Questions tagged [paper-folding]
A puzzle based on the folding of a piece of paper (also known as origami).
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You need to unfold the given figure
Unfold the given shape and find the answer
Source: UCEED (entrance exam for design colleges in India)
The given answer is B. I don't understand why this is the answer; how can I approach this kind of ...
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4
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Folding to One Triangle
Given a strip of 10 equilateral triangles, how many folds are necessary to reduce it to a single equilateral triangle? You may only fold along the grid lines. Multiple folds along collinear segments ...
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3
votes
1
answer
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Seven octahedral nets to cover an octahedron
After solving Cover a single cube with FIVE identical cube nets I had the idea for this puzzle, which may be regarded as a natural generalisation to triangular grids.
Find two different nets, A and B, ...
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votes
1
answer
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Cover a single cube with FIVE identical cube nets
Start with five identical cubes:
Your challenge:
Cut and unwrap all five cubes into five identical cube nets.
Show how to re-fold these five cube nets to form the surface of a single larger cube, ...
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votes
1
answer
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A Weapon or a Toy?
This puzzle is part of the Monthly Topic Challenge #5: On-and-onogrami
Hello, fellow puzzlers!
Here's a nonogram I made for you.
But it's not just a nonogram. There is a hidden object in it! Can you ...
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votes
5
answers
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A pentagon using less than 5 lines
A pen and paper challenge: Draw a pentagon on a piece of paper
only draw straight lines
draw less than 5 times!
The pentagon has to be fully drawn in ink, on the paper in unfolded state.
I am not ...
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votes
1
answer
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Turn two cubes into one!
Here are two identical cubes:
Your challenge:
Start with two cubes of exactly the same size.
Cut the surface of each of these two cubes along its edges and unfold the surface into a 2D shape. (So ...
- 5,530
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votes
2
answers
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Can you refold a hyper plus sign into a cube?
If you take a cube, and grow a new cube out from each of its six faces, you will get a "hyper plus sign":
This 3D solid has an interesting property. It can be sliced along its edges and ...
- 5,530
13
votes
1
answer
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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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votes
1
answer
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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
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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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votes
1
answer
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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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votes
1
answer
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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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3
votes
2
answers
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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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votes
5
answers
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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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20
votes
1
answer
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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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votes
3
answers
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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 ...
- 5,530
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votes
1
answer
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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 ...
- 5,530
4
votes
1
answer
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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?
- 5,530
12
votes
1
answer
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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?
- 5,530
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votes
1
answer
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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 ...
- 5,530
18
votes
1
answer
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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?
- 5,530
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votes
3
answers
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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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0
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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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votes
1
answer
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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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votes
1
answer
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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 ...
- 5,530
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votes
2
answers
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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?
- 5,530
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votes
1
answer
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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 ...
- 5,530
129
votes
1
answer
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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?
- 5,530
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votes
4
answers
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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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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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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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votes
4
answers
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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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votes
1
answer
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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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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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2
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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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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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votes
1
answer
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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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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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votes
4
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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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votes
7
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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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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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4
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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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votes
1
answer
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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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3
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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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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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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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