This problem has been widely discussed in some
online discussion forums under the name
"the teabag problem", and someone has a nice
website on it.  AFAIK no one has proved any
suggestion to be optimal.  There are more ways
to embed the teabag isometrically in 3-space
than it may seem at first.
 
--Dan
 
 
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Hello everybody,
 
I always been puzzled by this fact :
 
I just went to the grocery store to buy plastic garbage
bags. They sell it in various sizes in liters but the
format is in inches like 26 x 36 inches.
 
That model if I recall has a volume of 121 liters.
 
But actually if I have a square very thin plastic
bag and I inflate the bag with air what is the shape of
an inflated bag? (square of rectangular).
 
Is this problem has been addresed before?
 
What is the volume? of an inflated 1 meter x 1 meter bag.
for sure the surface is 2 square meters.
 
Any idea someone?
 
Simon Plouffe