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Change the panel width

About 36 minutes · 6 reading + 30 practice and checks
Time includes reading, practice, and questions. Extra videos or further study are optional.
See this course’s project requirements

An original accordion fold study with three SVG variants, checked geometry, target-angle comparisons and an honest simulation or paper-model record.

Keep your working files in your own notebook or software. Save a private description, checklist, and work link in My Proof.

What to include

  • An original four-panel pattern with M/V assignments and checked dimensions.
  • A three-state partial-fold log or labeled paper-state sketches.
  • A comparison of 90-degree and 45-degree targets.
  • A width revision from 120 to 160 coordinate units.
  • Original input files, comparison notes and simulation exports or paper-model descriptions.

Review and revise

Use these criteria to check your work and choose what to improve.

  • Crease assignments and panel geometry match the specifications.
  • Target-angle calculations are correct.
  • Controlled comparisons identify what changed.
  • The method and limits are stated accurately.
Open the full course project
Want more background?
Before you begin

The idea in everyday life

Pattern B is 160×60 with creases at 40, 80, 120, all at 90-degree targets. Compare with A: 120×60, creases 30, 60, 90, also 90-degree targets.

The idea

A parameter change can preserve the design’s structure while changing its proportions.

Follow along

Change the panel width — guided practice

Revise geometry while keeping the fold pattern and targets fixed.

Pattern B is 160×60 with creases at 40, 80, 120, all at 90-degree targets. Compare with A: 120×60, creases 30, 60, 90, also 90-degree targets.

  1. 1. Check the new geometry

    Calculate B panel width 160/4=40 and flat area 160×60=9600 square units. Compare A’s panel width 30 and area 7200. Write an area increase of 2400 square units.

    You should see: B widens every panel by 10 units and increases area by 2400.

    The new boundary and crease positions must agree with the equal-panel plan.

  2. 2. Export and inspect B

    Choose B in the local fixture, download accordion-B.svg and import it. At Fold Percent 0 inspect four equal panels and three internal creases.

    You should see: The revised flat sheet has a larger width but the same height and panel count.

    Checking the flat state isolates a geometry mistake from a folding effect.

  3. 3. Compare folded proportions

    Set A and B separately to 50% using Reset and similar viewpoints. Record which dimensions were changed and describe the resulting proportions without claiming an exact projected footprint.

    You should see: Both request 45-degree folds, but B has wider panels.

    A rotated rendering alone is not a direct numerical width measurement.

  4. 4. Interpret a model limit

    Open the original project description and note that the solver uses geometric constraints. Write that this study does not establish material thickness, hinge friction, load capacity or manufacturing fit. Paper route: compare a full sheet with a different-width available rectangle only if one is already available; otherwise compare the two flat diagrams.

    You should see: The geometry revision is explained without turning it into a strength claim.

    A computational shape model is not a physical qualification test.

Now change one thing

A rectangle grows from 120×60 to 160×60. What is the area increase in square units?

Your work

What to finish

A checked width revision and bounded comparison.

Common mistake

Watch for this

Inferring strength or manufacturing fit from a visual simulation.

How can I tell I understand it?

Explain the result, reproduce the procedure, and complete the changed-input check.

Try 3 questions

Quick knowledge check

Answer all 3 questions. Get at least 2 right and the lesson completes automatically.

Not yet passed

You’ll get an explanation for each answer. Signed in? Your results save to your account.

1A 200-unit-wide strip has four equal panels. Where is the third internal crease measured from the left edge?
2A shape folds smoothly on screen. Which claim still needs separate evidence?
3A revision changes width but keeps height, crease count and angles fixed. Which comparison best records the controlled change?
0 of 3 answeredApply the lesson to a short question, then review the explanation.
5
Finish this lesson

Pass the check. We’ll save the progress.

Answer all 3 questions above and get at least 2 right. You can review the explanations and try again.

Go to the knowledge check
Optional course overview video · same video as Lesson 1
MIT OpenCourseWareClass 1: Overview for MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, PolyhedraYouTube
Optional course overview

Class 1: Overview for MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra

From MIT OpenCourseWare. Watch here or open it on YouTube .

Optional course overview. Follow the written steps below at your own pace.
Tools, templates, and lesson sources

Tools and templates

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Sources and further reading

Explore the references behind this lesson.

Origami Simulator: instructions and SVG design tips
Source & access notes · checked 2026-09-12

Read Fold Percent, SVG stroke/opacity rules, import, pattern view, strain explanation and export controls. WebGL simulation was not operated.

Access: Public reading without a paid account; reviewed September 12, 2026.

Reuse: Link only. Lessons and practice assets are original; free access does not grant permission to copy the provider's material.

Amanda Ghassaei: Origami Simulator project
Source & access notes · checked 2026-09-12

Read original project description, simultaneous-fold solver, constraints, SVG/FOLD input and GPU method.

Access: Public reading without a paid account; reviewed September 12, 2026.

Reuse: Link only. Lessons and practice assets are original; free access does not grant permission to copy the provider's material.

Ghassaei, Demaine and Gershenfeld: Fast interactive origami simulation
Source & access notes · checked 2026-09-12

Read authors, research abstract and publication metadata. No claim of validating the numerical solver.

Access: Public reading without a paid account; reviewed September 12, 2026.

Reuse: Link only. Lessons and practice assets are original; free access does not grant permission to copy the provider's material.

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