Consider ' all ' possible and distinct (and closed) curves C in a
plane which are boundaries of star domains (# ) and all of which have
the same given length L. Let S equal the area of a circle with
circumference L. If one were to randomly (## ) choose a very large
number of these distinct curves and calculate the average area A would
A be closest to zero, closest to S/2 or closest to S ? I do not know.
# As supplied by F. Williams in previous Curve C thread, see
http://en.wikipedia.org/wiki/Star_domain
## Defining " randomly " here may require further elaboration.
AlexM
