<div id="comment:0"></div> Follow-up on #20296, #20311, #20301. Updating `InteractiveLPBackend` to: - use the standard-form transformation, - simplify its code slightly by making use of the new `objective_constant_term` handling in `InteractiveLPProblem` - make the example of optimizing over the dodecahedron more natural and remove use of backend methods. - change default `base_ring` to QQ -- a much saner default because it's so much faster Depends on #20296 Depends on #20311 Depends on #20301 CC: @novoselt @dimpase @videlec Component: **numerical** Author: **Matthias Koeppe** Branch/Commit: **[`c8fa4b0`](https://github.com/sagemath/sagetrac-mirror/commit/c8fa4b0a9a706f79786f8ee94e0c955e3cabae51)** Reviewer: **Dima Pasechnik** _Issue created by migration from https://trac.sagemath.org/ticket/20413_