This is a study of Singularities of affine equidistants, especially an extrinsic geometry of surfaces in 4-space.
 Investigation  of the invariant geometry of surfaces in four space by the fields of reflection maps (continued research of P. Giblin, S. Janeczko, M. Ruas).
 Constructions of tetrahedral chains accessible to the modelling of DNA or other long bio-particles.
 Study of differential forms on polyhedral structures.