Re: A cycle with minimum length

Mahdi said:

Let me give an example:
We have 3 points a,b,c :
a : x=2 y=0
b: x=10 y=8
c: x=17 y=0
one possible cycle is : a-->b-->c-->a
another : a-->c-->b-->a
One of them is shorter than the another.

Your claim is equivalent to the claim that a triangle's perimeter
changes, depending on whether you measure it clockwise or
anticlockwise.

If you can prove this, I suggest you write it up as a paper and submit
it to a mathematical journal, where it will undoubtedly be received
with a certain degree of astonishment.

--
Richard Heathfield
"Usenet is a strange place" - dmr 29/7/1999
http://www.cpax.org.uk
email: rjh at the above domain, - www.
.