Twisted Fano spaces and their classification, linear completions of systems of triangle perspectives
Twisted Fano spaces i.e. linear spaces with the parameters of PG(3, 2) which contain a pencil of Fano subplanes are completely classified and characterized. In particular, it is proved that twisted Fano spaces are exactly all the linear completions of systems of triangle perspectives with point degree 4.
twisted fano space system of triangle perspectives veblen configuration multi-veblen configuration fano projective plane partial steiner triple system