Questions tagged [paper-folding]
A puzzle based on the folding of a piece of paper (also known as origami).
38
questions
13
votes
1answer
452 views
Folding a piece of paper with numbers in sequence
Divide a rectangular sheet of paper with a side length of 2 × 4 into eight 1 x 1 unit squares
and label them as shown in the sketch.
Then fold the sheet of paper along the boundaries of the square so ...
3
votes
1answer
160 views
Aluminum Foil Folds and Cut
Your task is to convert a diamond shape monomino that is made from aluminum foil into an x-shape pentomino (see figures). You may fold the monomino and make one straight cut with a pair of scissors. ...
2
votes
1answer
75 views
Can you produce a wolf's template? Part 2
Here is the first question.
You are given a square piece of paper with no marks on it. With this paper, you have to make a wolf's template.
You are given no tools such as a ruler or scissors, and all ...
7
votes
1answer
239 views
Can you fold a paper, make one hole and produce a bear's template?
You are given a piece of paper with no marks on it. With this paper (A4 or A5 size), you have to make a bear's template.
On the template the sell size is 5 mm, hole is not in scale.
You are given no ...
3
votes
2answers
162 views
Dissection puzzle from the Gardner's book. How to define points without tools?
The figure shows a fairly well-known puzzle from the book by Martin Gardner. You need to cut the regular hexagonal star into pieces and fold the square.
Question: how to define points (marked in red) ...
10
votes
5answers
1k views
Can you fold a square into a square of one-third the area
I do not love origami, but Mitsuko gave me an idea for a extremely hard and (not that?) beautiful puzzle. I'm really curious whether anyone here can solve it.
So here's the puzzle. You are given a ...
19
votes
1answer
1k views
Ernie and the Lock-down Puzzle
During lock-down I was feeling a bit lost for something to do, so one one day I sent Ernie a text reading "Bored".
He responded with a text-less message and an attached image (see below).
I ...
25
votes
3answers
3k views
Two chunky pixelated X's locked in mortal combat!
In this dramatic image, we witness two rather chunky pixelated letter X's (having recently fattened themselves up for the approaching winter) locked in mortal combat, fighting to the death for the ...
25
votes
1answer
1k views
Wrap a squashed, bullet-riddled lowercase lambda around a cube
The following rather squashed and bullet-riddled lowercase lambda:
...can be wrapped onto the surface of a cube in a way that perfectly covers the entire cube, with no gaps and no overlaps.
How can ...
4
votes
1answer
155 views
Icosahedron-Wrapping Monstrosity
The following monstrosity of a shape:
... can be wrapped onto the surface of an icosahedron in a way that completely covers the entire icosahedron with no gaps and no overlaps.
How can it be done?
12
votes
1answer
369 views
Tri-bladed Boomerang vs. Octahedron!
The following tri-bladed boomerang shape:
... can be folded onto the surface of an octahedron in a way that perfectly covers the entire octahedron with no gaps and no overlaps.
How can it be done?
25
votes
1answer
2k views
A Slightly Moth-Eaten Integral Sign
The following slightly moth-eaten integral sign:
... can be folded onto the surface of a cube in a way that perfectly covers the entire cube with no gaps and no overlaps.
How can it be done?
(You ...
15
votes
1answer
434 views
Wrapping a Galaxy Around a Cube
The following galaxy-like shape:
can be folded onto the surface of a cube in a way that perfectly covers the entire cube with no gaps and no overlaps.
How can it be done?
15
votes
3answers
1k views
Early 1900's Paper Puzzle - Release the Key and Live Forever
So this puzzle was found in an old attic and was a religious invitation. Release the key and you could send it in to receive a Bible based book. Apparently 1000's were made but I can find mo other ...
1
vote
0answers
133 views
What does this message in paper say? [closed]
You wake up in an old horse wagon and get a piece of paper with strange symbols. What does it say?
//Anyone can help me. Please!
13
votes
1answer
826 views
Ernie and the Superconducting Boxes
I was in anticipation all last week. Ernie, who had been travelling for several months, was finally coming home. So over the weekend I dropped in on him.
He was bursting with news. "Some wonderful ...
16
votes
1answer
1k views
Cover a cube with four-legged walky-squares!
This is a four-legged walky-square:
This shape has an interesting property: It is possible to map multiple copies of this shape onto the surface of a cube in a way that perfectly covers the entire ...
58
votes
2answers
6k views
Can you perfectly wrap a cube with this blocky shape?
The following blocky shape:
can be folded onto the surface of a cube in a way that perfectly covers the entire cube with no gaps and no overlaps.
How can it be done?
17
votes
1answer
1k views
Can you cover a cube with copies of this shape?
The following shape has an interesting property:
It is possible to map multiple copies of
this shape onto the surface of a cube in a way that perfectly covers the entire cube with no gaps and no ...
