red) · CP: 29R/32B (47.5% Red)

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

S2-0315 Hand #74 Next-Hand Probe
If B -> BEB BLUE, SR BLUE, CP BLUE | If P -> BEB RED, SR RED, CP RED

Verified via getNextRoadPredictions() at Hand #73 of S2-0315.

S2-0315 SCOREBOARD STRUCTURE

S2-0315 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B)

Walkthrough S2-0315 (seed 133551) examines a three-deep BBB-PPP column blocks testing Lookback-2 parity across 73 verified 8-deck hands (40B, 27P, 6T) arranged into 30 logical columns and 30 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B). 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 4P in S2-0315 (tie hands H23,H31,H37,H48) produce 28 Rule 1 entries, 0 Rule 2 Case 1 entries, 0 Case 2 entries, and 36 Case 3 entries on Big Eye Boy.

Opening 9 Big Road Columns of S2-0315 (Seed 133551)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0315-C1:H1-2S2-0315:2BS2-0315:2B/0P/+0TS2-0315:R2StopS2-0315:2vs2
S2-0315-C2:H3-4S2-0315:2PS2-0315:2B/2P/+0TS2-0315:R2StopS2-0315:2vs2
S2-0315-C3:H5-5S2-0315:1BS2-0315:3B/2P/+0TS2-0315:R1StopS2-0315:1vs2
S2-0315-C4:H6-6S2-0315:1PS2-0315:3B/3P/+0TS2-0315:R1StopS2-0315:1vs1
S2-0315-C5:H7-7S2-0315:1BS2-0315:4B/3P/+0TS2-0315:R1StopS2-0315:1vs1
S2-0315-C6:H8-9S2-0315:2PS2-0315:4B/5P/+0TS2-0315:R2StopS2-0315:2vs1
S2-0315-C7:H10-12S2-0315:3BS2-0315:7B/5P/+0TS2-0315:R3StopS2-0315:3vs2
S2-0315-C8:H13-16S2-0315:4PS2-0315:7B/9P/+0TS2-0315:R4StopS2-0315:4vs3
S2-0315-C9:H17-17S2-0315:1BS2-0315:8B/9P/+0TS2-0315:R1StopS2-0315:1vs4
  • S2-0315 BEB #1 (RED): This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).
  • S2-0315 SR #6 (BLUE): This bead is at Row 2. Column 5 stopped at Row 1, one row above → blue (≠).
  • S2-0315 CP #1 (BLUE): Column 4 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠).
S2-0315 DERIVED-ROAD & NEXT-HAND PROBE

S2-0315 Lookback Audit (31R/33B BEB · 34R/28B SR · 29R/32B CP)

Final derived-road splits in S2-0315 are BEB 31R/33B (48.4% Red), SR 34R/28B (54.8% Red), and CP 29R/32B (47.5% 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 #74 of S2-0315 returns BEB BLUE, SR BLUE, CP BLUE for ?B and BEB RED, SR RED, CP RED for ?P.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0315 causes a Blue mark on Row 2.
TruthRow 2 in S2-0315 is still covered by the 3-bead reference column (Red =); the depth mismatch registers on the next column's Row 1 bead.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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