The 12-color Dogic is the more challenging version, where the face centers must be rearranged to match the colors of the face centers in adjacent faces. The triangles must then match the corresponding colors in the face centers. The face centers are mathematically equivalent to the corner pieces of the Megaminx, and so the same algorithms may be used for solving either. The triangles are relatively easy to solve once the face centers are in place, because the 5 triangles per tip are identical in color and may be freely interchanged.