Artificially-composed materials, often called metamaterials, are an increasingly considered measure for vibration control. By carefully arranging the material micro-structure, significant vibration attenuation is achievable in targeted frequency bands from resonant and wave scattering effects. An approach in designing materials for vibration control are micro-structures assembled from periodic cellular lattices. Such architectures result from the spatial repetition of cellular units that can be dynamically tuned by controlling the lattice characteristics. This contribution investigates the prospects of a three-dimensional lattice structure for application in vibration control. A unit cell design strategy is proposed based on the isometric Kelvin cell. By imposing twists on the faces of the Kelvin cell, a potential tuning mechanism for the cell's dispersive properties is introduced. Selected unit cell designs obtained from this approach are investigated in terms of the dispersion characteristics of 1D-infinite structures.