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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0323 (SEED 206959)

Triple Block Symmetry S2-0323: 77-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0323 (seed 206959) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 77 hands (39 Banker, 32 Player, 6 Tie). Its 37 logical columns span 37 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:5B) and produce 68 Big Eye Boy marks (35R/33B), 66 Small Road marks (37R/29B), and 65 Cockroach Pig marks (31R/34B).

Verified 8-Deck Hands
77 (S2-0323)
Outcome Split
39B / 32P / 6T
Longest Streaks
6B · 5P
Big Road Columns
37 Cols
Engine-Verified Scoreboard · 77 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 B B P B B B B P P P B B P P P P B P P P P B B P B P B P B B P P B P P B B B B B B P B B B B B B P B B P B
Big Eye Boy = = ≠ = = ≠ ≠ = ≠ = = ≠ ≠ ≠ ≠ ≠ = = = ≠ = ≠ = ≠ = ≠ = = ≠ ≠ ≠ = = ≠ ≠ = = = = = = ≠ ≠ = = = ≠ ≠ = ≠ = = ≠ = = ≠ ≠ ≠ = = = = ≠ ≠ ≠ ≠ ≠ ≠
Small Road ≠ ≠ = ≠ ≠ ≠ = = = ≠ ≠ = ≠ = ≠ = = ≠ = ≠ ≠ ≠ = = ≠ = ≠ ≠ = = = ≠ = ≠ = = = = = = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ = = = = ≠ ≠ = = = = = = ≠ = = = =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ = = = ≠ = = = ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠ = = = ≠ ≠ = ≠ = ≠ ≠ = ≠ = = = = = ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ = = = ≠ = = = ≠ = = ≠ ≠ ≠ ≠ ≠ ≠

S2-0323 (seed 206959): 77 hands (39B / 32P / 6T), max streaks 6B & 5P across 37 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)
S2-0323 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.

S2-0323 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.

S2-0323 CP Mark #4

Column 6 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

S2-0323 8-Deck Hand Count
77 Hands (39 Banker / 32 Player / 6 Tie)

Seed 206959 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:5B (ties at H19,H22,H33,H42).

S2-0323 Big Road Span & Max Streaks
Max 6B / Max 5P Across 37 Logical Cols (37 Display Cols)

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

S2-0323 Big Eye Boy Rule Split
68 Marks (35R / 33B · 51.5% Red Across 32 Cols)

Rule 1: 35 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 33.

S2-0323 Small Road & Cockroach Pig Split
SR: 37R/29B (56.1% Red) · CP: 31R/34B (47.7% Red)

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

S2-0323 Hand #78 Next-Hand Probe
If B -> BEB RED, SR BLUE, CP RED | If P -> BEB BLUE, SR RED, CP BLUE

Verified via getNextRoadPredictions() at Hand #77 of S2-0323.

S2-0323 SCOREBOARD STRUCTURE

S2-0323 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:5B)

Seed 206959 generates shoe S2-0323 with 77 total hands (39B/32P/6T), forming 37 logical columns over 37 6-row display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:5B) around 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.

In S2-0323, Banker peaks at 6 and Player peaks at 5 (ties: H19,H22,H33,H42), partitioning Big Eye Boy into 35 Rule 1, 0 Case 1, 0 Case 2, and 33 Case 3 decisions.

Opening 9 Big Road Columns of S2-0323 (Seed 206959)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0323-C1:H1-2S2-0323:2BS2-0323:2B/0P/+0TS2-0323:R2StopS2-0323:2vs2
S2-0323-C2:H3-4S2-0323:2PS2-0323:2B/2P/+0TS2-0323:R2StopS2-0323:2vs2
S2-0323-C3:H5-5S2-0323:1BS2-0323:3B/2P/+0TS2-0323:R1StopS2-0323:1vs2
S2-0323-C4:H6-6S2-0323:1PS2-0323:3B/3P/+0TS2-0323:R1StopS2-0323:1vs1
S2-0323-C5:H7-7S2-0323:1BS2-0323:4B/3P/+0TS2-0323:R1StopS2-0323:1vs1
S2-0323-C6:H8-9S2-0323:2PS2-0323:4B/5P/+0TS2-0323:R2StopS2-0323:2vs1
S2-0323-C7:H10-14S2-0323:5BS2-0323:9B/5P/+0TS2-0323:R5StopS2-0323:5vs2
S2-0323-C8:H15-15S2-0323:1PS2-0323:9B/6P/+0TS2-0323:R1StopS2-0323:1vs5
S2-0323-C9:H16-17S2-0323:2BS2-0323:11B/6P/+0TS2-0323:R2StopS2-0323:2vs1
  • S2-0323 BEB #1 (RED): This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).
  • S2-0323 SR #4 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
  • S2-0323 CP #4 (BLUE): Column 6 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).
S2-0323 DERIVED-ROAD & NEXT-HAND PROBE

S2-0323 Lookback Audit (35R/33B BEB · 37R/29B SR · 31R/34B CP)

Symmetry ratios in S2-0323 stand at 35R:33B (51.5% Red) for Lookback 1, 37R:29B (56.1% Red) for Lookback 2, and 31R:34B (47.7% Red) for Lookback 3. Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats.

Final next-hand audit on S2-0323 at Hand #78 outputs BEB RED, SR BLUE, CP RED for Banker and BEB BLUE, SR RED, CP BLUE for Player.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0323 causes a Blue mark on Row 2.
TruthRow 2 in S2-0323 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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