New projective theorems from self-stresses

Identify new projective theorems in the plane that can be obtained from self-stresses of projective rigidity matrices.

Background

The paper establishes a connection between self-stresses and classical projective incidence theorems. It remains unresolved whether this framework can produce projective theorems that are not already known.

References

Are there any new projective theorems found by self-stresses in the plane?

— 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 "Self-stresses"