Graphene, a two - dimensional single atomic layer of carbon, is the ultimate realization of the "flatland". One the one hand, it is an extraordinary conductor and a promising candidate for electronic materials; on the other hand, it is also thinnest elastic membrane. In this talk I will present our results on both of these aspects: (1) novel transport phenomena in graphene, including coherent interference of multply-reflected charge waves, p-n-p junctions and gate-tunable supercurrent Josephson effect; and (2) ripple formation and manipulation on suspended graphene sheets. I will conclude the talk with a brief discussion on the fascinating prospect of strain-based graphene engineering.