On 03/15/2013 10:54 AM, Gareth Chen wrote:
On Mar 15, 2013 6:09 AM, "sue neff"<neffsens...@comcast.net> wrote:
Dear Origami Friends,
Has anybody seen an explanation for why
"folding a chop-sticks wrapper into an over-hand knot"
Makes a perfect pentagon
I think this happens because the procedure for tying the knot is similar
geometrically to drawing a star (think about a line drawn don the center of
the paper). As a result, all the angles that are formed when you flatten it
are the same, and since the width of the paper strip is constant, you get a
regular pentagon.
Hope this helps,
Gareth
There's a nice discussion of this in Tom Hull's delightful Project
Origami. Well worth reading!
