In this talk, I would like to explain to my colleagues of all fields of what I had done recently (joint with Lev Borisov): constructing mirror symmetry with non-commutative varieties. The motivation is to unify existing sporadic such examples in the frame work of double mirrors. I will then explain why such noncommutative varieties are derived equivalent. Although the formal construction and the rigorous proofs are quite subtle, they can be explained in a very simple way. Besides, I will run an example throughout the talk which only require primary school math. Toric varieties will be explained and open problems will be addressed.