Thanks for your reply. One more question please. In the original simplex I 
have 9 vertices and each vertex is connected to 8 others. In the new 
polytope, after cut by hyperplane, I have 5 vertices from the original 
simplex (that are connected to each other) plus 16 new vertices. Now how 
can I know if I have a one-to-one connection among all the  21 vertices in 
the new polytope? Is there any procedure to investigate that whether there 
is a connection among vertices?

Thanks
Assad

On Wednesday, 6 March 2013 12:52:10 UTC+10:30, Anton Sherwood wrote:
>
> On 2013-3-05 16:04, Asad Akhlaq wrote: 
> > ...  My ultimate goal is to find the volume of this new piece. 
> > To find the volume of this piece, can I just take a convex hull 
> > of these 21 vertices and find the volume of that piece? Will it 
> > give me the correct result? 
>
> Yes: since the original object (a simplex) is convex, 
> any piece sliced from it (by a planar cut) will also be convex. 
>
> -- 
> *\\*  Anton Sherwood  *\\*  www.bendwavy.org 
>

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