Superspecial abelian varieties are positive characteristic phenomenon. These are abelian varieties enjoying many special, even super special l;-) properties, which I'll attempt to explain. After some background about stratifications of moduli spaces and how, in that context, the superspecial locus is the smallest, I will describe some more recent work on superspecial abelian varieties. In particular, work of M.-H. Nicole and A. Ghitza that makes use of the superspecial locus to construct modular forms and mention very briefly some beautiful graphs that can be constructed from the superspecial locus.