  Cellular solids are a class of materials that have many interesting
engineering applications, including ultralight structural materials. The
traditional method for analyzing these solids uses convex uniform polyhedral
honeycombs to represent the geometry of the material, and this approach has
carried over into the design of digital cellular solids. However, the use of
such honeycomb-derived lattices makes the problem of decomposing a
three-dimensional lattice into a library of two-dimensional parts non-trivial.
We introduce a method for generating periodic frameworks from triply periodic
minimal surfaces, which result in geometries that are easier to decompose into
digital parts. Additionally, we perform finite element modelling of two
cellular solids generated from two TPMS, the P- and D-Schwarz, and two cellular
solids, the Kelvin and Octet honeycombs. We show that the simulated behavior of
these TMPS-derived structures shows the expected modulus of the cellular solid
scaling linearly with relative density, which matches the behavior of the
highest-coordination honeycomb structure, the octet truss.
