The induced electrorheological solid has thick columns in the field direction ({ital z} axis), spreading between two electrodes. The ground state is proposed to be a body-centered tetragonal lattice with {bold a}{sub 1}= {radical}6 {ital a}{bold {cflx x}}, {bold a}{sub 2}= {radical}6 {ital a}{bold {cflx y}}, and {bold a}{sub 3}=2{ital a}{bold {cflx z}}, where {ital a} is the radius of dielectric spheres. This bct lattice can be regarded as a compound of chains of class {ital A} and {ital B}, where chains {ital B} are obtained from chains {ital A} by shifting a distance {ital a} in the {ital z} direction.