The shapes of large decorated icosahedron elastic networks are determi
ned by minimizing the total elastic energy. In agreement with recent t
heoretical predictions, it is found that the asymptotic shape is a fla
t-sided polyhedron in which the radius of curvature at the edges scale
s as N-1/3, where N is proportional to the surface area. The total ene
rgy of these networks scales as N-1/6. Extremely large system sizes ar
e needed to observe this behavior. It is also shown that for sufficien
tly large networks, the mean curvature is negative over a large portio
n of the triangular faces of the icosahedron. Analogous scaling behavi
or should occur generally at ridges connecting discrete disclinations
in elastic sheets.