On Thursday, 18 October 2012 14:24:45 UTC+8, projetmbc wrote:
>
> Ok, there is an applet showing on example of the Newton polygon here :
>
> http://www.math.sc.edu/~filaseta/newton/newton.html
>
> Don't focus on the definition of the Newton polygon but only on the 
> graphic.
>

well, we can't focus on graphics, we're (mostly) mathematicians, not 
 graphics artists :-)
Also, that applet is apparently so old (the page says it's last modified in 
1998!) that it doesn't work for me.
So better provide a definition of what you need...
 

>
> What I need to obtain is a similar result but from the "upper" point of 
> viex, and the "lower" one. 
>
> Is it more clear now ? If not, I will produce one picture by hand.
>
>
OK, I'm glad that I asked, as this is not what 95% of people mean by a 
Newton polytope/polygon (and although I even published one paper in number 
theory --- funnily, with Filaseta, the author of the applet, it was a while 
ago, and this kind of definition didn't cross my mind).
Anyhow, you need a part of the convex hull of a bunch of points in the 
plane, right?
Surely, Sage can do convex hulls.


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