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GMU ANALYTICAL · INDEX PROOF · DR129

Tie Slash Indexing Check — Analytical Coordinate Proof (DR129)

DR129 pairs Tie Slash Indexing Check (Big Road active cell receiving green Tie slash vs Bead Plate cell) with Analytical Modality (Formal Index Notation): learners verify Column index k and depth d_k remain unchanged on a resolved Tie hand, master Tie Non-Advancement Rule on Big Road and Derived Roads, and eliminate adding a new big road circle or derived road mark when a tie occurs.

Drill Reference ID
DR129
Big Road Streaks
8 Cols
Big Eye Boy Total
19 Marks
Small Road Total
16 Dots
Engine-Verified Scoreboard · 22 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P P B B B B P P B P P P P P P B B B P
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = = = = ≠ = = ≠
Small Road = ≠ = ≠ = ≠ ≠ = ≠ = = = ≠ ≠ = ≠
Cockroach Pig = = ≠ = = = ≠ = ≠ = ≠ ≠

DR129 drill board (BBPPPBBBBPPBPPPPPPBBBP): 8 Big Road columns, 19 Big Eye Boy, 16 Small Road, and 12 Cockroach Pig marks.

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Big Eye Boy · 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.

Small Road · Mark #5

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

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

Cockroach Pig · Mark #3

Column 5 has 1 bead. Column 2 has 3 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 3 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

DR129 Target Coordinate
Tie Slash Indexing Check

Big Road active cell receiving green Tie slash vs Bead Plate cell

DR129 Rule Classification
Analytical Coordinate Proof

Tie Non-Advancement Rule on Big Road and Derived Roads

DR129 Depth Comparison
8 Big Road Cols

Column index k and depth d_k remain unchanged on a resolved Tie hand

DR129 Misconception Focus
Diagnostic Check

Adding a new Big Road circle or derived road mark when a Tie occurs

DR129 GMU Modality Goal
Analytical Modality (Formal Index Notation)

Confirm that Ties advance the Bead Plate while leaving derived roads paused by writing out (k, r) and (k-m, r) coordinates to prove the derived output

DR129 · Coordinate & Rule Specification

DR129 Tie Slash Indexing Check: Analytical Coordinate Proof Walkthrough

Under Analytical Coordinate Proof (DR129), Tie Slash Indexing Check isolates Big Road active cell receiving green Tie slash vs Bead Plate cell and Column index k and depth d_k remain unchanged on a resolved Tie hand, turning BBPPPBBBB-PPBPPPPPP into a hands-on 19-mark verification.

Applying Tie Non-Advancement Rule on Big Road and Derived Roads in DR129, This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=). Those 16 Small Road dots and 12 Cockroach Pig slashes accompany Big Road active cell receiving green Tie slash vs Bead Plate cell during writing out (k, r) and (k-m, r) coordinates to prove the derived output.

Table DR129: Tie Slash Indexing Check specification under Analytical Coordinate Proof.
DR129 Drill DimensionCoordinate / RuleGMU Modality Action
DR129 Matrix CoordinateBig Road active cell receiving green Tie slash vs Bead Plate cellAnalytical Modality (Formal Index Notation)
DR129 Rule & DepthTie Non-Advancement Rule on Big Road and Derived RoadsColumn index k and depth d_k remain unchanged on a resolved Tie hand
DR129 Diagnostic TargetAdding a new Big Road circle or derived road mark when a Tie occursConfirm that Ties advance the Bead Plate while leaving derived roads paused
  • DR129 Step 1: Locate Big Road active cell receiving green Tie slash vs Bead Plate cell across the 8 columns of BBPPPBBBBPPB.
  • DR129 Step 2: Verify Column index k and depth d_k remain unchanged on a resolved Tie hand under Tie Non-Advancement Rule on Big Road and Derived Roads.
  • DR129 Step 3: Answer "What are the exact 1-based and 0-based indices for the active comparison?" via writing out (k, r) and (k-m, r) coordinates to prove the derived output.
DR129 · Analytical Modality (Formal Index Notation)

DR129 Misconception Diagnostic & Secondary Road Audit

Inside DR129 (GMU ANALYTICAL · INDEX PROOF), This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=). Every step of Tie Non-Advancement Rule on Big Road and Derived Roads and Column index k and depth d_k remain unchanged on a resolved Tie hand holds across 8 columns.

Table Reality Check

Myth vs. Truth

MythIn DR129 (Tie Slash Indexing Check), adding a new big road circle or derived road mark when a tie occurs or reading red/blue derived marks as Banker/Player outcomes.
TruthTie Non-Advancement Rule on Big Road and Derived Roads evaluates Column index k and depth d_k remain unchanged on a resolved Tie hand; derived road colors reflect structural symmetry only and never alter independent shoe probabilities.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android