Questions tagged [paper-folding]

A puzzle based on the folding of a piece of paper (also known as origami).

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13 votes
1 answer
235 views

Creative Paper Folding

Shown below is 6x5 grid drawn on a paper with various numbers (1 to 9) and letters filling the 30 boxes. By folding the paper grid 5 times or less can you get to a 3x3 grid showing only the numbers 1 ...
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13 votes
1 answer
633 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 ...
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3 votes
1 answer
171 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. ...
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  • 6,596
2 votes
1 answer
79 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 ...
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  • 1,691
7 votes
1 answer
250 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 ...
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  • 1,691
3 votes
2 answers
168 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) ...
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  • 1,691
10 votes
5 answers
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 ...
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  • 4,767
19 votes
1 answer
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 ...
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  • 12.4k
25 votes
3 answers
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 ...
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25 votes
1 answer
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 ...
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4 votes
1 answer
165 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?
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12 votes
1 answer
379 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?
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25 votes
1 answer
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 ...
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16 votes
1 answer
462 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?
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20 votes
3 answers
1k views

Early 1900's Paper Puzzle - Release the Key and Live Forever

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 no more other ...
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  • 203
1 vote
0 answers
143 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!
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13 votes
1 answer
857 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 ...
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  • 12.4k
16 votes
1 answer
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 ...
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59 votes
2 answers
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?
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17 votes
1 answer
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 ...
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121 votes
1 answer
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?
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10 votes
4 answers
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.
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  • 2,380
9 votes
3 answers
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, ...
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  • 28.8k
46 votes
13 answers
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 ...
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  • 579
4 votes
4 answers
836 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 ...
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  • 66.2k
24 votes
1 answer
718 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 ...
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79 votes
3 answers
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 ...
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14 votes
2 answers
483 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 $\...
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  • 5,646
6 votes
2 answers
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 ( ...
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  • 38.7k
2 votes
1 answer
379 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 ...
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3 votes
2 answers
276 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. (...
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  • 21.7k
3 votes
4 answers
355 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? ...
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  • 38.7k
36 votes
7 answers
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. ...
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  • 38.7k
4 votes
2 answers
339 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 ...
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  • 6,596
57 votes
4 answers
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 ...
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  • 1,449
6 votes
1 answer
332 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 ...
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  • 44.6k
1 vote
3 answers
11k 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.)
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  • 145
37 votes
3 answers
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 ...
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  • 907
2 votes
3 answers
2k 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 ...
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