Paper Fold Download

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Celedonio Miranda

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Aug 3, 2024, 11:01:50 AM8/3/24

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Your goal is to fold the paper in the correct order to reveal the image on the other side. The dotted lines separate which parts of the paper can be folded. Left click any of those sections to fold it. You'll have to try out each fold to see what's on the other side. If you need to unfold it, just click on it again. Make the folds in the right order to reveal an image on the paper!" } } , "@type":"Question", "name":"", "acceptedAnswer": "@type":"Answer", "text":"" ] } ] Sorry... this game is not playable in your browser.

Your goal is to fold the paper in the correct order to reveal the image on the other side. The dotted lines separate which parts of the paper can be folded. Tap any of those sections to fold it. You'll have to try out each fold to see what's on the other side. If you need to unfold it, just click on it again.

I knew that this would happen, because it was "Accepted Wisdom" that it was impossible to fold a piece of paper in half 10 times (or seven, or nine, for that matter.). I told him that it couldn't be done, even if he used paper the size of a football field. But I now know that I was wrong.

The first time you fold it in half, it becomes 150 mm long and 0.1 mm thick. The second fold takes it to 75 mm long and 0.2 mm thick. By the 8th fold (if you can get there), you have a blob of paper 1.25 mm long, but 12.8 mm thick. It's now thicker than it is long, and, if you're trying to bend it, seems to have the structural integrity of steel.

A typical claim on the Internet might run, "No matter its size or thickness, no piece of paper can be folded in half more than 7 times", and as you stare sadly at your block of folded paper, you tend to agree.

That was when a high school student, Britney Gallivan (of Pomona, California) was given a maths problem. She would get an extra maths credit, if she took up the option of solving the problem of folding a sheet in half 12 times. She tried and failed with reasonably-sized sheets of paper.

So she got smart, and used something incredibly thin - gold foil, only 0.28 of millionth of a metre thick. She started with a square sheet, 10 cm by 10 cm. It took lots of determination and practice, as well as rulers, soft paint brushes and tweezers, but she finally succeeded in folding her gold foil in half 12 times. She ended up with a microscopic square sheet of gold foil.

The first solution was for the classical fold-it-this-way, fold-it-that-way method of folding the paper. Here you fold the paper in alternate directions. She derived a formula relating the number of folds possible (n) to the width (w, of the square sheet you start with) and the material's thickness (t):

The second solution was for folding the paper in a single direction. This is the case when you try to fold a long narrow sheet of paper. She derived another formula relating the number of folds possible in one direction (n) to the minimum possible length of material (l) and the material's thickness (t):

After some searching she found a roll of special toilet paper that would suit her needs - and that cost US $85. In January 2002, she went to the local shopping mall in Pomona. With her parents, she rolled out the jumbo toilet paper, marked the halfway point, and folded it the first time. It took a while, because it was a long way to the end of the paper. Then she folded the paper the second time, and then again and again.

After seven hours, she folded her paper for the 11th time into a skinny slab, about 80 cm wide and 40 cm high, and posed for photos. She then folded it another time (to get that 12th fold essential for her extra maths credit), and wrote up her achievement for the Historical Society of Pomona in her 40 page pamphlet, "How to Fold Paper in Half Twelve Times: An "Impossible Challenge" Solved and Explained". She wrote in her pamphlet, "The world was a great place when I made the twelfth fold."

Britney Gallivan succeeded because she was as contrary and determined as Juan Ramon Jiminez, the Spanish poet and winner of the 1956 Nobel Prize for Literature. He wrote, in a metaphor for the questioning and resilient human spirit, "If they give you ruled paper, write the other way."

Fold each corner of the paper to reveal an image. But watch out! You need to fold the corners in a specific order or you might cover up parts of the image. Can you guess the right order and move to the next level?

I would like create some grasshopper definitions of paper models that we are making by hand and to be able to change them in 3D (and compare the results) by changing the 2D geometry (the unfolded pattern). I think I would like to achieve something like the software Rigid Origami does, but using Rhino+Grasshopper instead.

I have this planar shape in mind now (without the flaps on the edge). 1. How can I make this "piece" behave like a segment with multiple folds? 2. How can I add more of the same segments (join them on the sides) in order to create a closed object? 3. I would also like to be able to change the number of border edges as well and to be able to control the position of those points in order to make differently shaped "planar pieces" and different objects in the end.

If I understand you correctly you want to make folded-surface-sub-units that can be combined to form a single closed surface. It sounds like you want to arbitrarily define the shape of the sub-surface yet I doubt the problem can be approached this way with any hope of ending up with a closed surface. Perhaps I'm misunderstanding something...

in your example the srf should have a area of 9. But this works only for the parallelogram not for triangles. Do you know why? During a paperfolding all the areas should stay the same size. I have this problem faced quit often! Mh?

Good catch on that. As you suggest the problem must be with the parallelogram since the triangle by definition will always remain planar...probably the parallelogram outer point coincident with the triangle outer point needs to rotate around a differently oriented vector or around the same vector at a different rate which I believe will twist the parallelogram out of planarity while it's folding. So it looks like the parallelogram needs to be diced into triangles (as in the paper model) to keep all surfaces planar and hence there will have to be more folding vectors and rotations in the definition. Oh...no fun here.

Look at this. I think you'll find it to be more in line with what you're looking to do. Accomplishing anything like this is way beyond my skill set at this point. This has been a very interesting topic though and I'll continue to dabble at it.

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Welcome to my tutorial for the awesome paper airplane known as the Harrier. This is one of the quickest, easiest, and best flying paper airplanes I know how to make, so it's great for impressing friends and killing boredom. Feel free to watch my video, read the instructable, or both! So let's get started!

Holding the paper in landscape (lengthwise as shown in the first picture), fold the top edge down to the bottom edge, then unfold. This should be a very accurate fold, as it sets up the symmetry for the rest of the model. After you have creased and unfolded, rotate the paper to the vertical position as shown in the last picture.

Start with the top right edge. Fold it down so that the top edge runs parallel to the center crease. The edge should not actually touch the center crease, but it should come very very close. Do the same on the top left edge. The end result should look like the last image.

Take the topmost point and fold it down to about an inch above the bottom edge of the paper. There is no precise measurement, and the value changes with different sizes of paper. One thing is crucial here: the center crease MUST remain aligned all the way from the top to the bottom.

As we did in step two, fold the top right edge down parallel to the center crease so that it almost touches it. The paper will be thicker now so you may need to press harder to keep the paper from wrinkling. Do the same thing to the top left edge. The result should look like the last picture.

You will notice a small triangular projection in the center of your plane. Fold this upwards over the folds from the last step and crease strongly. Then mountain fold along the center crease and position the model as shown.