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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0317 (SEED 151903)

Triple Block Symmetry S2-0317: 78-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0317 (seed 151903) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 78 hands (30 Banker, 43 Player, 5 Tie). Its 38 logical columns span 38 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 70 Big Eye Boy marks (32R/38B), 68 Small Road marks (30R/38B), and 67 Cockroach Pig marks (36R/31B).

Verified 8-Deck Hands
78 (S2-0317)
Outcome Split
30B / 43P / 5T
Longest Streaks
4B · 7P
Big Road Columns
38 Cols
Engine-Verified Scoreboard · 78 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 B P B P P P B P B B P P P B P P B B B P P P P P B B P P B P P B P P B P B P P P P P P B P P B B P P B B P
Big Eye Boy = = ≠ = = ≠ ≠ ≠ ≠ = ≠ = = ≠ ≠ ≠ = ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = = ≠ = = ≠ = ≠ ≠ = = = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ = = = = = ≠ ≠ = ≠ ≠ = = = ≠ ≠ =
Small Road ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ = = ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ = ≠ = = = ≠ = ≠ ≠ ≠ = = ≠ ≠ = = = = ≠ = ≠ = = = = = ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ = ≠ = ≠ = ≠ = ≠ = ≠ = = ≠ = = = ≠ ≠ = ≠ = = = = = = ≠ = = = = ≠ = = ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ = = = = = ≠ = = = ≠ ≠ ≠ ≠ = ≠ =

S2-0317 (seed 151903): 78 hands (30B / 43P / 5T), max streaks 4B & 7P across 38 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)
S2-0317 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.

S2-0317 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.

S2-0317 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

S2-0317 8-Deck Hand Count
78 Hands (30 Banker / 43 Player / 5 Tie)

Seed 151903 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H16,H40,H48,H75).

S2-0317 Big Road Span & Max Streaks
Max 4B / Max 7P Across 38 Logical Cols (38 Display Cols)

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

S2-0317 Big Eye Boy Rule Split
70 Marks (32R / 38B · 45.7% Red Across 35 Cols)

Rule 1: 36 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 34.

S2-0317 Small Road & Cockroach Pig Split
SR: 30R/38B (44.1% Red) · CP: 36R/31B (53.7% Red)

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

S2-0317 Hand #79 Next-Hand Probe
If B -> BEB BLUE, SR RED, CP RED | If P -> BEB RED, SR BLUE, CP BLUE

Verified via getNextRoadPredictions() at Hand #78 of S2-0317.

S2-0317 SCOREBOARD STRUCTURE

S2-0317 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Dealing 78 hands from seed 151903, shoe S2-0317 posts 30 Banker, 43 Player, and 5 Tie outcomes across 38 columns (38 display columns; C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) in 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.

For S2-0317, peak vertical runs of 4B and 7P and tie hands H16,H40,H48,H75 translate into 36 Rule 1, 0 Case 1, 0 Case 2, and 34 Case 3 Big Eye Boy marks.

Opening 9 Big Road Columns of S2-0317 (Seed 151903)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0317-C1:H1-2S2-0317:2BS2-0317:2B/0P/+0TS2-0317:R2StopS2-0317:2vs2
S2-0317-C2:H3-4S2-0317:2PS2-0317:2B/2P/+0TS2-0317:R2StopS2-0317:2vs2
S2-0317-C3:H5-5S2-0317:1BS2-0317:3B/2P/+0TS2-0317:R1StopS2-0317:1vs2
S2-0317-C4:H6-6S2-0317:1PS2-0317:3B/3P/+0TS2-0317:R1StopS2-0317:1vs1
S2-0317-C5:H7-7S2-0317:1BS2-0317:4B/3P/+0TS2-0317:R1StopS2-0317:1vs1
S2-0317-C6:H8-9S2-0317:2PS2-0317:4B/5P/+0TS2-0317:R2StopS2-0317:2vs1
S2-0317-C7:H10-10S2-0317:1BS2-0317:5B/5P/+0TS2-0317:R1StopS2-0317:1vs2
S2-0317-C8:H11-13S2-0317:3PS2-0317:5B/8P/+0TS2-0317:R3StopS2-0317:3vs1
S2-0317-C9:H14-18S2-0317:4BS2-0317:9B/8P/+1TS2-0317:R4StopS2-0317:4vs3
  • S2-0317 BEB #3 (BLUE): Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0317 SR #4 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
  • S2-0317 CP #3 (BLUE): This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).
S2-0317 DERIVED-ROAD & NEXT-HAND PROBE

S2-0317 Lookback Audit (32R/38B BEB · 30R/38B SR · 36R/31B CP)

Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats. In S2-0317, Big Eye Boy finishes 32R/38B (45.7% Red), Small Road finishes 30R/38B (44.1% Red), and Cockroach Pig finishes 36R/31B (53.7% Red).

Evaluating getNextRoadPredictions() after Hand #78 in S2-0317 maps Banker on Hand #79 to BEB BLUE, SR RED, CP RED and Player on Hand #79 to BEB RED, SR BLUE, CP BLUE.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0317 causes a Blue mark on Row 2.
TruthRow 2 in S2-0317 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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