Auxetic materials and structures have been largely regarded because of their superior mechanical properties compared to other structures. These materials and structures contract (expand) laterally under uniaxial compression (tension). In this study, we have investigated different types of auxetic cells such as reentrant, chiral and non-chiral, rotating polygonal, and etc. Also, we have described their mechanical properties in a separate section. The applications of these cells were also investigated in various fields of automotive, medical and etc. In this study, in addition to previous works, recent works have also been introduced. Being a comprehensive reference for different types of auxetic cells, this study helps researchers design various auxetic structures.
