Aim of the study was the determination of minimum mass optimal shape for a hexagon-type (tetrapod-like) lattice superelement. The optimization was shape parameterization based and accomplished by metamodeling approach, also termed subproblem approximation. Prior to it, Latin hypercube type experimental designs were utilized for the study of correlation between selected geometric and structural parameters, which was subsequently used for making predictions as to what limits should be chosen for the constraining deformation parameter and what kind of geometries should be obtained. Additional topology optimization results were used as reference for defining thickness distribution functions for the intended shell geometry. The resulting geometries were in accordance with the expectations.