Descriptive homology nerve boundary-intersection conjecture for planar shapes

Let a finite, bounded, planar shape be equipped with a decomposition, and suppose it has at least one hole. Let a descriptive homology nerve be a nerve formed from 1-cycles according to a set of descriptions of those cycles.

Descriptive homology nerve boundary-intersection conjecture. Every such planar shape contains a descriptive homology nerve that intersects the boundary of a hole.

This extends the homology-nerve claim to descriptive proximity. The supplied text establishes that described cycles can form descriptive homology nerves, but gives no evidence resolving the boundary-intersection conjecture.