The optimal way of folding a bond notebook page into a bookmark
1–10 of 14 posts
Re: The optimal way of folding a bond notebook page into a bookmark
#2very very carefully
Re: The optimal way of folding a bond notebook page into a bookmark
#3I think there's an error here in the case of a very tall notebook. The paper claims that there is a finite limit to how far to the right the bookmark can go. But it seems to me that for a sufficiently tall sheet of paper, the optimal fold is at a 45 degree angle with the left edge of the paper folded right up to the top edge. This gives you a length of D - 1 hanging to the right, where the width of the paper is 1 and the height is D.
Re: The optimal way of folding a bond notebook page into a bookmark
#4Can anyone explain what the author means by "bond" in this context? Is it a specific mathematical term, or did they mean to write "bound"?
Re: The optimal way of folding a bond notebook page into a bookmark
#5Can anyone explain what the author means by "bond" in this context? Is it a specific mathematical term, or did they mean to write "bound"?
The author is confusing bond with bound. The introduction contains this sentence: "Second, all pages are bond from the top and cannot be torn off."
Re: The optimal way of folding a bond notebook page into a bookmark
#6I think there's an error here in the case of a very tall notebook. The paper claims that there is a finite limit to how far to the right the bookmark can go. But it seems to me that for a sufficiently tall sheet of paper, the optimal fold is at a 45 degree angle with the left edge of the paper folded right up to the top edge. This gives you a length of D - 1 hanging to the right, where the width of the paper is 1 and…
I believe "tall" here refers to the length of the spine of the notebook, in which nomenclature what you're referring to is a "wide" paper.
Re: The optimal way of folding a bond notebook page into a bookmark
#7quoting from the paper: Although innocent at the first glance, origami surpasses the power of “compass and straight-edge”and can solve third-order mathematical problems including the “angle trisection” and “doubling the cube”
quoting from the paper: From the technological side, origami is a generic methodology to transform between 2d and 3dgeometries.
Does anyone know if you had a mechanical "liquid paper notebook" where the marks on the notebook are rotating micro-balls (from 0% to 100% black) if you could use origami as a way of expanding out an originally folded sheet of a large size (say 11 x 14 - legal size paper) where the folded version might be the size of a paperback book?
On a different note, I think I know what angle trisection is, but I'm not sure what "doubling the cube" might mean.
Does anyone know what geometric problem the author is referencing ?
Re: The optimal way of folding a bond notebook page into a bookmark
#8quoting from the paper: Although innocent at the first glance, origami surpasses the power of “compass and straight-edge”and can solve third-order mathematical problems including the “angle trisection” and “doubling the cube” quoting from the paper: From the technological side, origami is a generic methodology to transform between 2d and 3dgeometries. Does anyone know if you had a mechanical "liquid paper notebook" w…
> I'm not sure what "doubling the cube" might mean.
This:
https://en.wikipedia.org/wiki/Doubling_the_cube
It's basically being able to construct the cube root of two; you can't construct roots that aren't powers of two with a compass and straightedge.
Re: The optimal way of folding a bond notebook page into a bookmark
#9I love how:
1. The author treats this topic so seriously and thoroughly.
2. HN comments do the same.
Re: The optimal way of folding a bond notebook page into a bookmark
#10I think there's an error here in the case of a very tall notebook. The paper claims that there is a finite limit to how far to the right the bookmark can go. But it seems to me that for a sufficiently tall sheet of paper, the optimal fold is at a 45 degree angle with the left edge of the paper folded right up to the top edge. This gives you a length of D - 1 hanging to the right, where the width of the paper is 1 and…
Isn’t this the special case covered near the top of page 8?