Metamaterials have strange properties and can be taylored or even controlled in order to achieve certain requirements. Microstructures leading to negative Poisson ratio in elasticity create auxetic metamaterials ( Greek word ‘αυξητικός’). They have enhanced mechanical properties, in statics but also  in dynamics and wave propagation. Our group works for the optimal design and investigates various applications of auxetics. Futuristic attempts to design adaptive metamaterials with included artificial intelligence are also being considered.