Inductive constructions for projective motions

Construct non-trivial inductive procedures that preserve infinitesimal projective motions and characterize inductive procedures that preserve independence or symmetry.

Background

The paper gives inductive constructions preserving independence and infinitesimal rigidity, including constructions of dyadic grids. It asks for broader construction principles that preserve motion spaces and other structural properties.

References

Can we find non-trivial inductive constructions preserving motions? Can we describe inductive constructions preserving properties such as independence or symmetry?

— Counting for rigidity under projective transformations in the plane  (2503.07228 - Berman et al., 10 Mar 2025) in Section "Open problems and future work," subsection "Projective Constructions"