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Auxetic materials attract attention due to their mechanical properties for over 100 years. These advanced materials with negative Poisson’s ratio are recently gaining special interest. State-of-the-art fabrication techniques allow for greater design freedom and systematic investigation. We consider the characteristics and the design of structured polymeric materials with the aim to create three-dimensional (3D) mechanical metamaterials with negative Poisson’s ratios. 3D models of different structures are simulated with finite-element methods using the software package Comsol Multiphysics. Samples of relevant geometries with sizes between tens of micrometers and 0.3 millimeters are fabricated using direct laser writing (DLW). Arbitrary 3D manufacturing offered by DLW allows for tuning the Poisson’s ratio of the material. The fabricated mechanical metamaterials are well structured as can be seen in Fig. 1, show a high degree of translational symmetry, and maintain fidelity to the blueprint over the extent of the entire structure. 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