119
votes
1answer
8k views
How can this shape perfectly cover a cube?
The following shape:
can be folded onto the surface of a cube in a way that perfectly covers the entire cube with no gaps and no overlaps.
How can this be done?
10
votes
4answers
2k views
Number of folds to form a cube, using a square paper?
Take a square paper of size $ S \times S $ units and thickness 1 unit.
How many half folds should we do to form a cube out of it?
Consider infinitely foldable paper.
9
votes
3answers
2k views
Folding a paper wouldn't be this hard
Alice and Bob started to play a game with a piece of A4 paper. Alice is going to cut that paper as she wants and will give it to Bob, then Bob will fold the paper from anywhere he wants. In the game, ...
46
votes
13answers
7k views
How to make someone open an origami?
I'm offering someone an origami (rabbit shape) with a QR code written inside. This is the beginning of a series of riddles.
My question is, how could I make the person I'm offering the origami to ...
4
votes
4answers
834 views
Reach for the moon
A rectangular strip of 1 mm thick paper has length = 500 m and width = 1 m. It is lying on a horizontal floor and you are allowed to rotate and fold this inelastic paper as often as possible.
What is ...
23
votes
1answer
668 views
A Pentad of Paper Puzzles
I feel that paper is an underrepresented mechanic in puzzles, so this puzzle explores the many facets of this subject. It's (almost) all lovingly handmade, so please excuse any errors.
Orikami
...
78
votes
3answers
5k views
The Folding Maze
Four years ago, I drew a really nice maze. I have recreated it with the wonders of MS Paint for all of you to enjoy.
Just begin at the green START, exit by the red arrow, and don't pass through black ...
10
votes
2answers
329 views
Create a 1 meter measure
How many folding steps do you need to create a $1 \, \text{m}$ measure from an ideal DIN A0 sheet? This sounds easy, but consider that this paper has edge lengths of $\sqrt[4]{2} \, \text{m}$ and $\...
6
votes
2answers
2k views
Fold a standard paper to get a Rhombus
A follow up to the "Create a 3 inch measurement" post.
Can you create a Rhombus ( a parallelogram with all sides equal AND which is not a square-- my restriction) using a standard letter size paper ( ...
2
votes
1answer
369 views
Bigger Yoshimoto Cubes
I have been making a Yoshimoto cube, using 8 cubes. I am assuming, there must be some way to create a Yoshimoto Cube consisting of 27 cubes or 64 cubes (assuming the original formula is 2x2x2). Or ...
3
votes
2answers
270 views
PFG: A pretty spiral!
PFG = Paper Folding Golf
You bought a piece of paper from your local op shop, but your shop is always dodgy. So instead of a normal piece of A4, you got an infinitely long strip, a metre wide.
(...
3
votes
4answers
347 views
Create a 1 inch measurement
This is a follow up to the "Create a 3 inch measurement" puzzle, which got a lot of innovative solutions.
Using the standard 8.5 x 11 inch paper, can you create a 1 inch measurement only by folding? ...
35
votes
7answers
2k views
Create a 3 inch measurement
How will you create a 3 inch (within say plus or minus 0.05 inch) side on a standard piece of paper ( 8.5 x 11 inches) merely by Folding? No marking of any kind allowed. Only one paper available. ...
4
votes
2answers
332 views
1 Cube 1 Square 1 Line
Lets take a 1'x 1'x 1' Cube rock and a 1' x 1' Square paper. With 1 straight Line cut of a scissors we can create a hole on the foldable Square paper where the Cube rock can pass through without ...
54
votes
4answers
6k views
Folding paper into corners
Here is a piece of paper:
Fold it once, and you can get a shape with 9 corners:
Starting with a rectangular sheet of paper and folding twice (along any line), what is the largest possible number of ...
6
votes
1answer
322 views
Folding a piece of paper
On the table lies a rectangular piece of paper $ABCD$ of area $100$.
Cosmo folds the rectangle once along a straight line, so that afterwards
corner $C$ lies exactly on top of corner $A$.
The ...
1
vote
3answers
10k views
Folding a piece of paper in half [closed]
How tall would a piece of paper be if you folded it 100 times?
(Assume a normal piece of paper, and that you could theoretically fold the paper perfectly in half.)
37
votes
3answers
4k views
Which 3D shape can you make out of this?
The above shape can be folded into a closed 3D shape using no more than 14 distinct folds, with no parts overlapping. What is special about the shape that results?
Rules and clarifications:
Every ...
2
votes
3answers
1k views
Folding a hexagon to a rectangle or square, with uniform overlap
A piece of fabric shaped like a regular hexagon with unit-length sides is given, with vertices A...F and center O. Let a fold correspond to folding some fabric along a straight line, without ...
