  The fate of the Ising ferromagnet and antiferromagnet by the zero-temperature
Glauber dynamics from random initial spin configuration is investigated in the
two-dimensional Archimedean and 2-uniform lattices. Blinker states are found in
addition to the ground state and metastable state. We show that an
even-coordinated lattice can arrive at a blinker state or a metastable state
without stripe structure, in contrast to common expectation. The universal
relationship between the critical percolation and the probability of stripe
final state is confirmed for six lattices. Results about the fate of the
antiferromagnetic Ising model show that the geometric frustration suppresses
ordering more and promotes blinker state.
