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by joswig
29 May 2024, 13:37
Forum: Helpdesk
Topic: Confused by error message from truncation
Replies: 1
Views: 16

Re: Confused by error message from truncation

Your code complies with what is allowed in the docs. So it's probably a bug. Stay tuned.
by joswig
29 May 2024, 11:54
Forum: General Discussion
Topic: Plotting Binary Icosahedral
Replies: 3
Views: 35

Re: Plotting Binary Icosahedral

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?
by joswig
28 May 2024, 10:03
Forum: General Discussion
Topic: Plotting Binary Icosahedral
Replies: 3
Views: 35

Re: Plotting Binary Icosahedral

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.
by joswig
08 May 2024, 09:47
Forum: Helpdesk
Topic: union of cones
Replies: 1
Views: 319

Re: union of cones

Here is a simple example (not mathematically interesting):

Code: Select all

polytope > @list_of_cones = (); for (my $i=0; $i<5; ++$i) { my $C = new Cone(INPUT_RAYS=>[[1,0],[1,$i]]); push @list_of_cones, $C; } polytope > $u = fan::union_of_cones(\@list_of_cones); polytope > print $u->F_VECTOR; 5 4
by joswig
15 Apr 2024, 09:54
Forum: General Discussion
Topic: Plotting Icosahedron in Polymake
Replies: 2
Views: 1654

Re: Plotting Icosahedron in Polymake

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...
by joswig
03 Apr 2024, 11:35
Forum: Helpdesk
Topic: "ERROR: Cannot draw zero cycle at ... "
Replies: 4
Views: 4558

Re: "ERROR: Cannot draw zero cycle at ... "

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....
by joswig
24 Mar 2024, 12:15
Forum: Helpdesk
Topic: "ERROR: Cannot draw zero cycle at ... "
Replies: 4
Views: 4558

Re: "ERROR: Cannot draw zero cycle at ... "

polymake uses homogeneous polynomials throughout. Please replace the first line of your code by

Code: Select all

$quadric = toTropicalPolynomial("max(2*x,w+x+y,2*w+2*y,w+y+z,2*z,4*w)");
See this tutorial and these jupyter notebooks for more examples.
by joswig
18 Oct 2023, 15:53
Forum: Helpdesk
Topic: Recognizing the topology of surfaces
Replies: 8
Views: 15949

Re: Recognizing the topology of surfaces

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.
by joswig
23 Aug 2023, 11:27
Forum: General Discussion
Topic: constructing the bisectors of angles in polyhedra
Replies: 3
Views: 16147

Re: constructing the bisectors of angles in polyhedra

I still don't understand. Let's postpone this. Concerning your tertatoid, I think I know a way, modulo some experimenting. Here are the steps. (1) Construct the regular tetrahedron as the convex hull of every other vertex of the cube [-1,1]^3. Call this polytope T. (2) From each edge of T construct ...
by joswig
22 Aug 2023, 12:50
Forum: General Discussion
Topic: constructing the bisectors of angles in polyhedra
Replies: 3
Views: 16147

Re: constructing the bisectors of angles in polyhedra

What is the "perpendicular bisector" of an edge? Do you mean the affine hyperplane which is perpendicular to a given edge, passing through the midpoint of that edge? Your "tetartoid" is given without coordinates, and from the description given on that web page I cannot deduce how...

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