E. A. Abbott wrote his famous story 120 years ago. He describes the life of the 2D creatures living in Flatland.We, as 3D creatures, are able to inspect everything in Flatland without leaving a trace behind. We also may influence the laws of physics in Flatland, for example by tilting it, which would change the gravity in Flatland.
We have shown how to convert the Flatland world from pure science fiction to experimental reality, at least the optical aspects of reality. Our experimental setup is shown in Fig. 1. A 3D point source and a 3D lens illuminate Flatland (y= 0) with a tilted plane wave. The Flatland physicist will observe a wavelength, which differs from the 3D wavelength λ by a directional factor.
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