There is a new attempt to create an interface from Sage to polymake. This thread is meant to report on this development and to discuss how to proceed. To answer the obvious question of why this is not discussed in the developer's forum: the topic seems to be of interest to a wider audience, and the ...

Is this approach ok?

Yes, this is OK. Sorry for the inconvenience. I did not pay attention to the change Ewgenij mentioned above. My bad.

Unfortunately the patch is not working for me. Applying seemed to be successfull but the first example I posted has not changed. P is still pointed. This is my output on your example with the patch: polytope > $P = new Polytope<Rational>(POINTS=>[[1,0,0],[0,1,1],[0,-1,-1]]); polytope > print $P->LI...

The first is already during initialization. If the input does not explicitely contain some section defining lineality then the polytope is assumed to be pointed. As a workaround you could state (part of the) lineality space in the input: $P=new Polytope(POINTS=>[[1,0,0],[0,1,1],[0,-1,-1]], INPUT_LI...

Please look up: De Loera, Rambau, and Santos, Triangulations, Springer, 2010.

"Generic" means that the resulting subdivision is a triangulation.

Please look up: De Loera, Rambau, and Santos, Triangulations, Springer, 2010.

I finally moved to Ubuntu 11.04, too. Running into the same problems discussed above. Could someone who finally succeeded please sum up all the installation steps necessary? I got stuck at the nauty issue. The key trouble seems to be the useless standard compiler which requires to build a new gcc fi...

For a different visualization you should save the file, e.g., via povray(cube(3)->VISUAL,File=>"cube.pov"); and edit. Notice that the file polypov.ini included there only sets a few values which are kept in custom variables. The actual scene description is in polymake-scene.pov. For intera...

There is a new tar ball of the 2.10 release which is supposed to support gcc 4.6.0 as well as Perl 5.14.

Please give it a try and send feed back.

I guess the attached file contains the correct descriptions of your matrix A and your right hand side b. Then you define your polytope like: polytope > $P=new Polytope(INEQUALITIES=>(unit_matrix(56)),EQUATIONS=>(-$b|$A)); Afterwards you can compute the vertices: polytope > print $P->VERTICES; 1 1624...