  The definition of the amplituhedron in terms of sign flips involves both
one-loop constraints and the "mutual positivity" constraint. To gain an
understanding of the all-loop integrand of $\mathcal{N}=4$ sYM requires
understanding the crucial role played by mutual positivity. This paper is an
attempt towards developing a procedure to introduce the complexities of mutual
positivity in a systematic and controlled manner. As the first step in this
procedure, we trivialize these constraints and understand the geometry
underlying the remaining constraints to all loops and multiplicities. We
present a host of configurations which correspond to various faces of the
amplituhedron. The results we derive are valid at all multiplicities and loop
orders for the maximally helicity violating (MHV) configurations. These include
detailed derivations for the results in arXiv:1810.08208 [hep-th]. We conclude
by indicating how one might move beyond trivial mutual positivity by presenting
a series of configuration which re-introduce it bit by bit.
