  We show the existence of 112 non-singular rational curves on the
supersingular K3 surface with Artin invariant 1 in characteristic 3 by several
ways. Using these rational curves, we have a $(16)_{10}$-configuration and a
$(280_{4}, 112_{10})$-configuration on the K3 surface. Moreover we study the
Picard lattice by using the theory of the Leech lattice. The 112 non-singular
rational curves correspond to 112 Leech roots.
