I was watching Nima's very popular talk (download if you're using chrome) (also mirrored at youtube here about the "Amplitudihedron", which has suddenly become very popular recently. He talks all about how the Amplitudihedron computes the same result for the scattering amplitudes as ordinary peturbation theory in a simple and elegant way, but I fail to understand how one actually computes the Amplitudihedron for a certain scattering process anyway? I'm especially stunned by the image (looks like a sort of a concrete example, don't know how they constructed the amplituhedron):