  We present three interesting projective models of the supersingular K3
surface X in characteristic 5 with Artin invariant 1. For each projective
model, we determine smooth rational curves on X with the minimal degree and the
projective automorphism group. Moreover, by using the superspecial abelian
surface, we construct six sets of 16 disjoint smooth rational curves on X, and
show that they form a beautiful configuration.
