The exemplified methods and systems facilitate manufacturing of a new class of mechanical, loading-bearing components having optimized stress/strain three-dimensional meta-structure structures (also referred to herein as “Meshagons”) as finite-element-based 3D volumetric mesh structures. The resulting three-dimensional meta-structure structures provide high strength, ultra-light connectivity, with programmable interlinkage properties (e.g., density/porosity of linkages).