  Graphene, dubbed as a two-dimensional material represents the topological
concept of "surface" embedded in a three-dimensional space. This regard enables
to employ existing theories/tools in topology to understand different
properties/observations in graphene. Under the light of the long-established
"Gauss's Theorema Egregium" we study wrinkled graphene, observing a peculiar
correlation between morphology and strain distribution. Compressing graphene on
water serves as an effectual platform to realize wrinkles; we explain the
evolution of the wrinkles and the global distribution of the strain field while
progressing the compression. The introduced platform in this paper offers an
efficient approach to precisely control the generation and evolution of the
wrinkles, transforming into a naturally occurring 3D landscape as a result of
graphene buckling.
