Some Problems and Conjectures About Voloshin Triple Systems

In this paper we give a short survey of Voloshin Triple Systems, which are Steiner Triple Systems with a vertex colouring which colour the blocks using exactly two colours. We also provide two conjectures about VTSs obtained by the construction v⟶2v+1, starting from v=3. Finally, we point out some open problems about Steiner Systems S(2,4,v) with a similar vertex colouring, which could provide similar conjectures.