#18454: New `random_cone()` function
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       Reporter:  mjo                |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.8
      Component:  geometry           |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Michael Orlitzky   |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/mjo/ticket/18454                 |  7bdaf1cd51d8f6f3007f11888991cefc186a4ee1
   Dependencies:                     |     Stopgaps:
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Comment (by novoselt):

 I have a problem with `min/max_dim` - I was sure they talk about the
 dimension of the cone, until I got to their description. The example with
 it is also confusing:
 {{{
     We can predict the dimension when ``min_dim == max_dim``::

         sage: set_random_seed()
         sage: random_cone(min_dim=4, max_dim=4, min_rays=0, max_rays=0)
         0-d cone in 4-d lattice N
 }}}
 To me this looks like we predict the dimension 0 based on `min/max_rays`.

 I would be in favour of using `min/max_dim` for the dimension of the cone,
 allowing specifying `lattice` together with these parameters as long as
 its dimension is at least `max_dim`, and when not given defaulting to
 `max_dim`-dimensional lattice. If you don't want to work on such
 functionality, can we please rename parameters to `min/max_ambient_dim` to
 avoid ambiguity when reading calls of this function?

--
Ticket URL: <http://trac.sagemath.org/ticket/18454#comment:19>
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