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A comment on The optimal way of folding a bond notebook page into a bookmark.

Re:The optimal way of folding a bond notebook page into a bo... by whitten on Monday February 10, 2020 @04:49PM (#22293767)
quoting 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 ?

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Re:The optimal way of folding a bond notebook page into a bo... by pdonis on Monday February 10, 2020 @05:03PM (#22293876)
> 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.

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