  The Amplituhedron is a subspace of the Grassmannian that was recently defined
by Arkani-Hamed and Trnka in their study of scattering amplitudes in planar
$\mathcal{N}=4$ super Yang Mills theory (arXiv:1312.2007), and was the subject
of many papers in the last decade. In this work we define a tropical analog of
the amplituhedron, and develop techniques to address it. We prove that many of
the key properties of the amplituhedron hold also in this simpler, piecewise
linear, model.
