<div id="comment:0"></div> We outsource 3 crucial methods of `FaceIterator` to nogil functions. This is part of #28893: Parallel f-vector for polyhedra. Anything happening within `prange` should be without gil. Any function that is called in the parallel section needs to be nogil. Depends on #28894 Depends on #29654 CC: @jplab @LaisRast @tscrim Component: **geometry** Keywords: **polytopes, f-vector** Author: **Jonathan Kliem** Branch/Commit: **[`81372b6`](https://github.com/sagemath/sagetrac-mirror/commit/81372b652d2dd92c87b80a0795bb276e49c67985)** Reviewer: **Travis Scrimshaw** _Issue created by migration from https://trac.sagemath.org/ticket/29676_