# Questions tagged [origami-folding]

For mathematical questions related to origami and other aspects of folding.

6
questions

**1**

vote

**1**answer

54 views

### Solution for the sequence of the number of “major flaps” in origami bases and its relation to other sequences

I have recently been getting into origami and reading Robert J. Lang's (a physicist and one of the leading modern origami artist) books. In the book Origami Design Secrets he showed a sequence of more ...

**1**

vote

**1**answer

42 views

### Folding a non-rectangular shape into a rectangle of uniform thickness

I think the following might be an interesting subproblem of this question:
Question: For an odd number $n\ge 3$, is there a non-rectangular but still convex shape of area $A=1$, that can be folded (...

**6**

votes

**1**answer

347 views

### Napkin Folding Problem / Rumpled Ruble Problem

I am an outsider to this group. I'm a journalist and am working on a piece about theoretical math/geometry. Simply put, when a napkin is folder in such a way to increase its perimeter is that strictly ...

**49**

votes

**3**answers

4k views

### Is the “Napkin conjecture” open? (origami)

The falsity of the following conjecture would be a nice counter-intuitive fact.
Given a square sheet of perimeter $P$, when folding it along origami moves, you end up with some polygonal flat figure ...

**16**

votes

**1**answer

1k views

### Origami Constructions: Intersecting two Circles

It is well known that every construction that can be performed with compass and straightedge alone can also be performed using origami, see:
R. Geretschlager. Euclidean Constructions and the Geometry ...

**19**

votes

**2**answers

1k views

### Four Dimensional Origami Axioms

What are the axioms of four dimensional Origami.
If standard Origami is considered three dimensional, it has points, lines, surfaces and folds to create a three dimensional form from the folded ...