You can’t cut something in half an infinite number of times. Once you get down to the Planck Length measurements of distance become meaningless, so you can’t divide it any more. If you keep going half the distance, you’ll never reach the object (in theory, of course), but that does not translate to infinite distance.

In quantum physics, we can’t build that perfect simulation. We simply can’t know what comes out in a measurement, no matter how precise we measure, and up until now, there seems to be no good reason whatsoever that in one measurement we get this result and in another, a different one.

You can always divide a number in half to obtain something with a real value. Numbers can be defined to very small values through arrow notation and such. While the limit of (1/2) n as n goes to infinity is 0 each value is defined in that sequence.

No. At a small enough scale, you would no longer be cutting “paper” in half, but instead cutting the glucose monomers that make up the cellulose in paper. (This of course completely overlooks the fact that paper usually has pigments and other additives in it.)

Yes it is. If you definite “matter” with the very same language – known as “Mathematics” – as you definited the “physics” with, then yes, “matter” is infinitely divisible.

It is commonly claimed that you cannot fold a piece of paper in half more than seven times. That may be true for a standard piece of paper of A4 dimensions, but according to US teenage (at the time) mathematician Britney Gallivan the maximum number of folds is in fact dependent on the initial size of the sheet.

Because of A paper’s thickness and length it can’t be folded more than 7 times, but because of the equation, theoretically, you just need longer paper to be able to fold it any number of times. When we fold a paper sheet in half, the thickness of the paper doubles after every fold.

So it actually extends past the moon by 45,000km or 28,000 miles. As a note its very hard to fold paper more than 7 times, or anything more than 13 times.

On 27 January 2002, high school student, Britney Gallivan, of Pomona, California, USA, folded a single piece of paper in half 12 times and was the first person to fold a single piece paper in half 9, 10, 11, and 12 times. The tissue paper used was 4,000 ft (1,219 m; 0.75 miles) long.

If you have a large piece of paper and enough power to fold it, you can halve it many times. But oops, there is a problem: if you fold the paper 103 times, the thickness of this ream of paper will exceed the known size of a universe, which is 93 billion light-years.

“Why does paper explode when under extreme pressure?” Well, the main reason is that paper is made of cellulose (which is derived from wood), and wood explodes under extreme pressure. From a structural standpoint, paper is just a bunch of thin wood with words on it.

For many years it was thought that the maximum number of folds that could be achieved was just seven! This was the case until when in 2002 American teenager Britney Gallivan demonstrated that a sheet of paper can be folded 12 times, provided that it is long enough and thin enough.

The commonly accepted wisdom is that you can’t fold a single sheet of paper in half more than seven times. They determined that using a larger sheet of paper would make it possible to fold the paper in half more than seven times. MythBusters used a sheet of paper the size of a football field.

* The reality: Given a paper large enough—and enough energy—you can fold it as many times as you want. The problem: If you fold it 103 times, the thickness of your paper will be larger than the observable Universe: 93 billion light-years.

One reason why origami can be daunting is that the instructions are generally hard to follow – at least we’ve found that to be the case – so we began our new adventure by looking for a good book or two. Most of the projects involve simple and few folds, and the instructions in both books are pretty clear.

Origami Ancient Dragon

Origami has been found to improve not only 3D perception and logical thinking (PDF), but also focus and concentration. Researchers have found that students who use origami in math perform better.

While children are fast learners, if a child is new to origami, learning it will take time as it requires patience, dexterity and an understanding of the directions. By age 8, a child is usually able to follow origami instructions independently though there may be times when adult assistance is needed.

Origami is a fantastic craft for kids of all ages to get into.

Origami helps develop hand-eye coordination, fine motor skills and mental concentration. Use of the hands directly stimulates areas of the brain. Memory, non-verbal thinking, attention, 3D comprehension and imagination are further stimulated by the brain’s exploration of Origami.

The goal is to transform a flat square sheet of paper into a finished sculpture through folding and sculpting techniques. Modern origami practitioners generally discourage the use of cuts, glue, or markings on the paper.