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Compare partial folds

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

Use A with 90-degree crease targets. Inspect Fold Percent 0, 50, 100. Record target angles from flat of 0, 45, 90 degrees. These are settings, not a claim of exact measured convergence.

The idea

The Fold Percent control scales the intended fold amount; the solver’s visible state can take time to settle toward that target.

Follow along

Compare partial folds — guided practice

Observe one pattern at several target settings.

Use A with 90-degree crease targets. Inspect Fold Percent 0, 50, 100. Record target angles from flat of 0, 45, 90 degrees. These are settings, not a claim of exact measured convergence.

  1. 1. Reset the starting state

    Return to Folded view, click Reset and set Fold Percent 0. Leave default simulation settings unchanged. Rotate the view by dragging the background rather than grabbing a vertex.

    You should see: The starting sheet is flat and its boundary remains connected.

    A common initial state makes comparisons easier.

  2. 2. Inspect the halfway target

    Enter 50 in Fold Percent or position the slider there. Let the image settle, then rotate to view the pleats from the side. Write target 45 degrees and describe the visible shape.

    You should see: The sheet moves toward a partly folded accordion.

    Half of a 90-degree target is 45 degrees; the number describes the requested bend from flat.

  3. 3. Inspect the full target

    Set 100 and observe again. Record target 90 degrees. Keep the view angle similar when comparing; save a screenshot with the setting in its filename if convenient.

    You should see: The pleats become more pronounced while the same four panels remain.

    Changing viewpoint can imitate a geometry change, so comparable views matter.

  4. 4. Record the method and uncertainty

    Write a three-line log for 0, 50, 100 with target angle and what you actually saw. Paper route: open the sheet flat, partly pleat it, then deepen the pleats; call the angles estimated unless measured.

    You should see: The log separates commanded targets from observed or hand-estimated shapes.

    A setting is not a measured guarantee of the resulting geometry.

Now change one thing

A90-degree target is scaled to 50%. What angle is requested in degrees?

Your work

What to finish

A three-state fold log with targets and observations.

Common mistake

Watch for this

Reporting a control value as a measured physical angle.

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 120-degree target is set to 25% Fold Percent. What bend is requested?
2Two screenshots use different camera angles and different fold settings. Why is comparison harder?
3The slider says 100% while the model is still moving. Which description is most accurate?
0 of 3 answeredApply the lesson to a short question, then review the explanation.
3
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

Tools open in a new tab so you can keep your place here.

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.

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