It is not easy or next to impossible to predict the amount of resources required for a convex hull computation a priori. There is only McMullen's upper bound theorem, which gives some guidance. For instance, this is the maximal number of facets of a polytope in dimension 10 with 10! vertices. polyto...

Your approach only works in the smooth case. In that case the toric variety (defined by the normal fan of the polytope) is simplicial. Intersecting the normal fan gives a finite simplicial complex, and its non-faces give you the Stanley-Reisner ring. See polymake's topaz documentation . See also OSC...

Your code complies with what is allowed in the docs. So it's probably a bug. Stay tuned.

The group SL(2, 5) does not have a faithful 3-dimensional real representation. Thus it does not act as a group of symmetries of a 3-dimensional object such as an icosahedron.

But then, what exactly do you expect polymake to do for you?

I have no idea what the "binary icosahedron" should be; and so there is no standard polymake function for this. Please explain.

As far as saving files from a visualization is concerned, please consult our tutorial.

Here is a simple example (not mathematically interesting):

To show the regular icosahedron you can just use icosahedron()->VISUAL; or icosahedron()->VISUAL_GRAPH; if you only want to see the vertices and the edges. What you will get exactly will depend on the configuration of your setup, the default backend being threejs. To show the four planes additionall...

Sorry, the correct homogenization of your example is the following. $quadric = toTropicalPolynomial("max(2*x,1+x+y,2+2*y,1+y+z,2*z,4+2*w)"); $TQuadric = new Hypersurface<Max>(POLYNOMIAL=>$quadric); $TQuadric->VISUAL; My previous explanation is valid: the input needs to be homogeneous, i.e....

polymake uses homogeneous polynomials throughout. Please replace the first line of your code by See this tutorial and these jupyter notebooks for more examples.

Could you please upload your `$my_dual_sub` and `$my_signs`? One way would be to save the `$S_0` object and share the resulting JSON.

I can't promise, but maybe we can do a bit more here.