On some regular multi-veblen configurations, the geometry of combinatorial quasi Grassmannians

Multi-Veblen configurations which can be embedded into Desarguesian projective spaces were characterized in [8]: besides the class of combinatorial Grassmannians, only one further class of multi-Veblen configurations shares this property, namely the class of combinatorial quasi Grassmannians introduced in [8]. In this note we discuss relationships between combinatorial Grassmannians and combinatorial quasi Grassmannians, characterize automorphisms of combinatorial quasi Grassmannians, and present some visualizations of them.