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 > -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support?hl=en. For more options, visit https://groups.google.com/groups/opt_out.