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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0357 (SEED 518943)

Triple Block Symmetry S2-0357: 68-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0357 (seed 518943) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 68 hands (32 Banker, 28 Player, 8 Tie). Its 33 logical columns span 33 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B) and produce 57 Big Eye Boy marks (32R/25B), 55 Small Road marks (25R/30B), and 54 Cockroach Pig marks (26R/28B).

Verified 8-Deck Hands
68 (S2-0357)
Outcome Split
32B / 28P / 8T
Longest Streaks
7B · 5P
Big Road Columns
33 Cols
Engine-Verified Scoreboard · 68 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 B P P P P P B B B B B P B B P B P B B P P B P B P B B P P B B P P P B B P P B
Big Eye Boy = = ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ = = = ≠ = = = = ≠ = ≠ ≠ = = = = ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ = = ≠ = ≠ = = = = = =
Small Road ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = = ≠ ≠ = = = = = ≠ ≠ ≠ = = = ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = = = = = ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ = ≠ = = =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ = = ≠ = ≠ ≠ = = = = = ≠ = ≠ ≠ = = ≠ ≠ = = = = ≠ ≠ = = = ≠ ≠ ≠ = = = ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠

S2-0357 (seed 518943): 68 hands (32B / 28P / 8T), max streaks 7B & 5P across 33 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)
S2-0357 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.

S2-0357 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.

S2-0357 CP Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 3.
  2. Column 3 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 3 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

S2-0357 8-Deck Hand Count
68 Hands (32 Banker / 28 Player / 8 Tie)

Seed 518943 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B (ties at H23,H34,H37,H42).

S2-0357 Big Road Span & Max Streaks
Max 7B / Max 5P Across 33 Logical Cols (33 Display Cols)

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

S2-0357 Big Eye Boy Rule Split
57 Marks (32R / 25B · 56.1% Red Across 27 Cols)

Rule 1: 31 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 26.

S2-0357 Small Road & Cockroach Pig Split
SR: 25R/30B (45.5% Red) · CP: 26R/28B (48.1% Red)

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

S2-0357 Hand #69 Next-Hand Probe
If B -> BEB RED, SR RED, CP RED | If P -> BEB BLUE, SR BLUE, CP BLUE

Verified via getNextRoadPredictions() at Hand #68 of S2-0357.

S2-0357 SCOREBOARD STRUCTURE

S2-0357 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B)

Walkthrough S2-0357 (seed 518943) examines a three-deep BBB-PPP column blocks testing Lookback-2 parity across 68 verified 8-deck hands (32B, 28P, 8T) arranged into 33 logical columns and 33 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 7B and 5P in S2-0357 (tie hands H23,H34,H37,H42) produce 31 Rule 1 entries, 0 Rule 2 Case 1 entries, 0 Case 2 entries, and 26 Case 3 entries on Big Eye Boy.

Opening 9 Big Road Columns of S2-0357 (Seed 518943)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0357-C1:H1-2S2-0357:2BS2-0357:2B/0P/+0TS2-0357:R2StopS2-0357:2vs2
S2-0357-C2:H3-4S2-0357:2PS2-0357:2B/2P/+0TS2-0357:R2StopS2-0357:2vs2
S2-0357-C3:H5-5S2-0357:1BS2-0357:3B/2P/+0TS2-0357:R1StopS2-0357:1vs2
S2-0357-C4:H6-6S2-0357:1PS2-0357:3B/3P/+0TS2-0357:R1StopS2-0357:1vs1
S2-0357-C5:H7-7S2-0357:1BS2-0357:4B/3P/+0TS2-0357:R1StopS2-0357:1vs1
S2-0357-C6:H8-9S2-0357:2PS2-0357:4B/5P/+0TS2-0357:R2StopS2-0357:2vs1
S2-0357-C7:H10-12S2-0357:3BS2-0357:7B/5P/+0TS2-0357:R3StopS2-0357:3vs2
S2-0357-C8:H13-13S2-0357:1PS2-0357:7B/6P/+0TS2-0357:R1StopS2-0357:1vs3
S2-0357-C9:H14-14S2-0357:1BS2-0357:8B/6P/+0TS2-0357:R1StopS2-0357:1vs1
  • S2-0357 BEB #3 (BLUE): Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0357 SR #6 (BLUE): This bead is at Row 2. Column 5 stopped at Row 1, one row above → blue (≠).
  • S2-0357 CP #3 (BLUE): This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).
S2-0357 DERIVED-ROAD & NEXT-HAND PROBE

S2-0357 Lookback Audit (32R/25B BEB · 25R/30B SR · 26R/28B CP)

Final derived-road splits in S2-0357 are BEB 32R/25B (56.1% Red), SR 25R/30B (45.5% Red), and CP 26R/28B (48.1% 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 #69 of S2-0357 returns BEB RED, SR RED, CP RED for ?B and BEB BLUE, SR BLUE, CP BLUE for ?P.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0357 causes a Blue mark on Row 2.
TruthRow 2 in S2-0357 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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