Previous work has shown that polymethacrylates with highly tapered side groups, such as poly{2-{2-[2-(2-methacryloyloxyethoxy)-ethoxy]ethoxy}ethyl-3,4,5-tris-(p-dodecyloxy-benzyloxy)benzoate} (H12-ABG-4EO-PMA), form columnar hexagonal (Col h , previously designated v h ) liquid crystalline structures. The small angle X-ray data for drawn fibers of H12-ABG-4EO-PMA, and also those of its hydroxy-terminated monomer precursor and decyloxy-homologue, contain several weak equatorial Bragg reflections in addition to those characteristic of the Col h phase. The intensities of these extra reflections decline progressively on heating and disappear before the temperature of the Col h -to-isotropic transition is reached. It is proposed that the as-drawn fibers contain a second phase, which is probably a columnar liquid crystalline structure in view of the decreases in the observed d-spacings with increasing temperature. The additional reflections are indexed by a two dimensional monoclinic lattice, which probably contains columns with elliptical cross-section. The lower symmetry is consistent with the formation of a tilted columnar phase analogous to those formed by certain low molecular weight discotic materials.