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STAGE 2 · TRIPLE BLOCK SYMMETRY · S2-0302 (SEED 14263)

Triple Block Symmetry S2-0302: 76-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0302 (seed 14263) documents a three-deep BBB-PPP column blocks testing Lookback-2 parity over 76 hands (37 Banker, 30 Player, 9 Tie). Its 34 logical columns span 34 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B) and produce 64 Big Eye Boy marks (32R/32B), 62 Small Road marks (26R/36B), and 61 Cockroach Pig marks (34R/27B).

Verified 8-Deck Hands
76 (S2-0302)
Outcome Split
37B / 30P / 9T
Longest Streaks
6B · 3P
Big Road Columns
34 Cols
Engine-Verified Scoreboard · 76 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 B B B B B P P P B P P B B P B B P P P B B B P P P P B P B P B B B P B P P B B P P B P P
Big Eye Boy = = ≠ = = ≠ ≠ = ≠ ≠ ≠ ≠ = = = = ≠ = = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠ = = = ≠ = ≠ = ≠ ≠ = = = ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ = = = ≠ ≠ = ≠ = = =
Small Road ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ = = ≠ = = ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ = = ≠ = ≠ ≠ ≠ = = = ≠ = ≠ ≠ ≠ = ≠ ≠ = = = ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ = ≠ = = ≠ = = = ≠ = = = = = ≠ = ≠ = = = = ≠ ≠ ≠ = ≠ ≠ ≠ = = = = = ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ = = = ≠ ≠ = ≠ = = = = =

S2-0302 (seed 14263): 76 hands (37B / 30P / 9T), max streaks 6B & 3P across 34 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)
S2-0302 BEB Mark #4

Column 4 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 3, 1 column further back.
  2. Column 4 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 3.

S2-0302 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.

S2-0302 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

S2-0302 8-Deck Hand Count
76 Hands (37 Banker / 30 Player / 9 Tie)

Seed 14263 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B (ties at H35,H39,H45,H50).

S2-0302 Big Road Span & Max Streaks
Max 6B / Max 3P Across 34 Logical Cols (34 Display Cols)

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

S2-0302 Big Eye Boy Rule Split
64 Marks (32R / 32B · 50.0% Red Across 33 Cols)

Rule 1: 32 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 32.

S2-0302 Small Road & Cockroach Pig Split
SR: 26R/36B (41.9% Red) · CP: 34R/27B (55.7% Red)

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

S2-0302 Hand #77 Next-Hand Probe
If B -> BEB RED, SR RED, CP BLUE | If P -> BEB BLUE, SR BLUE, CP RED

Verified via getNextRoadPredictions() at Hand #76 of S2-0302.

S2-0302 SCOREBOARD STRUCTURE

S2-0302 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B)

Shoe S2-0302 (seed 14263) completes 76 hands (37 Banker / 30 Player / 9 Tie) across 34 columns and 34 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B), demonstrating 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.

Peak runs in S2-0302 reach 6B and 3P (tie positions H35,H39,H45,H50), while Big Eye Boy logs 32 Rule 1 checks, 0 Rule 2 Case 1 checks, 0 Case 2 breaks, and 32 Case 3 overhang marks.

Opening 9 Big Road Columns of S2-0302 (Seed 14263)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0302-C1:H1-2S2-0302:2BS2-0302:2B/0P/+0TS2-0302:R2StopS2-0302:2vs2
S2-0302-C2:H3-4S2-0302:2PS2-0302:2B/2P/+0TS2-0302:R2StopS2-0302:2vs2
S2-0302-C3:H5-5S2-0302:1BS2-0302:3B/2P/+0TS2-0302:R1StopS2-0302:1vs2
S2-0302-C4:H6-6S2-0302:1PS2-0302:3B/3P/+0TS2-0302:R1StopS2-0302:1vs1
S2-0302-C5:H7-7S2-0302:1BS2-0302:4B/3P/+0TS2-0302:R1StopS2-0302:1vs1
S2-0302-C6:H8-9S2-0302:2PS2-0302:4B/5P/+0TS2-0302:R2StopS2-0302:2vs1
S2-0302-C7:H10-12S2-0302:3BS2-0302:7B/5P/+0TS2-0302:R3StopS2-0302:3vs2
S2-0302-C8:H13-13S2-0302:1PS2-0302:7B/6P/+0TS2-0302:R1StopS2-0302:1vs3
S2-0302-C9:H14-19S2-0302:6BS2-0302:13B/6P/+0TS2-0302:R6StopS2-0302:6vs1
  • S2-0302 BEB #4 (RED): Column 4 has 1 bead. Column 3 has 1 bead. Same depth → red (=).
  • S2-0302 SR #4 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
  • S2-0302 CP #3 (BLUE): This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).
S2-0302 DERIVED-ROAD & NEXT-HAND PROBE

S2-0302 Lookback Audit (32R/32B BEB · 26R/36B SR · 34R/27B CP)

Comparing lookback distances k=1, k=2, and k=3 in S2-0302 yields 32R/32B (50.0% Red) on BEB, 26R/36B (41.9% Red) on SR, and 34R/27B (55.7% Red) on CP. Small Road compares each 3-deep column against the column two steps back, locking into Red (=) whenever 3-bead depth repeats.

After 76 hands in S2-0302, testing Hand #77 assigns BEB RED, SR RED, CP BLUE on a Banker win and BEB BLUE, SR BLUE, CP RED on a Player win.

Table Reality Check

Myth vs. Truth

MythStopping a 3-deep block at 2 beads in S2-0302 causes a Blue mark on Row 2.
TruthRow 2 in S2-0302 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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