  Geometric frustration effects were studied systematically with the Ising
antiferromagnet on the 11 Archimedean lattices using the Monte-Carlo methods.
The Wang-Landau algorithm for static properties (specific heat and residual
entropy) and the Metropolis algorithm for a freezing order parameter were
adopted. The exact residual entropy was also found. Based on the degree of
frustration and dynamic properties, ground states of them were determined. The
Shastry-Sutherland lattice and the trellis lattice are weakly-frustrated and
have two-dimensional and one-dimensional long-range-ordered ground states,
respectively. The bounce, maple-leaf, and star lattices have the spin ice
phase. The spin liquid phase appears in the triangular and kagom\'e lattices.
