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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0301 (SEED 5087)

Triple Block Symmetry S2-0301: 73-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0301 (seed 5087) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 73 hands (30 Banker, 37 Player, 6 Tie). Its 36 logical columns span 36 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B) and produce 64 Big Eye Boy marks (35R/29B), 62 Small Road marks (26R/36B), and 61 Cockroach Pig marks (24R/37B).

Verified 8-Deck Hands
73 (S2-0301)
Outcome Split
30B / 37P / 6T
Longest Streaks
3B · 7P
Big Road Columns
36 Cols
Engine-Verified Scoreboard · 73 Hands

Read the Board at Table Speed

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Big Road B B P P B P B P P B B B P B B P B P P P P P B B P P B P B B B P P P P P B P P P B P B B P P B B P P B P P P B P B P P B P
Big Eye Boy = = ≠ = = ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ = ≠ = = = ≠ = ≠ = = ≠ = ≠ = ≠ = = ≠ = = = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = = = = = = ≠ ≠ ≠ = = = = ≠ ≠ = = = ≠ =
Small Road ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ = = = = ≠ ≠ = = = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ = = = = = ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ = = = = = = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ ≠
Cockroach Pig ≠ ≠ ≠ ≠ ≠ = ≠ = = ≠ ≠ ≠ = = = ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = = = = ≠ = = ≠ ≠ = = = ≠ ≠ ≠ ≠ = = = = = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠

S2-0301 (seed 5087): 73 hands (30B / 37P / 6T), max streaks 3B & 7P across 36 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)
S2-0301 BEB Mark #3

Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 2, 1 column further back.
  2. Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

S2-0301 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.

S2-0301 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

S2-0301 8-Deck Hand Count
73 Hands (30 Banker / 37 Player / 6 Tie)

Seed 5087 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B (ties at H17,H40,H56,H68).

S2-0301 Big Road Span & Max Streaks
Max 3B / Max 7P Across 36 Logical Cols (36 Display Cols)

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

S2-0301 Big Eye Boy Rule Split
64 Marks (35R / 29B · 54.7% Red Across 33 Cols)

Rule 1: 34 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 30.

S2-0301 Small Road & Cockroach Pig Split
SR: 26R/36B (41.9% Red) · CP: 24R/37B (39.3% Red)

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

S2-0301 Hand #74 Next-Hand Probe
If B -> BEB RED, SR RED, CP BLUE | If P -> BEB BLUE, SR BLUE, CP RED

Verified via getNextRoadPredictions() at Hand #73 of S2-0301.

S2-0301 SCOREBOARD STRUCTURE

S2-0301 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B)

Walkthrough S2-0301 (seed 5087) examines a three-deep BBB-PPP column blocks testing Lookback-2 parity across 73 verified 8-deck hands (30B, 37P, 6T) arranged into 36 logical columns and 36 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 3B and 7P in S2-0301 (tie hands H17,H40,H56,H68) produce 34 Rule 1 entries, 0 Rule 2 Case 1 entries, 0 Case 2 entries, and 30 Case 3 entries on Big Eye Boy.

Opening 9 Big Road Columns of S2-0301 (Seed 5087)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0301-C1:H1-2S2-0301:2BS2-0301:2B/0P/+0TS2-0301:R2StopS2-0301:2vs2
S2-0301-C2:H3-4S2-0301:2PS2-0301:2B/2P/+0TS2-0301:R2StopS2-0301:2vs2
S2-0301-C3:H5-5S2-0301:1BS2-0301:3B/2P/+0TS2-0301:R1StopS2-0301:1vs2
S2-0301-C4:H6-6S2-0301:1PS2-0301:3B/3P/+0TS2-0301:R1StopS2-0301:1vs1
S2-0301-C5:H7-7S2-0301:1BS2-0301:4B/3P/+0TS2-0301:R1StopS2-0301:1vs1
S2-0301-C6:H8-9S2-0301:2PS2-0301:4B/5P/+0TS2-0301:R2StopS2-0301:2vs1
S2-0301-C7:H10-12S2-0301:3BS2-0301:7B/5P/+0TS2-0301:R3StopS2-0301:3vs2
S2-0301-C8:H13-13S2-0301:1PS2-0301:7B/6P/+0TS2-0301:R1StopS2-0301:1vs3
S2-0301-C9:H14-17S2-0301:3BS2-0301:10B/6P/+1TS2-0301:R3StopS2-0301:3vs1
  • S2-0301 BEB #3 (BLUE): Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0301 SR #2 (BLUE): Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0301 CP #2 (BLUE): Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
S2-0301 DERIVED-ROAD & NEXT-HAND PROBE

S2-0301 Lookback Audit (35R/29B BEB · 26R/36B SR · 24R/37B CP)

Final derived-road splits in S2-0301 are BEB 35R/29B (54.7% Red), SR 26R/36B (41.9% Red), and CP 24R/37B (39.3% 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 S2-0301 returns BEB RED, SR RED, CP BLUE for ?B and BEB BLUE, SR BLUE, CP RED for ?P.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0301 causes a Blue mark on Row 2.
TruthRow 2 in S2-0301 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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