Polyhedron: Preserve backend for barycentric subdivision

[kliem]

This is a follow up of #27926. barycentric_subdivision was forgotten there.

Currently we have

sage: polytopes.simplex(backend='field').barycentric_subdivision().backend()
'ppl'

The backend should not be changed with this construction, so the desired output in this case is 'field'.

CC: @jplab @videlec

Component: geometry

Keywords: polyhedron, polytopes, barycentric subdivision, backend

Author: Jonathan Kliem

Branch/Commit: ae7d717

Reviewer: Jean-Philippe Labbé

Issue created by migration from https://trac.sagemath.org/ticket/28430

[kliem]

Branch: public/28430

[kliem]

New commits:

ae7d717

preserve backend for barycentric subdivision

[kliem]

Commit: ae7d717

[jplab]

comment:2

Wow! Fast at fixing it! Great!

[tscrim]

comment:3

Is that a positive review JP?

[jplab]

Reviewer: Jean-Philippe Labbé

[jplab]

comment:4

At the moment that I wrote the lines, I was thinking about a potential improvement of the method, but it turns out it is a bit more involved, so I'd say yes, it is a positive review.

[vbraun]

Changed branch from public/28430 to ae7d717