Using (rigid) Origami moves only, what is the maximum volume that can be enclosed by a square piece of paper

geometryoptimizationorigamirecreational-mathematicsvolume

Motivation:

This is inspired by this question.

The Question:

What is the maximum volume that can be enclosed by folding a square piece of paper (with side length $\ell$) using only (rigid) Origami moves?

Thoughts:

I found this, but it's not very helpful because it doesn't give a specific volume and I can't find the paper it references.

It's not a question I think I can answer myself. I have no formal training in Origami and know very little about it.

I'm guessing the shape is just a cube but I'm not sure how to prove that.

Please help 🙂

Best Answer

In order to close the question, here is a community wiki answer from the comments.

The ref it pointed to is a book (I've a hard copy of that). In the book, it say the volume is about $0.056$ which is about $60\%$ of the volume of a unit-area sphere.

This is by achille hui, Nov 18 at 19:31.

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