Re: [sage-support] Connection among the vertices on a plane or hyperplane

2013-03-06 Thread Asad Akhlaq
OK sir. Thank you very much for your reply. On Thursday, 7 March 2013 15:29:41 UTC+10:30, Anton Sherwood wrote: > > On 2013-3-06 17:51, Asad Akhlaq wrote: > > Thanks for your reply. One more question please. In the original > > simplex I have 9 vertices and each vertex is connected to 8 others.

Re: [sage-support] Connection among the vertices on a plane or hyperplane

2013-03-06 Thread Anton Sherwood
On 2013-3-06 17:51, Asad Akhlaq wrote: 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)

Re: [sage-support] Connection among the vertices on a plane or hyperplane

2013-03-06 Thread Asad Akhlaq
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 k

Re: [sage-support] Connection among the vertices on a plane or hyperplane

2013-03-05 Thread Anton Sherwood
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 sim

Re: [sage-support] Connection among the vertices on a plane or hyperplane

2013-03-05 Thread Asad Akhlaq
Hi, Thanks for your reply. Actually I am not a guy from mathematics and don't have a v. good background either. Actually I have a simplex in 9D (it is a simplex of A8) with nine vertices. Each of these vertices are connected to each other (means each vertex is connected to eight other vertices

Re: [sage-support] Connection among the vertices on a plane or hyperplane

2013-03-05 Thread Anton Sherwood
On 2013-3-04 22:21, Asad Akhlaq wrote: I am solving a problem where I want know that whether certain vertices on a hyperplane are connected to each other or not (i.e there exists an edge between two vertices). Say in a 2D plane, if I have 3 or more vertices (points), how can I decide that if all

[sage-support] Connection among the vertices on a plane or hyperplane

2013-03-04 Thread Asad Akhlaq
Hi, I am solving a problem where I want know that whether certain vertices on a hyperplane are connected to each other or not (i.e there exists an edge between two vertices). Say in a 2D plane, if I have 3 or more vertices (points), how can I decide that if all or some of these vertices are