3D models of porous structures were generated based on eight triply periodic surfaces (TPSs) and studied their thermal and mechanical properties. TPSs were derived from topological network representations of zeolite crystal structures via a previously developed method. The resulting TPSs correspond to P, C(P), and IW-P topological types. We developed software for the preparation of TPS models for 3D printing, simulated the corresponding porous materials, and computed their physical properties. We manufactured porous materials for three TPSs via 3D printing with styrene butadiene styrene and polyamide PA-12. The PA-12 samples were formed from the liquid phase, and their solidification occurred under UV radiation. The thermal and mechanical properties of the manufactured samples were studied numerically and experimentally. The results of the modeling were in good agreement with the experimental results.