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GMU ANALYTICAL · DEPTH AUDIT · DR240

Single-Jump Ping-Pong Run — Analytical Depth Audit (DR240)

DR240 pairs Single-Jump Ping-Pong Run (Alternating B-P-B-P columns of depth 1 across Big Road cols 1-6) with Analytical Modality (Depth Vector Verification): learners verify Every completed column has d_k = 1, so d_{k-1} == d_{k-1-m} is true, master Rule 1 Depth-1 Parity Producing Red (=) Across Derived Roads, and eliminate expecting alternating b/p hands to produce blue marks on derived roads.

Drill Reference ID
DR240
Big Road Streaks
11 Cols
Big Eye Boy Total
21 Marks
Small Road Total
18 Dots
Engine-Verified Scoreboard · 25 Hands

Read the Board at Table Speed

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

DR240 drill board (PPBBBPPPPBBPBBBBPPBBPBTBP): 11 Big Road columns, 21 Big Eye Boy, 18 Small Road, and 14 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 #4

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

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column 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.

Small Road · Mark #1

This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 2 columns 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.

Cockroach Pig · Mark #2

Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

DR240 Target Coordinate
Single-Jump Ping-Pong Run

Alternating B-P-B-P columns of depth 1 across Big Road cols 1-6

DR240 Rule Classification
Analytical Depth Audit

Rule 1 Depth-1 Parity Producing Red (=) Across Derived Roads

DR240 Depth Comparison
11 Big Road Cols

Every completed column has d_k = 1, so d_{k-1} == d_{k-1-m} is true

DR240 Misconception Focus
Diagnostic Check

Expecting alternating B/P hands to produce blue marks on derived roads

DR240 GMU Modality Goal
Analytical Modality (Depth Vector Verification)

Understand why B-P-B-P chop generates solid red (=) derived streaks by computing the full column-depth vector [d_1, d_2, ..., d_k] across the shoe

DR240 · Coordinate & Rule Specification

DR240 Single-Jump Ping-Pong Run: Analytical Depth Audit Walkthrough

In DR240, Analytical Depth Audit transforms Single-Jump Ping-Pong Run into a repeatable check of Every completed column has d_k = 1, so d_{k-1} == d_{k-1-m} is true, eliminating expecting alternating b/p hands to produce blue marks on derived roads on sequence PPBBBPPPP.

Matrix comparison DR240 under Analytical Depth Audit reads: This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=). With 18 Small Road and 14 Cockroach Pig marks plotted, Every completed column has d_k = 1, so d_{k-1} == d_{k-1-m} is true is verified.

Table DR240: Single-Jump Ping-Pong Run specification under Analytical Depth Audit.
DR240 Drill DimensionCoordinate / RuleGMU Modality Action
DR240 Matrix CoordinateAlternating B-P-B-P columns of depth 1 across Big Road cols 1-6Analytical Modality (Depth Vector Verification)
DR240 Rule & DepthRule 1 Depth-1 Parity Producing Red (=) Across Derived RoadsEvery completed column has d_k = 1, so d_{k-1} == d_{k-1-m} is true
DR240 Diagnostic TargetExpecting alternating B/P hands to produce blue marks on derived roadsUnderstand why B-P-B-P chop generates solid red (=) derived streaks
  • DR240 Step 1: Locate Alternating B-P-B-P columns of depth 1 across Big Road cols 1-6 across the 11 columns of PPBBBPPPPBBP.
  • DR240 Step 2: Verify Every completed column has d_k = 1, so d_{k-1} == d_{k-1-m} is true under Rule 1 Depth-1 Parity Producing Red (=) Across Derived Roads.
  • DR240 Step 3: Answer "How does the depth vector [d_1..d_k] determine all three derived roads?" via computing the full column-depth vector [d_1, d_2, ..., d_k] across the shoe.
DR240 · Analytical Modality (Depth Vector Verification)

DR240 Misconception Diagnostic & Secondary Road Audit

As DR240 concludes for Single-Jump Ping-Pong Run, This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=). Practicing computing the full column-depth vector [d_1, d_2, ..., d_k] across the shoe across 11 streaks answers How does the depth vector [d_1..d_k] determine all three derived roads?

Table Reality Check

Myth vs. Truth

MythIn DR240 (Single-Jump Ping-Pong Run), expecting alternating b/p hands to produce blue marks on derived roads or reading red/blue derived marks as Banker/Player outcomes.
TruthRule 1 Depth-1 Parity Producing Red (=) Across Derived Roads evaluates Every completed column has d_k = 1, so d_{k-1} == d_{k-1-m} is true; 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