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.