Spherical particles are widely considered as the benchmark stationary phase for preparative and analytical chromatography. Although this has proven true for randomly packed beds in the past, we challenge this paradigm for ordered packings, the fabrication of which are now feasible through additive manufacturing (3D printing). Using computational fluid dynamics (Lattice Boltzmann Method) this work shows that non-spherical particles can both reduce mobile-phase band broadening and increase permeability compared with spheres in ordered packed beds. In practice, ordered packed beds can only remain physically stable if the particles are fused to form a contiguous matrix, thus creating a positional overlap at the points of fusion between what would otherwise be discrete particles. Overlap is shown to decrease performance of ordered packed beds in all observed cases, thus we recommend it should be kept to the minimum extent necessary to ensure physical stability. Finally, we introduce a metric to estimate column performance, the mean deviated velocity, a quantitative description of the spread of the velocity field in the column. This metric appears to be a good indicator of mobile-phase dispersion in ordered packed bed media, including overlapped beds and is a useful tool for screening new stationary phase morphologies without having to perform computationally expensive simulations. Recent computational studies have demonstrated that ordered sphere packings can improve chromatographic performance compared with random packing 1,2. This is caused by the homogenous distribution of path lengths along which the mobile phase is transported through ordered media. These theoretical studies are now gaining practical relevance because ordered stationary phases can be fabricated using additive manufacturing technologies or three-dimensional printing 3-5. 3D printing offers a high level of control over the morphology of fabricated micro-structures, thus facilitating the translation of ordered packings from the virtual environment to practical implementation in real chromatographic systems 6-8. Spherical beads have been shown to have better chromatographic performance when compared to irregular particles in randomly packed beds 9. This was a result of more homogenous porosity distribution in packings of spherical particles, which increased the heterogeneity of the random flow channels and reduced eddy dispersion. Comparatively, ordered beds of spherical particles are homogeneous by design and inherently reduce eddy dispersion effects 1,2,10,11. Because ordered packings do not require the homogeneity that spherical particles provide in random packings, we question the superiority of spherical particles in the context of ordered packed beds.