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GMU PLAIN-ENGLISH · WALKTHROUGH · DR235

Single-Jump Ping-Pong Run — Plain-English Walkthrough (DR235)

DR235 pairs Single-Jump Ping-Pong Run (Alternating B-P-B-P columns of depth 1 across Big Road cols 1-6) with Plain-English Modality (Jargon-Free Narrative): 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
DR235
Big Road Streaks
12 Cols
Big Eye Boy Total
20 Marks
Small Road Total
18 Dots
Engine-Verified Scoreboard · 24 Hands

Read the Board at Table Speed

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

DR235 drill board (BBPPBPPPBBPPBBBPBBPTBPPP): 12 Big Road columns, 20 Big Eye Boy, 18 Small Road, and 17 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 #5

This bead is at Row 3. Column 3 stopped at Row 1, more than one row above → red (=).

  1. Column 4 goes down to Row 3, so use Rule 2: look 1 column back, at Column 3.
  2. Column 3 stopped at Row 1, more than one row above → red (=).

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.

Small Road · Mark #1

Column 3 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 1, 2 columns further back.
  2. Column 3 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

Cockroach Pig · Mark #1

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

  1. Column 4 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

DR235 Target Coordinate
Single-Jump Ping-Pong Run

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

DR235 Rule Classification
Plain-English Walkthrough

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

DR235 Depth Comparison
12 Big Road Cols

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

DR235 Misconception Focus
Diagnostic Check

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

DR235 GMU Modality Goal
Plain-English Modality (Jargon-Free Narrative)

Understand why B-P-B-P chop generates solid red (=) derived streaks by stating the lookback comparison in everyday words using describeMark()

DR235 · Coordinate & Rule Specification

DR235 Single-Jump Ping-Pong Run: Plain-English Walkthrough Walkthrough

Coordinate exercise DR235 (Single-Jump Ping-Pong Run · Plain-English Walkthrough) checks Alternating B-P-B-P columns of depth 1 across Big Road cols 1-6 over shoe BBPPBPPPBBPPBBBPBB, where 12 streaks generate 20 Big Eye Boy entries.

Analytical checkpoint DR235 (Plain-English Walkthrough) notes: This bead is at Row 3. Column 3 stopped at Row 1, more than one row above → red (=). Those 18 Small Road and 17 Cockroach Pig marks illustrate Rule 1 Depth-1 Parity Producing Red (=) Across Derived Roads in action.

Table DR235: Single-Jump Ping-Pong Run specification under Plain-English Walkthrough.
DR235 Drill DimensionCoordinate / RuleGMU Modality Action
DR235 Matrix CoordinateAlternating B-P-B-P columns of depth 1 across Big Road cols 1-6Plain-English Modality (Jargon-Free Narrative)
DR235 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
DR235 Diagnostic TargetExpecting alternating B/P hands to produce blue marks on derived roadsUnderstand why B-P-B-P chop generates solid red (=) derived streaks
  • DR235 Step 1: Locate Alternating B-P-B-P columns of depth 1 across Big Road cols 1-6 across the 12 columns of BBPPBPPPBBPP.
  • DR235 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.
  • DR235 Step 3: Answer "How do you explain this mark in one clear sentence to a table neighbor?" via stating the lookback comparison in everyday words using describeMark().
DR235 · Plain-English Modality (Jargon-Free Narrative)

DR235 Misconception Diagnostic & Secondary Road Audit

Diagnostic synthesis DR235 (Single-Jump Ping-Pong Run) confirms: Column 3 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠). Throughout all 12 Big Road streaks, red (=) and blue (≠) reflect structure rather than next-hand odds.

Table Reality Check

Myth vs. Truth

MythIn DR235 (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.
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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