We report magnetic neutron-scattering measurements of incommensurate magnet
ic order in a superconducting single crystal of La1.88Sr0.12CuO4. We find t
hat the incommensurate wave vectors which describe the static magnetism do
not lie along high-symmetry directions of the underlying CuO2 lattice. The
positions of the elastic magnetic peaks are consistent with those found in
excess-oxygen doped La2CuO4+y. This behavior differs from the precise magne
tic order found in the low-temperature tetragonal LB1.6-xNd0.4SrxCuO4 mater
ial for which stripes of spin and charge have been observed. These observat
ions have clear implications for any stripe model proposed to describe the
static magnetism in orthorhombic La2CuO4-based superconductors.