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GMU PLAIN-ENGLISH · DIAGNOSTIC · DR266

Period-3 Cockroach Alignment — Plain-English Myth Check (DR266)

DR266 pairs Period-3 Cockroach Alignment (Big Road depths [3, 1, 2, 3, 1] evaluated at three-column lookback m=3) with Plain-English Modality (Misconception Repair): learners verify Column 4 depth d_4=3 matches Column 1 depth d_1=3 at lookback m=3, master Cockroach Pig Three-Column Periodicity Check (m=3), and eliminate checking adjacent columns when auditing cockroach pig diagonal slashes.

Drill Reference ID
DR266
Big Road Streaks
11 Cols
Big Eye Boy Total
20 Marks
Small Road Total
18 Dots
Engine-Verified Scoreboard · 23 Hands

Read the Board at Table Speed

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

DR266 drill board (PPBBPBBBPPBBPPPBBBPPPBP): 11 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 #6

Column 4 has 3 beads. Column 3 has 1 bead. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 3, 1 column further back.
  2. Column 4 has 3 beads. Column 3 has 1 bead. Different depth → blue (≠).

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

Small Road · Mark #2

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 #4

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

DR266 Target Coordinate
Period-3 Cockroach Alignment

Big Road depths [3, 1, 2, 3, 1] evaluated at three-column lookback m=3

DR266 Rule Classification
Plain-English Myth Check

Cockroach Pig Three-Column Periodicity Check (m=3)

DR266 Depth Comparison
11 Big Road Cols

Column 4 depth d_4=3 matches Column 1 depth d_1=3 at lookback m=3

DR266 Misconception Focus
Diagnostic Check

Checking adjacent columns when auditing Cockroach Pig diagonal slashes

DR266 GMU Modality Goal
Plain-English Modality (Misconception Repair)

Count back three full Big Road columns to verify Cockroach Pig parity by replacing common floor superstitions with verifiable scoreboard rules

DR266 · Coordinate & Rule Specification

DR266 Period-3 Cockroach Alignment: Plain-English Myth Check Walkthrough

Verification lab DR266 pairs Plain-English Myth Check with Period-3 Cockroach Alignment so students test Big Road depths [3, 1, 2, 3, 1] evaluated at three-column lookback m=3 and answer: Which common table myth fails when checked against this exact coordinate?

Scoreboard inspection DR266 (Period-3 Cockroach Alignment · Plain-English Myth Check) shows: Column 4 has 3 beads. Column 3 has 1 bead. Different depth → blue (≠). Tracking 18 Small Road and 17 Cockroach Pig marks answers Which common table myth fails when checked against this exact coordinate?

Table DR266: Period-3 Cockroach Alignment specification under Plain-English Myth Check.
DR266 Drill DimensionCoordinate / RuleGMU Modality Action
DR266 Matrix CoordinateBig Road depths [3, 1, 2, 3, 1] evaluated at three-column lookback m=3Plain-English Modality (Misconception Repair)
DR266 Rule & DepthCockroach Pig Three-Column Periodicity Check (m=3)Column 4 depth d_4=3 matches Column 1 depth d_1=3 at lookback m=3
DR266 Diagnostic TargetChecking adjacent columns when auditing Cockroach Pig diagonal slashesCount back three full Big Road columns to verify Cockroach Pig parity
  • DR266 Step 1: Locate Big Road depths [3, 1, 2, 3, 1] evaluated at three-column lookback m=3 across the 11 columns of PPBBPBBBPPBB.
  • DR266 Step 2: Verify Column 4 depth d_4=3 matches Column 1 depth d_1=3 at lookback m=3 under Cockroach Pig Three-Column Periodicity Check (m=3).
  • DR266 Step 3: Answer "Which common table myth fails when checked against this exact coordinate?" via replacing common floor superstitions with verifiable scoreboard rules.
DR266 · Plain-English Modality (Misconception Repair)

DR266 Misconception Diagnostic & Secondary Road Audit

Second-lookback check DR266 states: This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=). By replacing common floor superstitions with verifiable scoreboard rules, learners master Period-3 Cockroach Alignment and Column 4 depth d_4=3 matches Column 1 depth d_1=3 at lookback m=3 over 11 columns.

Table Reality Check

Myth vs. Truth

MythIn DR266 (Period-3 Cockroach Alignment), checking adjacent columns when auditing cockroach pig diagonal slashes or reading red/blue derived marks as Banker/Player outcomes.
TruthCockroach Pig Three-Column Periodicity Check (m=3) evaluates Column 4 depth d_4=3 matches Column 1 depth d_1=3 at lookback m=3; derived road colors reflect structural symmetry only and never alter independent shoe probabilities.
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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