Growth forms of tilings are an interesting invariant of tilings. They are fully understood in the periodic case but we know very little in the quasiperiodic case. Here we study this problem for quasiperiodic tilings obtained by the grid method. We show that such tilings have polygonal/polyhedral growth forms that result from projections of central sections of orthoplexes. Finally we study characteristics of the computed growth forms in 2D and 3D cases.