In this site(https://mathimages.swarthmore.edu/index.php/Bedsheet_Problem#:~:text=The%20bedsheet%20problem%20is%20an,was%20both%20mysterious%20and%20inexplicable.) it says
the folding limit is reached when there is not enough volume or length of the remaining paper to fill the radius section.
What it is referring to is if you take a sheet of material, folding it, folding it along the same direction again, and keep repeating. Here is a diagram:
The rectangular section is the remaining paper, and the curved part with the biggest radius is the radius section.
I am a bit confused why the quote is true. Intuitively it makes sense. But how was it proved?
Thanks. For reference, the quote is in the section called "A More Mathematical Explanation".
P.S.: It's a pity that there is no tag labelled "bedsheets". :)