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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0311 (SEED 96847)

Triple Block Symmetry S2-0311: 83-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0311 (seed 96847) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 83 hands (32 Banker, 44 Player, 7 Tie). Its 36 logical columns span 36 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 73 Big Eye Boy marks (35R/38B), 71 Small Road marks (36R/35B), and 70 Cockroach Pig marks (33R/37B).

Verified 8-Deck Hands
83 (S2-0311)
Outcome Split
32B / 44P / 7T
Longest Streaks
4B · 7P
Big Road Columns
36 Cols
Engine-Verified Scoreboard · 83 Hands

Read the Board at Table Speed

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

S2-0311 (seed 96847): 83 hands (32B / 44P / 7T), max streaks 4B & 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)
S2-0311 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.

S2-0311 SR Mark #4

This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 4.
  2. Column 4 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 4 stopped exactly one row above this bead.

S2-0311 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

S2-0311 8-Deck Hand Count
83 Hands (32 Banker / 44 Player / 7 Tie)

Seed 96847 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H17,H19,H21,H27).

S2-0311 Big Road Span & Max Streaks
Max 4B / 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.

S2-0311 Big Eye Boy Rule Split
73 Marks (35R / 38B · 47.9% Red Across 38 Cols)

Rule 1: 34 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 39.

S2-0311 Small Road & Cockroach Pig Split
SR: 36R/35B (50.7% Red) · CP: 33R/37B (47.1% Red)

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

S2-0311 Hand #84 Next-Hand Probe
If B -> BEB BLUE, SR BLUE, CP BLUE | If P -> BEB RED, SR RED, CP RED

Verified via getNextRoadPredictions() at Hand #83 of S2-0311.

S2-0311 SCOREBOARD STRUCTURE

S2-0311 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Over 83 verified hands (32B, 44P, 7T), S2-0311 (seed 96847) populates 36 logical columns (36 display columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) to document 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.

Longest streaks of 4 Banker and 7 Player in S2-0311 (ties at H17,H19,H21,H27) break down on Lookback 1 into 34 new-column checks, 0 covered-row checks, 0 one-past-bottom breaks, and 39 deep overhang marks.

Opening 9 Big Road Columns of S2-0311 (Seed 96847)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0311-C1:H1-2S2-0311:2BS2-0311:2B/0P/+0TS2-0311:R2StopS2-0311:2vs2
S2-0311-C2:H3-4S2-0311:2PS2-0311:2B/2P/+0TS2-0311:R2StopS2-0311:2vs2
S2-0311-C3:H5-5S2-0311:1BS2-0311:3B/2P/+0TS2-0311:R1StopS2-0311:1vs2
S2-0311-C4:H6-6S2-0311:1PS2-0311:3B/3P/+0TS2-0311:R1StopS2-0311:1vs1
S2-0311-C5:H7-7S2-0311:1BS2-0311:4B/3P/+0TS2-0311:R1StopS2-0311:1vs1
S2-0311-C6:H8-9S2-0311:2PS2-0311:4B/5P/+0TS2-0311:R2StopS2-0311:2vs1
S2-0311-C7:H10-10S2-0311:1BS2-0311:5B/5P/+0TS2-0311:R1StopS2-0311:1vs2
S2-0311-C8:H11-13S2-0311:3PS2-0311:5B/8P/+0TS2-0311:R3StopS2-0311:3vs1
S2-0311-C9:H14-19S2-0311:4BS2-0311:9B/8P/+2TS2-0311:R4StopS2-0311:4vs3
  • S2-0311 BEB #5 (RED): Column 5 has 1 bead. Column 4 has 1 bead. Same depth → red (=).
  • S2-0311 SR #4 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
  • S2-0311 CP #2 (BLUE): Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
S2-0311 DERIVED-ROAD & NEXT-HAND PROBE

S2-0311 Lookback Audit (35R/38B BEB · 36R/35B SR · 33R/37B CP)

In shoe S2-0311, Red (=) repeating shares settle at 47.9% on BEB (35R/38B), 50.7% on SR (36R/35B), and 47.1% on CP (33R/37B). Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats.

Cut-card probe #84 for S2-0311 resolves Banker to BEB BLUE / SR BLUE / CP BLUE and Player to BEB RED / SR RED / CP RED using exact Big Road column depths.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0311 causes a Blue mark on Row 2.
TruthRow 2 in S2-0311 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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